Combining Philosophers

All the ideas for Michael Tooley, Kit Fine and David Lewis

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564 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
Honesty requires philosophical theories we can commit to with our ordinary commonsense [Lewis]
     Full Idea: The maxim of honesty: never put forward a philosophical theory that you yourself cannot believe in your least philosophical and most commonsensical moments.
     From: David Lewis (On the Plurality of Worlds [1986], 2.8)
     A reaction: I take it as important that this test is according to the philosopher's commonsense, and not according to some populist idea. This would allow, for example, for commonsense to be sensitive to scientific knowledge, or awareness of the logic.
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / c. Philosophy as generalisation
We understand things through their dependency relations [Fine,K]
     Full Idea: We understand a defined object (what it is) through the objects on which it depends.
     From: Kit Fine (Ontological Dependence [1995], II)
     A reaction: This places dependency relations right at the heart of our understanding of the world, and hence shifts traditional metaphysics away from existence and identity. The notion of explanation is missing from Fine's account.
1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
Philosophers with a new concept are like children with a new toy [Fine,K]
     Full Idea: Philosophers with a new concept are like children with a new toy; their world shrinks to one in which it takes centre stage.
     From: Kit Fine (Intro to 'Modality and Tense' [2005], p.10)
     A reaction: A wonderfully accurate observation, I'm afraid. You can trace the entire history of the subject as a wave of obsessions with exciting new ideas. Fine is referring to a posteriori necessities and possible worlds.
1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
Metaphysics deals with the existence of things and with the nature of things [Fine,K]
     Full Idea: Metaphysics has two main areas of concern: one is with the nature of things, with what they are; and the other is with the existence of things, with whether they are.
     From: Kit Fine (Ontological Dependence [1995], I)
     A reaction: This paper is part of a movement which has shifted metaphysics to a third target - how things relate to one another. The possibility that this third aim should be the main one seems quite plausible to me.
1. Philosophy / E. Nature of Metaphysics / 2. Possibility of Metaphysics
If metaphysics can't be settled, it hardly matters whether it makes sense [Fine,K]
     Full Idea: If there is no way of settling metaphysical questions, then who cares whether or not they make sense?
     From: Kit Fine (The Question of Realism [2001], 4 n20)
     A reaction: This footnote is aimed at logical positivists, who seemed to worry about whether metaphysics made sense, and also dismissed its prospects even if it did make sense.
1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
I tried to be unsystematic and piecemeal, but failed; my papers presuppose my other views [Lewis]
     Full Idea: I should have like to be a piecemeal, unsystematic philosopher, offering independent proposals on a variety of topics. It was not be. I succumbed too often to the temptation to presuppose my views on one topic when writing on another.
     From: David Lewis (Introduction to Philosophical Papers I [1983], p.1)
     A reaction: He particularly mentions his possible worlds realism as a doctrine which coloured all his other work. A charming insight into the mind of a systematic thinker (called by someone 'the most systematic metaphysician since Leibniz').
1. Philosophy / E. Nature of Metaphysics / 5. Metaphysics beyond Science
Realist metaphysics concerns what is real; naive metaphysics concerns natures of things [Fine,K]
     Full Idea: We may broadly distinguish between two main branches of metaphysics: the 'realist' or 'critical' branch is concerned with what is real (tense, values, numbers); the 'naive' or 'pre-critical' branch concerns natures of things irrespective of reality.
     From: Kit Fine (Guide to Ground [2012], 1.02)
     A reaction: [compressed] The 'natures' of things are presumably the essences. He cites 3D v 4D objects, and the status of fictional characters, as examples of the second type. Fine says ground is central to realist metaphysics.
1. Philosophy / E. Nature of Metaphysics / 7. Against Metaphysics
'Quietist' says abandon metaphysics because answers are unattainable (as in Kant's noumenon) [Fine,K]
     Full Idea: The 'quietist' view of metaphysics says that realist metaphysics should be abandoned, not because its questions cannot be framed, but because their answers cannot be found. The real world of metaphysics is akin to Kant's noumenal world.
     From: Kit Fine (The Question of Realism [2001], 4)
     A reaction: [He cites Blackburn, Dworkin, A.Fine, and Putnam-1987 as quietists] Fine aims to clarify the concepts of factuality and of ground, in order to show that metaphysics is possible.
1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis
Analysis reduces primitives and makes understanding explicit (without adding new knowledge) [Lewis]
     Full Idea: The object of analysis is to reduce our burden of primitive notions, and to make tacit understanding explicit - not to bootstrap ourselves into understanding what we didn't understand at all beforehand.
     From: David Lewis (On the Plurality of Worlds [1986], 3.2)
     A reaction: I am particularly keen on the idea of 'making tacit understanding explicit'. I connect this with faith in intuition, and with the coherence view of justification.
Armstrong's analysis seeks truthmakers rather than definitions [Lewis]
     Full Idea: I suggest that Armstrong has an unfamiliar notion of analysis, as not primarily a quest for definitions, but as a quest for truth-makers.
     From: David Lewis (Armstrong on combinatorial possibility [1992], 'The demand')
     A reaction: This is not a dichotomy, I think, but a shift of emphasis. A definition will probably refer to truthmakers; a decent account of truthmakers would approximate a definition.
1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis
In addition to analysis of a concept, one can deny it, or accept it as primitive [Lewis]
     Full Idea: There are three ways to give an account: 1) 'I deny it' - this earns a failing mark if the fact is really Moorean. 2) 'I analyse it thus'. 3) 'I accept it as primitive'. Not every account is an analysis.
     From: David Lewis (New work for a theory of universals [1983], '1 Ov Many')
     A reaction: I prefer Shoemaker's view (Idea 8559). Personally I think 1) should be employed more often than it is (it is a very misunderstood approach). 3) has been overused in recent years (e.g. by Davidson and McGinn).
My account shows how the concept works, rather than giving an analysis [Fine,K]
     Full Idea: My assimilation of essence to definition ...may not provide us with an analysis of the concept, but it does provide us with a good model of how the concept works.
     From: Kit Fine (Essence and Modality [1994], p. 3)
     A reaction: An example of the modern shift in analytic philosophy, away from the dream of given a complete analysis of a concept, towards giving an account of the concepts relationships. Compare Shoemaker in Idea 8559.
1. Philosophy / F. Analytic Philosophy / 6. Logical Analysis
Study vagueness first by its logic, then by its truth-conditions, and then its metaphysics [Fine,K]
     Full Idea: My investigation of vagueness began with the question 'What is the correct logic of vagueness?', which led to the further question 'What are the correct truth-conditions for a vague language?', which led to questions of meaning and existence.
     From: Kit Fine (Vagueness, Truth and Logic [1975], Intro)
     A reaction: This is the most perfect embodiment of the strategy of analytical philosophy which I have ever read. It is the strategy invented by Frege in the 'Grundlagen'. Is this still the way to go, or has this pathway slowly sunk into the swamp?
1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
Concern for rigour can get in the way of understanding phenomena [Fine,K]
     Full Idea: It is often the case that the concern for rigor gets in the way of a true understanding of the phenomena to be explained.
     From: Kit Fine (Replies on 'Limits of Abstraction' [2005], 2)
     A reaction: This is a counter to Timothy Williamson's love affair with rigour in philosophy. It strikes me as the big current question for analytical philosophy - of whether the intense pursuit of 'rigour' will actually deliver the wisdom we all seek.
2. Reason / D. Definition / 1. Definitions
Interdefinition is useless by itself, but if we grasp one separately, we have them both [Lewis]
     Full Idea: All circles of interdefinition are useless by themselves. But if we reach one of the interdefined pair, then we have them both.
     From: David Lewis (Defining 'Intrinsic' (with Rae Langton) [1998], IV)
2. Reason / D. Definition / 2. Aims of Definition
Defining terms either enables elimination, or shows that they don't require elimination [Lewis]
     Full Idea: To define theoretical terms might be to show how to do without them, but it is better to say that it shows there is no good reason to want to do without them.
     From: David Lewis (How to Define Theoretical Terms [1970], Intro)
Definitions concern how we should speak, not how things are [Fine,K]
     Full Idea: Our concern in giving a definition is not to say how things are by to say how we wish to speak
     From: Kit Fine (Precis of 'Limits of Abstraction' [2005], p.310)
     A reaction: This sounds like an acceptable piece of wisdom which arises out of analytical and linguistic philosophy. It puts a damper on the Socratic dream of using definition of reveal the nature of reality.
2. Reason / D. Definition / 3. Types of Definition
Implicit definitions must be satisfiable, creative definitions introduce things, contextual definitions build on things [Fine,K, by Cook/Ebert]
     Full Idea: Fine distinguishes 'implicit definitions', where we must know it is satisfiable before it is deployed, 'creative definitions', where objects are introduced in virtue of the definition, ..and 'contextual definitions', based on established vocabulary.
     From: report of Kit Fine (The Limits of Abstraction [2002], 060) by R Cook / P Ebert - Notice of Fine's 'Limits of Abstraction' 3
     A reaction: Fine is a fan of creative definition. This sounds something like the distinction between cutting nature at the perceived joints, and speculating about where new joints might be inserted. Quite a helpful thought.
'Creative definitions' do not presuppose the existence of the objects defined [Fine,K]
     Full Idea: What I call 'creative definitions' are made from a standpoint in which the existence of the objects that are to be assigned to the terms is not presupposed.
     From: Kit Fine (The Limits of Abstraction [2002], II.1)
2. Reason / D. Definition / 4. Real Definition
Definitions formed an abstract hierarchy for Aristotle, as sets do for us [Fine,K]
     Full Idea: For us it is sets which constitute the most natural example of a hierarchical structure within the abstract realm; but for Aristotle it would have been definitions, via their natural division into genus and differentia.
     From: Kit Fine (Aristotle on Matter [1992], §1 n4)
     A reaction: I suppose everyone who thinks about reality in abstraction ends up with a hierarchy. Compare the hierarchy of angelic hosts, or Greek gods. Could we get back to the Aristotelian view, instead of sets, which are out of control at the top end?
Modern philosophy has largely abandoned real definitions, apart from sortals [Fine,K]
     Full Idea: In modern analytic philosophy we find that, as a result of sustained empiricist critique, the idea of real definition has been more or less given up (unless it be taken to be vestigially present in the notion of a sortal).
     From: Kit Fine (Essence and Modality [1994], p. 3)
     A reaction: The account of essences as falling under sortals (roughly, categorising terms) is associated with David Wiggins. Kit Fine is in the business of reviving Aristotelian real definitions, as are fans of scientific essentialism (see under 'Nature').
Maybe two objects might require simultaneous real definitions, as with two simultaneous terms [Fine,K]
     Full Idea: In Wooster as the witless bachelor and Jeeves as the crafty manservant, and one valet to the other, we will have the counterpart, within the framework of real definition, to the simultaneous definition of two terms.
     From: Kit Fine (Ontological Dependence [1995], III)
     A reaction: This is wonderful grist to the mill of scientific essentialism, which endeavours to produce an understanding through explanation of the complex interactions of nature.
2. Reason / D. Definition / 5. Genus and Differentia
Aristotle sees hierarchies in definitions using genus and differentia (as we see them in sets) [Fine,K]
     Full Idea: For us, sets constitute the most natural example of a hierarchical structure within the abstract realm. But for Aristotle it would have been definitions, via their natural division into genus and differentia.
     From: Kit Fine (Aristotle on Matter [1992], 1 n4)
     A reaction: Genus and differentia are only part of the story in Aristotle, and this remarks strikes me as perceptive. It is precisely the mapping of the explanatory hierarchy which Aristotle seeks in a good definition.
2. Reason / D. Definition / 6. Definition by Essence
Defining a term and giving the essence of an object don't just resemble - they are the same [Fine,K]
     Full Idea: There is an analogy between defining a term and giving the essence of an object. ..However, I am inclined to think that the two cases are not merely parallel but are, at bottom, the same.
     From: Kit Fine (Essence and Modality [1994], p.13)
     A reaction: The proposal is something like the meaning of a concept being the essence of the concept. And essence is definition. The parallel is that they both lead to necessities, either derived from objects or from concepts. Sounds good to me.
The essence or definition of an essence involves either a class of properties or a class of propositions [Fine,K]
     Full Idea: If each object has a unique essence or definition, this may be identified with either the class of properties that it essentially has, or with the class of propositions that are true in virtue of what it is.
     From: Kit Fine (Senses of Essence [1995], §8)
     A reaction: Elsewhere Fine says that it is easier to work with the propositions view, but that the properties (or predicates) view is probably more fundamental. He goes on here to raise the question of whether either view makes the essence unique.
2. Reason / E. Argument / 1. Argument
Arguments are nearly always open to challenge, but they help to explain a position rather than force people to believe [Lewis]
     Full Idea: Philosophical arguments are never incontrovertible - well, hardly ever. Their purpose is to help expound a position, not to coerce agreement.
     From: David Lewis (Lewis: reduction of mind (on himself) [1994], p.419)
     A reaction: A bit over-cautious, perhaps. Most philosophers are converted to a position when they hear a single key argument, though it is probably 'tipping the balance' of previous discussions.
3. Truth / A. Truth Problems / 5. Truth Bearers
To be true a sentence must express a proposition, and not be ambiguous or vague or just expressive [Lewis]
     Full Idea: Sentences or assertions can be derivately called true, if they succeed in expressing determinate propositions. A sentence can be ambiguous or vague or paradoxical or ungrounded or not declarative or a mere expression of feeling.
     From: David Lewis (Forget the 'correspondence theory of truth' [2001], p.276)
     A reaction: Lewis has, of course, a peculiar notion of what a proposition is - it's a set of possible worlds. I, with my more psychological approach, take a proposition to be a particular sort of brain event.
3. Truth / A. Truth Problems / 6. Verisimilitude
Verisimilitude might be explained as being close to the possible world where the truth is exact [Lewis]
     Full Idea: We might explain the closeness to the truth (or 'verisimilitude') in terms of closeness of possible worlds. A theory is close to the truth to the extent that our world resembles some world where that theory is exactly true.
     From: David Lewis (On the Plurality of Worlds [1986], 1.3)
     A reaction: [Lewis cites Risto Hilpinen for this thought] I am always puzzled why Lewis and co. talk of whole worlds in their accounts. If I am close to the truth about cooking a good omelette, what has the rest of the world got to do with it?
Verisimilitude has proved hard to analyse, and seems to have several components [Lewis]
     Full Idea: The analysis of verisimilitude has been much debated. Some plausible analyses have failed disastrously, others conflict with one another. One conclusion is that verisimilitude seems to consist of several distinguishable virtues.
     From: David Lewis (Causal Explanation [1986], V n7)
     A reaction: Presumably if it is complex, you can approach truth in one respect while receding from it in another. It seems clear enough if you are calculating pi by some iterative process.
3. Truth / B. Truthmakers / 2. Truthmaker Relation
Truthmakers are about existential grounding, not about truth [Lewis]
     Full Idea: Instances of the truthmaker principle are equivalent to biconditionals not about truth but about the existential grounding of all manner of other things; the flying pigs, or what-have-you.
     From: David Lewis (Forget the 'correspondence theory of truth' [2001])
     A reaction: The question then is what the difference is between 'existential grounding' and 'truth'. There wouldn't seem to be any difference at all if the proposition in question was a simple existential claim.
3. Truth / B. Truthmakers / 3. Truthmaker Maximalism
Truths need not always have their source in what exists [Fine,K]
     Full Idea: There is no reason in principle why the ultimate source of what is true should always lie in what exists.
     From: Kit Fine (Guide to Ground [2012], 1.03)
     A reaction: This seems to be the weak point of the truthmaker theory, since truths about non-existence are immediately in trouble. Saying reality makes things true is one thing, but picking out a specific bit of it for each truth is not so easy.
3. Truth / B. Truthmakers / 5. What Makes Truths / a. What makes truths
Predications aren't true because of what exists, but of how it exists [Lewis]
     Full Idea: Predications seem, for the most part, to be true not because of whether things are, but because of how things are.
     From: David Lewis (Armstrong on combinatorial possibility [1992], 'The demand')
     A reaction: This simple point shows that you get into a tangle if you insist that truthmakers just consist of what exists. Lewis says Armstrong offers states of affairs as truthmakers for predications.
Some sentences depend for their truth on worldly circumstances, and others do not [Fine,K]
     Full Idea: There is a distinction between worldly and unworldly sentences, between sentences that depend for their truth upon the worldly circumstances and those that do not.
     From: Kit Fine (Necessity and Non-Existence [2005], Intro)
     A reaction: Fine is fishing around in the area between the necessary, the a priori, truthmakers, and truth-conditions. He appears to be attempting a singlehanded reconstruction of the concepts of metaphysics. Is he major, or very marginal?
3. Truth / B. Truthmakers / 5. What Makes Truths / d. Being makes truths
Say 'truth is supervenient on being', but construe 'being' broadly [Lewis]
     Full Idea: I want to say that 'truth is supervenient on being', but as an Ostrich about universals I want to construe 'being' broadly.
     From: David Lewis (Armstrong on combinatorial possibility [1992], 'Truth')
     A reaction: [His slogan is borrowed from Bigelow 1988:132-,158-9] This seems much more promising that the more precise and restricted notion of truthmakers, as resting on the existence of particular things. Presentism is the big test case.
3. Truth / B. Truthmakers / 6. Making Negative Truths
If it were true that nothing at all existed, would that have a truthmaker? [Lewis]
     Full Idea: If there was absolutely nothing at all, then it would have been true that there was nothing. Would there have been a truthmaker for this truth?
     From: David Lewis (A world of truthmakers? [1998], p.220)
     A reaction: This is a problem for Lewis's own claim that 'truth supervenes on being', as well as the more restricted truthmakers invoked by Armstrong.
3. Truth / B. Truthmakers / 7. Making Modal Truths
If the truth-making relation is modal, then modal truths will be grounded in anything [Fine,K]
     Full Idea: The truth-making relation is usually explicated in modal terms, ...but this lets in far too much. Any necessary truth will be grounded by anything. ...The fact that singleton Socrates exists will be a truth-maker for the proposition that Socrates exists.
     From: Kit Fine (Guide to Ground [2012], 1.03)
     A reaction: If truth-makers are what has to 'exist' for something to be true, then maybe nothing must exist for a necessity to be true - in which case it has no truth maker. Or maybe 2 and 4 must 'exist' for 2+2=4?
3. Truth / B. Truthmakers / 9. Making Past Truths
Presentism says only the present exists, so there is nothing for tensed truths to supervene on [Lewis]
     Full Idea: Presentism says that although there is nothing outside the present, yet there are past-tensed and future-tensed truths that do not supervene on the present, and hence do not supervene on being.
     From: David Lewis (Armstrong on combinatorial possibility [1992], p.207)
     A reaction: Since I rather like both presentism and truth supervening on being, this observation comes as rather a devastating blow. I thought philosophy would be quite easy, but it's turning out to be rather tricky. Could tensed truths supervene on the present?
3. Truth / B. Truthmakers / 11. Truthmaking and Correspondence
Truthmaker is correspondence, but without the requirement to be one-to-one [Lewis]
     Full Idea: The truthmaker principle seems to be a version of the correspondence theory of truth, but differs mostly in denying that the correspondence of truths to facts must be one-to-one.
     From: David Lewis (Forget the 'correspondence theory of truth' [2001], p.277)
     A reaction: In other words, several different sentences might have exactly the same truthmaker.
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / h. System S5
S5 provides the correct logic for necessity in the broadly logical sense [Fine,K]
     Full Idea: S5 provides the correct logic for necessity in the broadly logical sense.
     From: Kit Fine (Model Theory for Modal Logic I [1978], 151), quoted by Charles Chihara - A Structural Account of Mathematics
     A reaction: I have no view on this, but I am prejudiced in favour of the idea that there is a correct logic for such things, whichever one it may be. Presumably the fact that S5 has no restrictions on accessibility makes it more comprehensive and 'metaphysical'.
4. Formal Logic / D. Modal Logic ML / 4. Alethic Modal Logic
For modality Lewis rejected boxes and diamonds, preferring worlds, and an index for the actual one [Lewis, by Stalnaker]
     Full Idea: Lewis was suspicious of boxes and diamonds as regimenting ordinary modal thought, …preferring a first-order extensional theory including possible worlds in its domain and an indexical singular term for the actual world.
     From: report of David Lewis (Anselm and Actuality [1970]) by Robert C. Stalnaker - Mere Possibilities 3.8
4. Formal Logic / E. Nonclassical Logics / 3. Many-Valued Logic
Strong Kleene disjunction just needs one true disjunct; Weak needs the other to have some value [Fine,K]
     Full Idea: Under strong Kleene tables, a disjunction will be true if one of the disjuncts is true, regardless of whether or not the other disjunct has a truth-value; under the weak table it is required that the other disjunct also have a value. So for other cases.
     From: Kit Fine (Some Puzzles of Ground [2010], n7)
     A reaction: [see also p.111 of Fine's article] The Kleene tables seem to be the established form of modern three-valued logic, with the third value being indeterminate.
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Sets are mereological sums of the singletons of their members [Lewis, by Armstrong]
     Full Idea: Lewis pointed out that many-membered classes are nothing more than the mereological wholes of the classes formed by taking the singleton of each member.
     From: report of David Lewis (Parts of Classes [1991]) by David M. Armstrong - Truth and Truthmakers 09.4
     A reaction: You can't combine members to make the class, because the whole and the parts are of different type, but here the parts and whole are both sets, so they combine like waterdrops.
Mathematics reduces to set theory, which reduces, with some mereology, to the singleton function [Lewis]
     Full Idea: It is generally accepted that mathematics reduces to set theory, and I argue that set theory in turn reduces, with some aid of mereology, to the theory of the singleton function.
     From: David Lewis (Mathematics is Megethology [1993], p.03)
We can build set theory on singletons: classes are then fusions of subclasses, membership is the singleton [Lewis]
     Full Idea: The notion of a singleton, or unit set, can serve as the distinctive primitive of set theory. The rest is mereology: a class is the fusion of its singleton subclasses, something is a member of a class iff its singleton is part of that class.
     From: David Lewis (Parts of Classes [1991], Pref)
     A reaction: This is a gloriously bold proposal which I immediately like, because it cuts out the baffling empty set (which many people think 'exists'!), and gets mathematics back to being about the real world of entities (as the Greeks thought).
4. Formal Logic / F. Set Theory ST / 2. Mechanics of Set Theory / b. Terminology of ST
Classes divide into subclasses in many ways, but into members in only one way [Lewis]
     Full Idea: A class divides exhaustively into subclasses in many different ways; whereas a class divides exhaustively into members in only one way.
     From: David Lewis (Parts of Classes [1991], 1.2)
A subclass of a subclass is itself a subclass; a member of a member is not in general a member [Lewis]
     Full Idea: Just as a part of a part is itself a part, so a subclass of a subclass is itself a subclass; whereas a member of a member is not in general a member.
     From: David Lewis (Parts of Classes [1991], 1.2)
     A reaction: Lewis is showing the mereological character of sets, but this is a key distinction in basic set theory. When the members of members are themselves members, the set is said to be 'transitive'.
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
We needn't accept this speck of nothingness, this black hole in the fabric of Reality! [Lewis]
     Full Idea: Must we accept the null set as a most extraordinary individual, a little speck of sheer nothingness, a sort of black hole in the fabric of Reality itself? Not really.
     From: David Lewis (Parts of Classes [1991], 1.4)
     A reaction: We can only dream of reaching the level of confidence that Lewis reached, to make such beautiful fun of a highly counterintuitive idea that is rooted in the modern techniques of philosophy.
We can accept the null set, but there is no null class of anything [Lewis]
     Full Idea: There is no such class as the null class. I don't mind calling some memberless thing - some individual - the null 'set'. But that doesn't make it a memberless class.
     From: David Lewis (Parts of Classes [1991], 1.2)
     A reaction: The point is that set theory is a formal system which can do what it likes, but classes are classes 'of' things. Everyone assumes that sets are classes, reserving 'proper classes' for the tricky cases up at the far end.
There are four main reasons for asserting that there is an empty set [Lewis]
     Full Idea: The null set is a denotation of last resort for class-terms that fail to denote classes, an intersection of x and y where they have no members in common, the class of all self-members, and the real numbers such that x^2+1=0. This is all mere convenience.
     From: David Lewis (Parts of Classes [1991], 1.4)
     A reaction: A helpful catalogue of main motivations for the existence of the null set in set theory. Lewis aims to undermine these reasons, and dispense with the wretched thing.
We can accept the null set, but not a null class, a class lacking members [Lewis]
     Full Idea: In my usage of 'class', there is no such things as the null class. I don't mind calling some memberless thing - some individual - the null set. But that doesn't make it a memberless class. Rather, that makes it a 'set' that is not a class.
     From: David Lewis (Mathematics is Megethology [1993], p.05)
     A reaction: Lewis calls this usage 'idiosyncratic', but it strikes me as excellent. Set theorists can have their vital null class, and sensible people can be left to say, with Lewis, that classes of things must have members.
The null set is not a little speck of sheer nothingness, a black hole in Reality [Lewis]
     Full Idea: Should we accept the null set as a most extraordinary individual, a little speck of sheer nothingness, a sort of black hole in the fabric of Reality itself? Not that either, I think.
     From: David Lewis (Mathematics is Megethology [1993], p.09)
     A reaction: Correct!
The null set plays the role of last resort, for class abstracts and for existence [Lewis]
     Full Idea: The null set serves two useful purposes. It is a denotation of last resort for class abstracts that denote no nonempty class. And it is an individual of last resort: we can count on its existence, and fearlessly build the hierarchy of sets from it.
     From: David Lewis (Mathematics is Megethology [1993], p.09)
     A reaction: This passage assuages my major reservation about the existence of the null set, but at the expense of confirming that it must be taken as an entirely fictional entity.
4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
If we don't understand the singleton, then we don't understand classes [Lewis]
     Full Idea: Our utter ignorance about the nature of the singletons amounts to sheer ignorance about the nature of classes generally.
     From: David Lewis (Parts of Classes [1991], 2.1)
If singleton membership is external, why is an object a member of one rather than another? [Lewis]
     Full Idea: Suppose the relation of member to singleton is external. Why must Possum be a member of one singleton rather than another? Why isn't it contingent which singleton is his?
     From: David Lewis (Parts of Classes [1991], 2.2)
     A reaction: He cites Van Inwagen for raising this question, and answers it in terms of counterparts. So is the relation internal or external? I think of sets as pairs of curly brackets, not existing entities, so the question doesn't bother me.
Maybe singletons have a structure, of a thing and a lasso? [Lewis]
     Full Idea: Maybe the singleton of something x is not an atom, but consists of x plus a lasso. That gives a singleton an internal structure. ...But what do we know of the nature of the lasso, or how it fits? We are no better off.
     From: David Lewis (Parts of Classes [1991], 2.5)
     A reaction: [second bit on p.45]
What on earth is the relationship between a singleton and an element? [Lewis]
     Full Idea: A new student of set theory has just one thing, the element, and he has another single thing, the singleton, and not the slightest guidance about what one thing has to do with the other.
     From: David Lewis (Mathematics is Megethology [1993], p.12)
Are all singletons exact intrinsic duplicates? [Lewis]
     Full Idea: Are all singletons exact intrinsic duplicates?
     From: David Lewis (Mathematics is Megethology [1993], p.13)
We can replace the membership relation with the member-singleton relation (plus mereology) [Lewis]
     Full Idea: Given the theory of part and whole, the member-singleton relation may replace membership generally as the primitive notion of set theory.
     From: David Lewis (Parts of Classes [1991], Pref)
     A reaction: An obvious question is to ask what the member-singleton relation is if it isn't membership.
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
Set theory has some unofficial axioms, generalisations about how to understand it [Lewis]
     Full Idea: Set theory has its unofficial axioms, traditional remarks about the nature of classes. They are never argued, but are passed heedlessly from one author to another. One of these says that the classes are nowhere: they are outside space and time.
     From: David Lewis (Parts of Classes [1991], 2.1)
     A reaction: Why don't the people who write formal books on set theory ever say things like this?
Set theory reduces to a mereological theory with singletons as the only atoms [Lewis, by MacBride]
     Full Idea: Lewis has shown that set theory may be reduced to a mereological theory in which singletons are the only atoms.
     From: report of David Lewis (Parts of Classes [1991]) by Fraser MacBride - Review of Chihara's 'Structural Acc of Maths' p.80
     A reaction: Presumably the axiom of extensionality, that a set is no more than its members, translates into unrestricted composition, that any parts will make an object. Difficult territory, but I suspect that this is of great importance in metaphysics.
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / a. Sets as existing
Set theory isn't innocent; it generates infinities from a single thing; but mathematics needs it [Lewis]
     Full Idea: Set theory is not innocent. Its trouble is that when we have one thing, then somehow we have another wholly distinct thing, the singleton. And another, and another....ad infinitum. But that's the price for mathematical power. Pay it.
     From: David Lewis (Parts of Classes [1991], 3.6)
If singletons are where their members are, then so are all sets [Lewis]
     Full Idea: If every singleton was where its member was, then, in general, classes would be where there members were.
     From: David Lewis (Parts of Classes [1991], 2.1)
     A reaction: There seems to be a big dislocation of understanding of the nature of sets, between 'pure' set theory, and set theory with ur-elements. I take the pure to be just an 'abstraction' from the more located one. The empty set has a puzzling location.
A huge part of Reality is only accepted as existing if you have accepted set theory [Lewis]
     Full Idea: The preponderant part of Reality must consist of unfamiliar, unobserved things, whose existence would have gone unsuspected but for our acceptance of set theory.
     From: David Lewis (Parts of Classes [1991], 2.6)
     A reaction: He is referring to the enormous sets at the far end of set theory, of a size that had never been hitherto conceived. Excellent. Daft to believe in something entirely because you have accepted set theory, with no other basis.
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
There is no stage at which we can take all the sets to have been generated [Fine,K]
     Full Idea: There is no stage at which we can take all the sets to have been generated, since the set of all those sets which have been generated at a given stage will itself give us something new.
     From: Kit Fine (Replies on 'Limits of Abstraction' [2005], 1)
4. Formal Logic / G. Formal Mereology / 1. Mereology
Megethology is the result of adding plural quantification to mereology [Lewis]
     Full Idea: Megethology is the result of adding plural quantification, as advocated by George Boolos, to the language of mereology.
     From: David Lewis (Mathematics is Megethology [1993], p.03)
Part and whole contribute asymmetrically to one another, so must differ [Fine,K]
     Full Idea: The whole identity of a part is relevant to whether it is a part, but the identity of the whole makes a part a part. The whole part belongs to the whole as a part. The standard account in terms of time-slices fails to respect this part/whole asymmetry.
     From: Kit Fine (Things and Their Parts [1999], §2)
     A reaction: Hard to follow, but I think the asymmetry is that the wholeness of the part contributes to the wholeness of the whole, while the wholeness of the whole contributes to the parthood of the part. Wholeness does different jobs in different directions. OK?
4. Formal Logic / G. Formal Mereology / 3. Axioms of Mereology
We might combine the axioms of set theory with the axioms of mereology [Fine,K]
     Full Idea: We might combine the standard axioms of set theory with the standard axioms of mereology.
     From: Kit Fine (Replies on 'Limits of Abstraction' [2005], 1)
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
Indeterminacy is in conflict with classical logic [Fine,K]
     Full Idea: I now believe that the existence of indeterminacy is in conflict with classical logic.
     From: Kit Fine (Vagueness: a global approach [2020], 3)
     A reaction: I think that prior to this Fine had defended classical logic. Presumably the difficulty is over Bivalence. Nietzsche spotted this problem, despite not being a logician. Logic has to simplify the world. Hence philosophy is quite different from logic.
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
Logical consequence is verification by a possible world within a truth-set [Fine,K]
     Full Idea: Under the possible worlds semantics for logical consequence, each sentence of a language is associated with a truth-set of possible worlds in which it is true, and then something is a consequence if one of these worlds verifies it.
     From: Kit Fine (Guide to Ground [2012], 1.10)
     A reaction: [compressed, and translated into English; see Fine for more symbolic version; I'm more at home in English]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
Excluded Middle, and classical logic, may fail for vague predicates [Fine,K]
     Full Idea: Maybe classical logic fails for vagueness in Excluded Middle. If 'H bald ∨ ¬(H bald)' is true, then one disjunct is true. But if the second is true the first is false, and the sentence is either true or false, contrary to the borderline assumption.
     From: Kit Fine (Vagueness, Truth and Logic [1975], 4)
     A reaction: Fine goes on to argue against the implication that we need a special logic for vague predicates.
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Is it the sentence-token or the sentence-type that has a logical form? [Fine,K]
     Full Idea: Do we attribute a logical form to a sentence token because it is a token of a type with that form, or do we attribute a logical form to a sentence type because it is a type of a token with that form?
     From: Kit Fine (Quine on Quantifying In [1990], p.110)
     A reaction: Since I believe in propositions (as the unambiguous thought that lies behind a sentence), I take it that logical form concerns propositions, though strict logicians don't like this, for fear that logic spills into psychology.
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
Logical concepts rest on certain inferences, not on facts about implications [Fine,K]
     Full Idea: The nature of the logical concepts is given, not by certain logical truths, but by certain logical inferences. What properly belongs to disjunction is the inference from p to (p or q), rather than the fact that p implies (p or q).
     From: Kit Fine (Senses of Essence [1995], §3)
     A reaction: Does this mean that Fine is wickedly starting with the psychology, rather than with the pure truth of the connection? Frege is shuddering. This view seems to imply that the truth table for 'or' is secondary.
5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic
The usual Tarskian interpretation of variables is to specify their range of values [Fine,K]
     Full Idea: The usual Tarskian way of indicating how a variable is to be interpreted is to simply specify its range of values.
     From: Kit Fine (Semantic Relationism [2007], 1.B)
Variables can be viewed as special terms - functions taking assignments into individuals [Fine,K]
     Full Idea: The alternative Tarskian way of indicating how a variable is to be interpreted is that a variable x will be a special case of the semantic value of the term; it will be a function which takes each assignment into the individual which it assigns to x.
     From: Kit Fine (Semantic Relationism [2007], 1.B)
It seemed that Frege gave the syntax for variables, and Tarski the semantics, and that was that [Fine,K]
     Full Idea: Once Frege had provided a clear syntactic account of variables and once Tarski had supplemented this with a rigorous semantic account, it would appear that there was nothing more of significance to be said.
     From: Kit Fine (Semantic Relationism [2007], 1)
     A reaction: He later remarks that there are now three semantic accounts: the Tarskian, the instantial, and the algebraic [see xref ideas]. He offers a fourth account in his Semantic Relationism. This grows from his puzzles about variables.
In separate expressions variables seem identical in role, but in the same expression they aren't [Fine,K]
     Full Idea: When we consider the semantic role of 'x' and 'y' in two distinct expressions x>0 and y>0, their semantic roles seems the same. But in the same expression, such as x>y, their roles seem to be different.
     From: Kit Fine (Semantic Relationism [2007], 1.A)
     A reaction: [compressed] This new puzzle about variables leads Fine to say that the semantics of variables, and other expressions, is not intrinsic to them, but depends on their external relations. Variables denote any term - unless another variable got there first.
The 'algebraic' account of variables reduces quantification to the algebra of its component parts [Fine,K]
     Full Idea: In the 'algebraic' approach to variables, we move from a quantified sentence to the term specifying a property (the λ-term), and then reducing to the algebraic operations for atomic formulas.
     From: Kit Fine (Semantic Relationism [2007], 1.C)
     A reaction: [Bealer is a source for this view] Fine describes it as an 'algebra of operations'. I presume this is a thoroughly formalist approach to the matter, which doesn't seem to get to the heart of the semantic question.
'Instantial' accounts of variables say we grasp arbitrary instances from their use in quantification [Fine,K]
     Full Idea: According to the 'instantial' approach to variables, a closed quantified sentence is to be understood on the basis of one of its instances; from an understanding of an instance we understand satisfaction by an arbitrary individual.
     From: Kit Fine (Semantic Relationism [2007], 1.D)
     A reaction: Fine comments that this is intuitively plausible, but not very precise, because it depends on 'abstraction' of the individual from the expression.
I think of variables as objects rather than as signs [Fine,K]
     Full Idea: It is natural nowadays to think of variables as a certain kind of sign, but I wish to think of them as a certain kind of object.
     From: Kit Fine (Cantorian Abstraction: Recon. and Defence [1998], §2)
     A reaction: Fine has a theory based on 'arbitrary objects', which is a rather charming idea. The cell of a spreadsheet is a kind of object, I suppose. A variable might be analogous to a point in space, where objects can locate themselves.
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
We can use mereology to simulate quantification over relations [Lewis]
     Full Idea: We can simulate quantification over relations using megethology. Roughly, a quantifier over relations is a plural quantifier over things that encode ordered pairs by mereological means.
     From: David Lewis (Mathematics is Megethology [1993], p.18)
     A reaction: [He credits this idea to Burgess and Haven] The point is to avoid second-order logic, which quantifies over relations as ordered n-tuple sets.
5. Theory of Logic / E. Structures of Logic / 8. Theories in Logic
Theories in logic are sentences closed under consequence, but in truth discussions theories have axioms [Fine,K]
     Full Idea: It is customary in logic to take a theory to be a set of sentences closed under logical consequence, whereas it is common in discussions of theories of truth to take a theory to be an axiomatized theory.
     From: Kit Fine (Semantic Necessity [2010], n8)
5. Theory of Logic / F. Referring in Logic / 1. Naming / b. Names as descriptive
Cicero/Cicero and Cicero/Tully may differ in relationship, despite being semantically the same [Fine,K]
     Full Idea: There may be a semantic relationship between 'Cicero' and 'Cicero' that does not hold between 'Cicero' and 'Tully', despite the lack of an intrinsic semantic difference between the names themselves.
     From: Kit Fine (Semantic Relationism [2007], 2.E)
     A reaction: This is the key idea of Fine's book, and a most original and promising approach to a rather intractable problem in reference. He goes on to distinguish names which are 'strictly' coreferential (the first pair) from those that are 'accidentally' so.
5. Theory of Logic / F. Referring in Logic / 3. Property (λ-) Abstraction
The property of Property Abstraction says any suitable condition must imply a property [Fine,K]
     Full Idea: According to the principle of Property Abstraction, there is, for any suitable condition, a property that is possessed by an object just in case it conforms to the condition. This is usually taken to be a second-order logical truth.
     From: Kit Fine (Senses of Essence [1995], §4)
     A reaction: Fine objects that it is implied that if Socrates is essentially a man, then he essentially has the property of being a man. Like Fine, I think this conclusion is distasteful. A classification is not a property, at least the way most people use 'property'.
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
We can quantify over fictions by quantifying for real over their names [Lewis]
     Full Idea: Substitutionalists simulate quantification over fictional characters by quantifying for real over fictional names.
     From: David Lewis (Noneism or Allism? [1990], p.159)
     A reaction: I would say that a fiction is a file of conceptual information, identified by a label. The label brings baggage with it, and there is no existence in the label.
Substitutional quantification is referential quantification over expressions [Fine,K]
     Full Idea: Substitutional quantification may be regarded as referential quantification over expressions.
     From: Kit Fine (Quine on Quantifying In [1990], p.124)
     A reaction: This is an illuminating gloss. Does such quantification involve some ontological commitment to expressions? I feel an infinite regress looming.
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
If you ask what F the second-order quantifier quantifies over, you treat it as first-order [Fine,K]
     Full Idea: We are tempted to ask of second-order quantifiers 'what are you quantifying over?', or 'when you say "for some F" then what is the F?', but these questions already presuppose that the quantifiers are first-order.
     From: Kit Fine (Replies on 'Limits of Abstraction' [2005])
5. Theory of Logic / G. Quantification / 6. Plural Quantification
Quantification sometimes commits to 'sets', but sometimes just to pluralities (or 'classes') [Lewis]
     Full Idea: I consider some apparent quantification over sets or classes of whatnots to carry genuine ontological commitment to 'sets' of them, but sometimes it is innocent plural quantification committed only to whatnots, for which I use 'class'.
     From: David Lewis (On the Plurality of Worlds [1986], 1.5 n37)
     A reaction: How do you tell whether you are committed to a set or not? Can I claim an innocent plurality each time, while you accuse me of a guilty set? Can I firmly commit to a set, to be told that I can never manage more than a plurality?
Plural quantification lacks a complete axiom system [Lewis]
     Full Idea: There is an irremediable lack of a complete axiom system for plural quantification.
     From: David Lewis (Parts of Classes [1991], 4.7)
I like plural quantification, but am not convinced of its connection with second-order logic [Lewis]
     Full Idea: I agree fully with Boolos on substantive questions about plural quantification, though I would make less than he does of the connection with second-order logic.
     From: David Lewis (Parts of Classes [1991], 3.2 n2)
     A reaction: Deep matters, but my inclination is to agree with Lewis, as I have never been able to see why talk of plural quantification led straight on to second-order logic. A plural is just some objects, not some higher-order entity.
5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification
We could quantify over impossible objects - as bundles of properties [Lewis]
     Full Idea: We can quantify over Meinongian objects by quantifying for real over property bundles (such as the bundle of roundness and squareness).
     From: David Lewis (Noneism or Allism? [1990], p.159)
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
Assigning an entity to each predicate in semantics is largely a technical convenience [Fine,K]
     Full Idea: In doing semantics we normally assign some appropriate entity to each predicate, but this is largely for technical convenience.
     From: Kit Fine (Replies on 'Limits of Abstraction' [2005], 2)
Classical semantics has referents for names, extensions for predicates, and T or F for sentences [Fine,K]
     Full Idea: A precise language is often assigned a classical semantics, in which the semantic value of a name is its referent, the semantic value of a predicate is its extension (the objects of which it is true), and the value of a sentence is True or False.
     From: Kit Fine (Vagueness: a global approach [2020], 1)
     A reaction: Helpful to have this clear statement of how predicates are treated. This extensionalism in logic causes trouble when it creeps into philosophy, and people say that 'red' just means all the red things. No it doesn't.
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
A logical truth is true in virtue of the nature of the logical concepts [Fine,K]
     Full Idea: One wants to define a logical truth as one that is true in virtue of the nature of the logical concepts.
     From: Kit Fine (Senses of Essence [1995], §3)
     A reaction: This is part of Fine's project to give a revised account of essence, which includes the essence of concepts as well as the essence of objects. Everyone should pay close attention to this project.
Logic holding between indefinite sentences is the core of all language [Fine,K]
     Full Idea: If language is like a tree, then penumbral connection (logic holding among indefinite sentences) is the seed from which the tree grows, for it provides an initial repository of truths that are to be retained throughout all growth.
     From: Kit Fine (Vagueness, Truth and Logic [1975], 2)
     A reaction: A nice incidental insight arising from his investigation of vagueness. People accept one another's reasons even when they are confused, or hopeless at expressing themselves. Nice.
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
A consistent theory just needs one model; isomorphic versions will do too, and large domains provide those [Lewis]
     Full Idea: A consistent theory is, by definition, one satisfied by some model; an isomorphic image of a model satisfies the same theories as the original model; to provide the making of an isomorphic image of any given model, a domain need only be large enough.
     From: David Lewis (Putnam's Paradox [1984], 'Why Model')
     A reaction: This is laying out the ground for Putnam's model theory argument in favour of anti-realism. If you are chasing the one true model of reality, then formal model theory doesn't seem to offer much encouragement.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
Dedekind cuts lead to the bizarre idea that there are many different number 1's [Fine,K]
     Full Idea: Because of Dedekind's definition of reals by cuts, there is a bizarre modern doctrine that there are many 1's - the natural number 1, the rational number 1, the real number 1, and even the complex number 1.
     From: Kit Fine (Replies on 'Limits of Abstraction' [2005], 2)
     A reaction: See Idea 10572.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
Why should a Dedekind cut correspond to a number? [Fine,K]
     Full Idea: By what right can Dedekind suppose that there is a number corresponding to any pair of irrationals that constitute an irrational cut?
     From: Kit Fine (Replies on 'Limits of Abstraction' [2005], 2)
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / l. Zero
Unless we know whether 0 is identical with the null set, we create confusions [Fine,K]
     Full Idea: What is the union of the singleton {0}, of zero, and the singleton {φ}, of the null set? Is it the one-element set {0}, or the two-element set {0, φ}? Unless the question of identity between 0 and φ is resolved, we cannot say.
     From: Kit Fine (Replies on 'Limits of Abstraction' [2005], 2)
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
Mathematics is generalisations about singleton functions [Lewis]
     Full Idea: We can take the theory of singleton functions, and hence set theory, and hence mathematics, to consist of generalisations about all singleton functions.
     From: David Lewis (Mathematics is Megethology [1993], p.03)
     A reaction: At first glance this sounds like a fancy version of the somewhat discredited Greek idea that mathematics is built on the concept of a 'unit'.
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
The existence of numbers is not a matter of identities, but of constituents of the world [Fine,K]
     Full Idea: On saying that a particular number exists, we are not saying that there is something identical to it, but saying something about its status as a genuine constituent of the world.
     From: Kit Fine (The Question of Ontology [2009], p.168)
     A reaction: This is aimed at Frege's criterion of identity, which is to be an element in an identity relation, such as x = y. Fine suggests that this only gives a 'trivial' notion of existence, when he is interested in a 'thick' sense of 'exists'.
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle
If Hume's Principle can define numbers, we needn't worry about its truth [Fine,K]
     Full Idea: Neo-Fregeans have thought that Hume's Principle, and the like, might be definitive of number and therefore not subject to the usual epistemological worries over its truth.
     From: Kit Fine (Precis of 'Limits of Abstraction' [2005], p.310)
     A reaction: This seems to be the underlying dream of logicism - that arithmetic is actually brought into existence by definitions, rather than by truths derived from elsewhere. But we must be able to count physical objects, as well as just counting numbers.
Hume's Principle is either adequate for number but fails to define properly, or vice versa [Fine,K]
     Full Idea: The fundamental difficulty facing the neo-Fregean is to either adopt the predicative reading of Hume's Principle, defining numbers, but inadequate, or the impredicative reading, which is adequate, but not really a definition.
     From: Kit Fine (Precis of 'Limits of Abstraction' [2005], p.312)
     A reaction: I'm not sure I understand this, but the general drift is the difficulty of building a system which has been brought into existence just by definition.
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / f. Zermelo numbers
Zermelo's model of arithmetic is distinctive because it rests on a primitive of set theory [Lewis]
     Full Idea: What sets Zermelo's modelling of arithmetic apart from von Neumann's and all the rest is that he identifies the primitive of arithmetic with an appropriately primitive notion of set theory.
     From: David Lewis (Parts of Classes [1991], 4.6)
     A reaction: Zermelo's model is just endlessly nested empty sets, which is a very simple structure. I gather that connoisseurs seem to prefer von Neumann's model (where each number contains its predecessor number).
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Giving up classes means giving up successful mathematics because of dubious philosophy [Lewis]
     Full Idea: Renouncing classes means rejecting mathematics. That will not do. Mathematics is an established, going concern. Philosophy is as shaky as can be.
     From: David Lewis (Parts of Classes [1991], 2.8)
     A reaction: This culminates in his famous 'Who's going to tell the mathematicians? Not me!'. He has just given four examples of mathematics that seems to entirely depend on classes. This idea sounds like G.E. Moore's common sense against scepticism.
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
Set-theoretic imperialists think sets can represent every mathematical object [Fine,K]
     Full Idea: Set-theoretic imperialists think that it must be possible to represent every mathematical object as a set.
     From: Kit Fine (Replies on 'Limits of Abstraction' [2005], 1)
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
To be a structuralist, you quantify over relations [Lewis]
     Full Idea: To be a structuralist, you quantify over relations.
     From: David Lewis (Parts of Classes [1991], 2.6)
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
We don't need 'abstract structures' to have structural truths about successor functions [Lewis]
     Full Idea: We needn't believe in 'abstract structures' to have general structural truths about all successor functions.
     From: David Lewis (Mathematics is Megethology [1993], p.16)
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
It is plausible that x^2 = -1 had no solutions before complex numbers were 'introduced' [Fine,K]
     Full Idea: It is not implausible that before the 'introduction' of complex numbers, it would have been incorrect for mathematicians to claim that there was a solution to the equation 'x^2 = -1' under a completely unrestricted understanding of 'there are'.
     From: Kit Fine (The Question of Ontology [2009])
     A reaction: I have adopted this as the crucial test question for anyone's attitude to platonism in mathematics. I take it as obvious that complex numbers were simply invented so that such equations could be dealt with. They weren't 'discovered'!
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
The indispensability argument shows that nature is non-numerical, not the denial of numbers [Fine,K]
     Full Idea: Arguments such as the dispensability argument are attempting to show something about the essentially non-numerical character of physical reality, rather than something about the nature or non-existence of the numbers themselves.
     From: Kit Fine (The Question of Ontology [2009], p.160)
     A reaction: This is aimed at Hartry Field. If Quine was right, and we only believe in numbers because of our science, and then Field shows our science doesn't need it, then Fine would be wrong. Quine must be wrong, as well as Field.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Logicists say mathematics can be derived from definitions, and can be known that way [Fine,K]
     Full Idea: Logicists traditionally claim that the theorems of mathematics can be derived by logical means from the relevant definitions of the terms, and that these theorems are epistemically innocent (knowable without Kantian intuition or empirical confirmation).
     From: Kit Fine (Replies on 'Limits of Abstraction' [2005], 2)
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
Proceduralism offers a version of logicism with no axioms, or objects, or ontological commitment [Fine,K]
     Full Idea: My Proceduralism offers axiom-free foundations for mathematics. Axioms give way to the stipulation of procedures. We obtain a form of logicism, but with a procedural twist, and with a logic which is ontologically neutral, and no assumption of objects.
     From: Kit Fine (Our Knowledge of Mathematical Objects [2005], 1)
     A reaction: [See Ideas 9222 and 9223 for his Proceduralism] Sounds like philosophical heaven. We get to take charge of mathematics, without the embarrassment of declaring ourselves to be platonists. Someone, not me, should evaluate this.
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
The objects and truths of mathematics are imperative procedures for their construction [Fine,K]
     Full Idea: I call my new approach to mathematics 'proceduralism'. It agrees with Hilbert and Poincaré that the objects and truths are postulations, but takes them to be imperatival rather than indicative in form; not propositions, but procedures for construction.
     From: Kit Fine (Our Knowledge of Mathematical Objects [2005], Intro)
     A reaction: I'm not sure how an object or a truth can be a procedure, any more than a house can be a procedure. If a procedure doesn't have a product then it is an idle way to pass the time. The view seems to be related to fictionalism.
My Proceduralism has one simple rule, and four complex rules [Fine,K]
     Full Idea: My Proceduralism has one simple rule (introduce an object), and four complex rules: Composition (combining two procedures), Conditionality (if A, do B), Universality (do a procedure for every x), and Iteration (rule to keep doing B).
     From: Kit Fine (Our Knowledge of Mathematical Objects [2005], 1)
     A reaction: It sounds like a highly artificial and private game which Fine has invented, but he claims that this is the sort of thing that practising mathematicians have always done.
7. Existence / A. Nature of Existence / 1. Nature of Existence
'Allists' embrace the existence of all controversial entities; 'noneists' reject all but the obvious ones [Lewis]
     Full Idea: An expansive friend of the controversial entities who says they all exist may be called an 'allist'; a tough desert-dweller who says that none of them exist may be called a 'noneist'.
     From: David Lewis (Noneism or Allism? [1990], p.152)
     A reaction: Lewis gives examples of the obvious and the controversial entities. Lewis implies that he himself is in between. The word 'desert' is a reference to Quine.
'Exists' is a predicate, not a quantifier; 'electrons exist' is like 'electrons spin' [Fine,K]
     Full Idea: The most natural reading of 'electrons exist' is that there are electrons while, on our view, the proper reading should be modeled on 'electrons spin', meaning every electron spins. 'Exists' should be treated as a predicate rather than a quantifier.
     From: Kit Fine (The Question of Ontology [2009], p.167)
     A reaction: So existence IS a predicate (message to Kant). Dunno. Electrons have to exist in order to spin, but they don't have to exist in order to exist. But they don't have to exist to be 'dead'.
7. Existence / A. Nature of Existence / 2. Types of Existence
We can't accept a use of 'existence' that says only some of the things there are actually exist [Lewis]
     Full Idea: If 'existence' is understood so that it can be a substantive thesis that only some of the things there are exist, we will have none of it.
     From: David Lewis (Noneism or Allism? [1990], p.163)
     A reaction: Lewis is a strong advocate, following Quine, of the univocal sense of the word 'exist', and I agree with them.
Lewis's distinction of 'existing' from 'being actual' is Meinong's between 'existing' and 'subsisting' [Lycan on Lewis]
     Full Idea: I suggest that Lewis's view in fact is just Meinong's view. ...Meinong distinguishes between 'existing' and merely 'subsisting', Lewis between 'being actual' and merely 'existing'.
     From: comment on David Lewis (Possible Worlds [1973]) by William Lycan - The Trouble with Possible Worlds 06
     A reaction: Lewis attempts to make actuality purely 'indexical' in character, like distinguishing the world 'here' from the world 'elsewhere', but Lycan seems right that he is committed to more than that.
There are only two kinds: sets, and possibilia (actual and possible particulars) [Lewis, by Oliver]
     Full Idea: Lewis's multi-purpose ontology seems to have only two kinds: sets and possibilia (actual and possible particulars).
     From: report of David Lewis (On the Plurality of Worlds [1986]) by Alex Oliver - The Metaphysics of Properties 3
     A reaction: This is awfully like the ontology of his teacher Quine, but with the wicked addition of modal properties. It is no wonder that Lewis was a bit vague about the concrete boundary, as both of his kinds seem to be abstract. His Achilles' Heel?
There are levels of existence, as well as reality; objects exist at the lowest level in which they can function [Fine,K]
     Full Idea: Just as we recognise different levels of reality, so we should recognise different levels of existence. Each object will exist at the lowest level at which it can enjoy its characteristic form of life.
     From: Kit Fine (Necessity and Non-Existence [2005], 10)
     A reaction: I'm struggling with this claim, despite my sympathy for much of Fine's picture. I'm not sure that the so-called 'levels' of reality have different degrees of reality.
Existence doesn't come in degrees; once asserted, it can't then be qualified [Lewis]
     Full Idea: Existence cannot be a matter of degree. If you say there is something that exists to a diminished degree, once you've said 'there is' your game is up.
     From: David Lewis (Parts of Classes [1991], 3.5)
     A reaction: You might have thought that this was so obvious as to be not worth saying, but as far as I can see it is a minority view in contemporary philosophy. It was Quine's view, and it is mine.
7. Existence / A. Nature of Existence / 3. Being / a. Nature of Being
Every proposition is entirely about being [Lewis]
     Full Idea: Every proposition, no matter what subject matter it may have, is entirely about being.
     From: David Lewis (Things qua Truthmakers [2003], p.26), quoted by Trenton Merricks - Truth and Ontology 4.VI
     A reaction: Since Lewis's propositions are sets of possible worlds, I presume this claim is made because proposition relates to all of the possible worlds, which therefore presumably embody Being.
7. Existence / A. Nature of Existence / 3. Being / b. Being and existence
An object's 'being' isn't existence; there's more to an object than existence, and its nature doesn't include existence [Fine,K]
     Full Idea: It seems wrong to identify the 'being' of an object, its being what it is, with its existence. In one respect existence is too weak; for there is more to an object than mere existence; also too strong, for an object's nature need not include existence.
     From: Kit Fine (Ontological Dependence [1995], I)
     A reaction: The word 'being' has been shockingly woolly, from Parmenides to Heidegger, but if you identify it with a thing's 'nature' that strikes me as much clearer (even if a little misty).
7. Existence / A. Nature of Existence / 4. Abstract Existence
Abstracts cannot be identified with sets [Fine,K]
     Full Idea: It is impossible for a proponent of both sets and abstracts to identify the abstracts, in any reasonable manner, with the sets.
     From: Kit Fine (The Limits of Abstraction [2002], IV.1)
     A reaction: [This observation emerges from a proof Fine has just completed] Cf Idea 10137. The implication is that there is no compromise view available, and one must choose between abstraction or sets as one's account of numbers and groups of concepts.
Points in Euclidean space are abstract objects, but not introduced by abstraction [Fine,K]
     Full Idea: Points in abstract Euclidean space are abstract objects, and yet are not objects of abstraction, since they are not introduced through a principle of abstraction of the sort envisaged by Frege.
     From: Kit Fine (The Limits of Abstraction [2002], I.1)
     A reaction: The point seems to be that they are not abstracted 'from' anything, but are simpy posited as basic constituents. I suggest that points are idealisations (of smallness) rather than abstractions. They are idealised 'from' substances.
Postulationism says avoid abstract objects by giving procedures that produce truth [Fine,K]
     Full Idea: A procedural form of postulationism says that instead of stipulating that certain statements are true, one specifies certain procedures for extending the domain to one in which the statement will in fact be true, without invoking an abstract ontology.
     From: Kit Fine (The Limits of Abstraction [2002], II.5)
     A reaction: The whole of philosophy might go better if it was founded on procedures and processes, rather than on objects. The Hopi Indians were right.
Just as we introduced complex numbers, so we introduced sums and temporal parts [Fine,K]
     Full Idea: Just as one can extend the domain of discourse to include solutions to the equation 'x^2=-1' so one can extend the domain of discourse to include objects that satisfy the condition 'x is the sum of the G's' or 'x is a temporal part of the object b at t'.
     From: Kit Fine (The Question of Ontology [2009], p.164)
     A reaction: This thought lies behind Fine's 'Proceduralism'. I take it that our collection of abstracta consists entirely of items we have either deliberately or unthinkingly 'introduced' into our discourse when they seemed useful. They then submit to certain laws.
7. Existence / A. Nature of Existence / 6. Criterion for Existence
Real objects are those which figure in the facts that constitute reality [Fine,K]
     Full Idea: The real objects are the objects of reality, those that figure in the facts by which reality is constituted.
     From: Kit Fine (The Question of Ontology [2009], p.172)
     A reaction: And these need to be facts over and above the basic facts. Thus, does the 'equator' constitute reality, over and above the Earth being a rotating sphere? Does 'six' constitute reality, over and above all the possible groups of six objects?
Being real and being fundamental are separate; Thales's water might be real and divisible [Fine,K]
     Full Idea: Being the case in reality and being fundamental are not sufficient for one another. If one agrees with Thales that the world is composed of water, and with Aristotle that water is indefinitely divisible, then water would be real but not fundamental.
     From: Kit Fine (The Question of Ontology [2009], p.174)
     A reaction: Presumably the divisibility would make a reductionist account of water possible. The Atlantic Ocean is real, but water molecules would have a more prominent place in the ontology of any good metaphysician.
7. Existence / B. Change in Existence / 1. Nature of Change
You can't deny temporary intrinsic properties by saying the properties are relations (to times) [Lewis]
     Full Idea: To say that properties are really relations to times is to treat temporary intrinsics (such as my changing shape) as a matter of relations, but then 'intrinsic properties' would not deserve the name, and it is untenable if it denies temporary intrinsics.
     From: David Lewis (Rearrangement of Particles [1988], 1)
     A reaction: [I have compressed a paragraph; he refers to his 1986:204] If a property is meant to be a 'relation to a time', I am not sure what the relata are meant to be, and I agree with Lewis that this seems a long way from properties.
7. Existence / B. Change in Existence / 4. Events / a. Nature of events
The events that suit semantics may not be the events that suit causation [Lewis]
     Full Idea: There is no guarantee that events made for semantics are the same as events that are causes and effects.
     From: David Lewis (Events [1986], I)
     A reaction: This little cri de couer could be a motto for a huge amount of analytic philosophy, which (for some odd reason) thought that mathematics, logic, set theory and formal semantics were good tools for explaining nature.
Events are classes, and so there is a mereology of their parts [Lewis]
     Full Idea: If events are classes, as I propose, then they have a mereology in the way that all classes do: the parts of a class are its subclasses.
     From: David Lewis (Events [1986], V)
     A reaction: Lewis says events are properties, which he regards as classes. It is not clear that events are strictly mereological. Could one happening be two events? Is WWII a simple sum of its parts? [see p.260]
Some events involve no change; they must, because causal histories involve unchanges [Lewis]
     Full Idea: Not all events involve change. We cannot afford to count the unchanges as nonevents, for the unchanges may be needed to complete causal histories.
     From: David Lewis (Events [1986], VI)
     A reaction: You end up calling non-changes 'events' if you commit to a simplistic theory that all causal histories consist of events. Why not allow conditions as well as events? Lewis concedes that he may be abusing language.
Events have inbuilt essences, as necessary conditions for their occurrence [Lewis]
     Full Idea: Events have their essences built in, in the form of necessary conditions for their occurrence.
     From: David Lewis (Events [1986], III)
     A reaction: Revealing. He thinks the essence of an event is something which precedes the event. I take it as obvious that if an event has an essence, it will be some features of the event that occur in it and during it. They need to be intrinsic.
7. Existence / B. Change in Existence / 4. Events / c. Reduction of events
An event is a property of a unique space-time region [Lewis]
     Full Idea: I propose to identify an event with a property, or in other words with a class, a unique spatio-temporal region corresponding to where that event occurs.
     From: David Lewis (Events [1986], II)
     A reaction: [I've run together two separate bits, on p.244 and 245] Lewis cites Montague's similar view, that events are properties of times.
7. Existence / C. Structure of Existence / 1. Grounding / a. Nature of grounding
If you make 'grounding' fundamental, you have to mention some non-fundamental notions [Sider on Fine,K]
     Full Idea: My main objection to Fine's notion of grounding as fundamental is that it violates 'purity' - that fundamental truths should involve only fundamental notions.
     From: comment on Kit Fine (The Question of Realism [2001]) by Theodore Sider - Writing the Book of the World 08.2
     A reaction: [p.106 of Sider for 'purity'] The point here is that to define a grounding relation you have to mention the 'higher' levels of the relationship (as in a 'city' being grounded in physical stuff), which doesn't seem fundamental enough.
Something is grounded when it holds, and is explained, and necessitated by something else [Fine,K, by Sider]
     Full Idea: When p 'grounds' q then q holds in virtue of p's holding; q's holding is nothing beyond p's holding; the truth of p explains the truth of q in a particularly tight sense (explanation of q by p in this sense requires that p necessitates q).
     From: report of Kit Fine (The Question of Realism [2001], 15-16) by Theodore Sider - Writing the Book of the World 08.1
     A reaction: This proposal has become a hot topic in current metaphysics, as attempts are made to employ 'grounding' in various logical, epistemological and ontological contexts. I'm a fan - it is at the heart of metaphysics as structure of reality.
Formal grounding needs transitivity of grounding, no self-grounding, and the existence of both parties [Fine,K]
     Full Idea: The general formal principles of grounding are Transitivity (A«B, B«C/A«C: if A helps ground B and B helps C, then A helps C), Irreflexivity (A«A/absurd: A can't ground itself) and Factivity (A«B/A; A«/B: for grounding both A and B must be the case).
     From: Kit Fine (Some Puzzles of Ground [2010], 4)
2+2=4 is necessary if it is snowing, but not true in virtue of the fact that it is snowing [Fine,K]
     Full Idea: It is necessary that if it is snowing then 2+2=4, but the fact that 2+2=4 does not obtain in virtue of the fact that it is snowing.
     From: Kit Fine (Guide to Ground [2012], 1.01)
     A reaction: Critics dislike 'in virtue of' (as vacuous), but I can't see how you can disagree with this obvervation of Fine's. You can hardly eliminate the word 'because' from English, or say p is because of some object. We demand the right to keep asking 'why?'!
If you say one thing causes another, that leaves open that the 'other' has its own distinct reality [Fine,K]
     Full Idea: It will not do to say that the physical is causally determinative of the mental, since that leaves open the possibility that the mental has a distinct reality over and above that of the physical.
     From: Kit Fine (Guide to Ground [2012], 1.02)
     A reaction: The context is a defence of grounding, so that if we say the mind is 'grounded' in the brain, we are saying rather more than merely that it is caused by the brain. A ghost might be 'caused' by a bar of soap. Nice.
An immediate ground is the next lower level, which gives the concept of a hierarchy [Fine,K]
     Full Idea: It is the notion of 'immediate' ground that provides us with our sense of a ground-theoretic hierarchy. For any truth, we can take its immediate grounds to be at the next lower level.
     From: Kit Fine (Guide to Ground [2012], 1.05 'Mediate')
     A reaction: Are the levels in the reality, the structure or the descriptions? I vote for the structure. I'm defending the idea that 'essence' picks out the bottom of a descriptive level.
'Strict' ground moves down the explanations, but 'weak' ground can move sideways [Fine,K]
     Full Idea: We might think of strict ground as moving us down in the explanatory hierarchy. ...Weak ground, on the other hand, may also move us sideways in the explanatory hierarchy.
     From: Kit Fine (Guide to Ground [2012], 1.05 'Weak')
     A reaction: This seems to me rather illuminating. For example, is the covering law account of explanation a 'sideways' move in explanation. Are inductive generalities mere 'sideways' accounts. Both fail to dig deeper.
We learn grounding from what is grounded, not what does the grounding [Fine,K]
     Full Idea: It is the fact to be grounded that 'points' to its ground and not the grounds that point to what they ground.
     From: Kit Fine (Guide to Ground [2012], 1.11)
     A reaction: What does the grounding may ground all sorts of other things, but what is grounded only has one 'full' (as opposed to 'partial', in Fine's terminology) ground. He says this leads to a 'top-down' approach to the study of grounds.
7. Existence / C. Structure of Existence / 1. Grounding / b. Relata of grounding
Grounding relations are best expressed as relations between sentences [Fine,K]
     Full Idea: I recommend that a statement of ground be cast in the following 'canonical' form: Its being the case that S consists in nothing more than its being the case that T, U... (where S, T, U... are particular sentences).
     From: Kit Fine (The Question of Realism [2001], 5)
     A reaction: The point here is that grounding is to be undestood in terms of sentences (and 'its being the case that...'), rather than in terms of objects, properties or relations. Fine thus makes grounding a human activity, rather than a natural activity.
Ground is best understood as a sentence operator, rather than a relation between predicates [Fine,K]
     Full Idea: Ground is perhaps best regarded as an operation (signified by an operator on sentences) rather than as a relation (signified by a predicate)
     From: Kit Fine (Guide to Ground [2012], 1.02)
     A reaction: Someone in this book (Koslicki?) says this is to avoid metaphysical puzzles over properties. I don't like the idea, because it makes grounding about sentences when it should be about reality. Fine is so twentieth century. Audi rests ground on properties.
If grounding is a relation it must be between entities of the same type, preferably between facts [Fine,K]
     Full Idea: In so far as ground is regarded as a relation it should be between entities of the same type, and the entities should probably be taken as worldly entities, such as facts, rather than as representational entities, such as propositions.
     From: Kit Fine (Guide to Ground [2012], 1.02)
     A reaction: That's more like it (cf. Idea 17280). The consensus of this discussion seems to point to facts as the best relata, for all the vagueness of facts, and the big question of how fine-grained facts should be (and how dependent they are on descriptions).
7. Existence / C. Structure of Existence / 1. Grounding / c. Grounding and explanation
Only metaphysical grounding must be explained by essence [Fine,K]
     Full Idea: If the grounding relation is not metaphysical (such as normative or natural grounding), there is no need for there to be an explanation of its holding in terms of the essentialist nature of the items involved.
     From: Kit Fine (Guide to Ground [2012], 1.11)
     A reaction: He accepts that some things have partial grounds in different areas of reality.
Maybe bottom-up grounding shows constitution, and top-down grounding shows essence [Fine,K]
     Full Idea: It may be that the two forms of grounding have a different source; the one from the bottom up is required for the constitution of the thing to be intelligible; the one from the top down is required for the essence of the thing to be intelligible.
     From: Kit Fine (Aristotle on Matter [1992], 2)
     A reaction: [He cites Aristotle Met. 1019a8-10 in support] Close reading of Fine would be needed to elucidate this properly, but it is a suggestive line of thought about how we should approach grounding.
Philosophical explanation is largely by ground (just as cause is used in science) [Fine,K]
     Full Idea: For philosophers interested in explanation - of what accounts for what - it is largely through the notion of ontological ground that such questions are to be pursued. Ground, if you like, stands to philosophy as cause stands to science.
     From: Kit Fine (Guide to Ground [2012], 1.02)
     A reaction: Why does the ground have to be 'ontological'? It isn't the existence of the snow that makes me cold, but the fact that I am lying in it. Better to talk of 'factual' ground (or 'determinative' ground), and then causal grounds are a subset of those?
7. Existence / C. Structure of Existence / 1. Grounding / d. Grounding and reduction
We can only explain how a reduction is possible if we accept the concept of ground [Fine,K]
     Full Idea: It is only by embracing the concept of a ground as a metaphysical form of explanation in its own right that one can adequately explain how a reduction of the reality of one thing to another should be understood.
     From: Kit Fine (Guide to Ground [2012], 1.02)
     A reaction: I love that we are aiming to say 'how' a reduction should be understood, and not just 'that' it exists. I'm not sure about Fine's emphasis on explaining 'realities', when I think we are after more like structural relations or interconnected facts.
7. Existence / C. Structure of Existence / 2. Reduction
Supervenience is reduction without existence denials, ontological priorities, or translatability [Lewis]
     Full Idea: Supervenience is a stripped down form of reductionism, unencumbered by dubious denials of existence, claims of ontological priority, or claims of translatability.
     From: David Lewis (New work for a theory of universals [1983], 'Dup,Sup,Div')
     A reaction: Interesting. It implies that the honest reductionist (i.e. me) should begin by asserting supervience, and only at a second stage go on to deny a bit of existence, loudly affirm priorities, and offer translations. Honest toil.
The whole truth supervenes on the physical truth [Lewis]
     Full Idea: The whole truth supervenes on the physical truth.
     From: David Lewis (Lewis: reduction of mind (on himself) [1994], p.412)
     A reaction: This seems to me the central truth about brains, and we should not be lured into abandoning it. We should not, however, exclude the possibility that there is a non-physical reality.
Reduction might be producing a sentence which gets closer to the logical form [Fine,K]
     Full Idea: One line of reduction is logical analysis. To say one sentence reduces to another is to say that they express the same proposition (or fact), but the grammatical form of the second is closer to the logical form than the grammatical form of the first.
     From: Kit Fine (The Question of Realism [2001], 3)
     A reaction: Fine objects that S-and-T reduces to S and T, which is two propositions. He also objects that this approach misses the de re ingredient in reduction (that it is about the things themselves, not the sentences). It also overemphasises logical form.
Reduction might be semantic, where a reduced sentence is understood through its reduction [Fine,K]
     Full Idea: A second line of reduction is semantic, and holds in virtue of the meaning of the sentences. It should then be possible to acquire an understanding of the reduced sentence on the basis of understanding the sentences to which it reduces.
     From: Kit Fine (The Question of Realism [2001], 3)
     A reaction: Fine says this avoids the first objection to the grammatical approach (see Reaction to Idea 15050), but still can't handle the de re aspect of reduction. Fine also doubts whether this understanding qualifies as 'reduction'.
Reduction is modal, if the reductions necessarily entail the truth of the target sentence [Fine,K]
     Full Idea: The third, more recent, approach to reduction is a modal matter. A class of propositions will reduce to - or supervene upon - another if, necessarily, any truth from the one is entailed by truths from the other.
     From: Kit Fine (The Question of Realism [2001], 3)
     A reaction: [He cites Armstrong, Chalmers and Jackson for this approach] Fine notes that some people reject supervenience as a sort of reduction. He objects that this reduction doesn't necessarily lead to something more basic.
The notion of reduction (unlike that of 'ground') implies the unreality of what is reduced [Fine,K]
     Full Idea: The notion of ground should be distinguished from the strict notion of reduction. A statement of reduction implies the unreality of what is reduced, but a statement of ground does not.
     From: Kit Fine (The Question of Realism [2001], 5)
     A reaction: That seems like a bit of a caricature of reduction. If you see a grey cloud and it reduces to a swarm of mosquitoes, you do not say that the cloud was 'unreal'. Fine is setting up a stall for 'ground' in the metaphysical market. We all seek structure.
7. Existence / C. Structure of Existence / 4. Ontological Dependence
An object is dependent if its essence prevents it from existing without some other object [Fine,K]
     Full Idea: One object depends upon another (in one sense of the term) if its essence prevents it from existing without the other object.
     From: Kit Fine (Essence and Modality [1994], p. 2)
     A reaction: I take the interest of this to be that essences are usually thought to be intrinsic, but this seems to involve the object in necessary external relations.
A natural modal account of dependence says x depends on y if y must exist when x does [Fine,K]
     Full Idea: A natural account of dependence in terms of modality and existence is that one thing x will depend on another thing y just in case it is necessary that y exists if x exists (or in the symbolism of modal logic, □(Ex→Ey).
     From: Kit Fine (Ontological Dependence [1995], I)
     A reaction: He is going to criticise this view (which he traces back to Aristotle and Husserl). It immediately seems possible that there might be counterexamples. x might depend on y, but not necessarily depend on y. Necessities may not produce dependence.
Dependency is the real counterpart of one term defining another [Fine,K]
     Full Idea: The notion of one object depending upon another is the real counterpart to the nominal notion of one term being definable in terms of another.
     From: Kit Fine (Ontological Dependence [1995], II)
     A reaction: This begins to fill out the Aristotelian picture very nicely, since definitions are right at the centre of the nature of things (though a much more transitional part of the story than Fine seems to think).
An object depends on another if the second cannot be eliminated from the first's definition [Fine,K]
     Full Idea: The objects upon which a given object depends, according to the present account, are those which must figure in any of the logically equivalent definitions of the object. They will, in a sense, be ineliminable.
     From: Kit Fine (Ontological Dependence [1995], II)
     A reaction: This is Fine's main proposal for the dependency relationship, with a context of Aristotelian essences understood as definitions. Sounds pretty good to me.
There is 'weak' dependence in one definition, and 'strong' dependence in all the definitions [Fine,K]
     Full Idea: An object 'weakly' depends upon another if it is ineliminably involved in one of its definitions; and it 'strongly' depends upon the other if it is ineliminably involved in all of its definitions.
     From: Kit Fine (Ontological Dependence [1995], III)
     A reaction: It is important to remember that a definition can be very long, and not just what might go into a dictionary.
7. Existence / C. Structure of Existence / 5. Supervenience / a. Nature of supervenience
Supervenience concerns whether things could differ, so it is a modal notion [Lewis]
     Full Idea: The idea of supervenience is when there could be no difference of one sort without difference of another sort. ..Clearly this 'could' indicates modality, and without modality we have nothing of interest.
     From: David Lewis (On the Plurality of Worlds [1986], 1.2)
     A reaction: This might explain why philosophers are going to be more at home with the concept than neuroscientists would be.
7. Existence / C. Structure of Existence / 5. Supervenience / b. Types of supervenience
Where pixels make up a picture, supervenience is reduction [Lewis]
     Full Idea: In the case of millions of pixels making up a picture on a computer screen, the supervenience is reduction.
     From: David Lewis (Lewis: reduction of mind (on himself) [1994], p.414)
     A reaction: Since 'supervenience' seems a suspect relationship about which no one is clear, this is a point very much worth making.
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
A supervenience thesis is a denial of independent variation [Lewis]
     Full Idea: A supervenience thesis is a denial of independent variation.
     From: David Lewis (New work for a theory of universals [1983], 'Dup,Sup,Div')
     A reaction: Not everyone agrees on this. This says if either A or B change, the change is reflected in the other one. But the other view is of one-way dependence. A only changes if B changes, but B can also make changes that don't affect A.
7. Existence / C. Structure of Existence / 5. Supervenience / d. Humean supervenience
Humean supervenience says the world is just a vast mosaic of qualities in space-time [Lewis]
     Full Idea: Humean supervenience says the world is a vast mosaic of local matters of particular fact. We have a geometry of external relations of spatio-temporal distance between points, and local qualities at points. …In short: we have an arrangement of qualities.
     From: David Lewis (Introduction to Philosophical Papers II [1986], p.ix-x)
     A reaction: [compressed] This is the key fundamental tenet of David Lewis's philosophy. He names it after Hume because it contains no necessary connections. It is 'supervenient' because all worldly truths reduce to and depend on the mosaic. His thesis is contingent.
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
Possible objects are abstract; actual concrete objects are possible; so abstract/concrete are compatible [Fine,K]
     Full Idea: If it is in the nature of a possible object to be abstract, this is presumably a property it has in any possible circumstance in which it is actual. If it is actual it is also concrete. So the property of being abstract and concrete are not incompatible.
     From: Kit Fine (Intro to 'Modality and Tense' [2005], p.14)
     A reaction: A rather startling and powerful idea. What of the definition of an abstract object as one which is not in space-time, and lacks causal powers? Could it be that abstraction is a projection of our minds, onto concepts or objects?
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / b. Levels of abstraction
A generative conception of abstracts proposes stages, based on concepts of previous objects [Fine,K]
     Full Idea: It is natural to have a generative conception of abstracts (like the iterative conception of sets). The abstracts are formed at stages, with the abstracts formed at any given stage being the abstracts of those concepts of objects formed at prior stages.
     From: Kit Fine (Replies on 'Limits of Abstraction' [2005], 1)
     A reaction: See 10567 for Fine's later modification. This may not guarantee 'levels', but it implies some sort of conceptual priority between abstract entities.
7. Existence / C. Structure of Existence / 8. Stuff / a. Pure stuff
We have no idea of a third sort of thing, that isn't an individual, a class, or their mixture [Lewis]
     Full Idea: As yet we have no idea of any third sort of thing that is neither individual nor class nor mixture of the two.
     From: David Lewis (Parts of Classes [1991], 1.2)
     A reaction: You can see that Lewis was a pupil of Quine. I quote this to show how little impression 'stuff' makes on the modern radar. His defence is that stuff may not be a 'thing', but then he seems to think that 'things' exhaust reality (top p.8 and 9).
Atomless gunk is an individual whose parts all have further proper parts [Lewis]
     Full Idea: A blob can represent atomless gunk: an individual whose parts all have further proper parts.
     From: David Lewis (Parts of Classes [1991], 1.8)
     A reaction: This is not the same as 'stuff', since gunk is a precise fusion of all those parts, whereas there is no such precision about stuff. Stuff is neutral as to whether it has atoms, or is endlessly divisible. My love of stuff grows. Laycock is a hero.
7. Existence / D. Theories of Reality / 1. Ontologies
For ontology we need, not internal or external views, but a view from outside reality [Fine,K]
     Full Idea: We need to straddle both of Carnap's internal and external views. It is only by standing outside of reality that we are able to occupy a standpoint from which the constitution of reality can be adequately described.
     From: Kit Fine (The Question of Ontology [2009], p.174)
     A reaction: See Idea 4840! I thoroughly approve of this idea, which almost amounts to a Credo for the modern metaphysician. Since we can think outside our room, or our country, or our era, or our solar system, I think we can do what Fine is demanding.
7. Existence / D. Theories of Reality / 3. Reality
Reality is a primitive metaphysical concept, which cannot be understood in other terms [Fine,K]
     Full Idea: I conclude that there is a primitive metaphysical concept of reality, one that cannot be understood in fundamentally different terms.
     From: Kit Fine (The Question of Realism [2001], Intro)
     A reaction: Fine offers arguments to support his claim, but it seems hard to disagree with. The only alternative I can see is to understand reality in terms of our experiences, and this is the road to metaphysical hell.
What is real can only be settled in terms of 'ground' [Fine,K]
     Full Idea: Questions of what is real are to be settled upon the basis of considerations of ground.
     From: Kit Fine (The Question of Realism [2001], Intro)
     A reaction: This looks like being one of Fine's most important ideas, which is shifting the whole basis of contemporary metaphysics. Only Parmenides and Heidegger thought Being was the target. Aristotle aims at identity. What grounds what is a third alternative.
In metaphysics, reality is regarded as either 'factual', or as 'fundamental' [Fine,K]
     Full Idea: The first main approach says metaphysical reality is to be identified with what is 'objective' or 'factual'. ...According to the second conception, metaphysical reality is to be identified with what is 'irreducible' or 'fundamental'.
     From: Kit Fine (The Question of Realism [2001], 1)
     A reaction: Fine is defending the 'fundamental' approach, via the 'grounding' relation. The whole structure, though, seems to be reality. In particular, a complete story must include the relations which facilitate more than mere fundamentals.
Bottom level facts are subject to time and world, middle to world but not time, and top to neither [Fine,K]
     Full Idea: At the bottom are tensed or temporal facts, subject to the vicissitudes of time and hence of the world. Then come the timeless though worldly facts, subject to the world but not to time. Top are transcendental facts, subject to neither world nor time.
     From: Kit Fine (Necessity and Non-Existence [2005], 08)
     A reaction: For all of Fine's awesome grasp of logic and semantics, when he divides reality up as boldly as this I start to side a bit with the sceptics about modern metaphysics (like Ladyman and Ross). I daresay Fine acknowledges that it is 'speculative'.
A non-standard realism, with no privileged standpoint, might challenge its absoluteness or coherence [Fine,K]
     Full Idea: By challenging the assumption that reality is 'absolute' (not relative to a standpoint), or that reality is 'coherent' (it is of a piece, from one standpoint), one accepts worldly facts without a privilege standpoint. I call this 'non-standard' realism.
     From: Kit Fine (Intro to 'Modality and Tense' [2005], p.15)
     A reaction: Fine's essay 'Tense and Reality' explores his proposal. I'm not drawn to either of his challenges. I have always taken as articles of faith that there could be a God's Eye view of all of reality, and that everything coheres, independent of our view.
Why should what is explanatorily basic be therefore more real? [Fine,K]
     Full Idea: We may grant that some things are explanatorily more basic than others, but why should that make them more real?
     From: Kit Fine (The Question of Realism [2001], 8)
     A reaction: This is the question asked by the 'quietist'. Fine's answer is that our whole conception of Reality, with its intrinsic structure, is what lies at the basis, and this is primitive.
7. Existence / D. Theories of Reality / 4. Anti-realism
Anti-realists see the world as imaginary, or lacking joints, or beyond reference, or beyond truth [Lewis]
     Full Idea: Anti-realists say the only world is imaginary, or only has the parts or classes or relations we divide it into, or doubt that reference to the world is possible, or doubt that our interpretations can achieve truth.
     From: David Lewis (Putnam's Paradox [1984], 'Why Anti-R')
     A reaction: [compression of a paragraph on anti-realism] Lewis is a thoroughgoing realist. A nice example of the rhetorical device of ridiculing an opponent by suggesting that they don't even know what they themselves believe.
7. Existence / D. Theories of Reality / 6. Physicalism
Materialism is (roughly) that two worlds cannot differ without differing physically [Lewis]
     Full Idea: Final definition of 'Materialism': Among worlds where no natural properties alien to our world are instantiated, no two differ without differing physically; and two such worlds that are exactly alike physically are duplicates.
     From: David Lewis (New work for a theory of universals [1983], 'Min Mat')
     A reaction: This would presumably allow for an anomalous monist/property dualist view of mind, but not full dualism. But if there are no psychophysical laws, what stops the mental changing while the physical remains the same?
7. Existence / D. Theories of Reality / 7. Fictionalism
Abstractions may well be verbal fictions, in which we ignore some features of an object [Lewis]
     Full Idea: The inevitable hypothesis is that abstractions are verbal fictions. We say we are speaking about abstractions when we are speaking abstractly about the original thing. We are ignoring some features, not introducing a new thing lacking those features.
     From: David Lewis (On the Plurality of Worlds [1986], 1.7)
     A reaction: Thus Lewis ends up pretty close to Locke and the traditional view. This makes abstraction not a feat of platonic perception, in which magical non-material objects are spotted, but a feat of counterfactual imagination.
7. Existence / D. Theories of Reality / 8. Facts / a. Facts
Facts, such as redness and roundness of a ball, can be 'fused' into one fact [Fine,K]
     Full Idea: Given any facts, there will be a fusion of those facts. Given the facts that the ball is red and that it is round, there is a fused fact that it is 'red and round'.
     From: Kit Fine (Guide to Ground [2012], 1.10)
     A reaction: This is how we make 'units' for counting. Any type of thing which can be counted can be fused, such as the first five prime numbers, forming the 'first' group for some discussion. Any objects can be fused to make a unit - but is it thereby a 'unity'?
7. Existence / D. Theories of Reality / 8. Facts / b. Types of fact
Tensed and tenseless sentences state two sorts of fact, which belong to two different 'realms' of reality [Fine,K]
     Full Idea: A tensed fact is stated by a tensed sentence while a tenseless fact is stated by a tenseless sentence, and they belong to two 'realms' of reality. That Socrates drank hemlock is in the temporal realm, while 2+2=4 is presumably in the timeless realm.
     From: Kit Fine (Necessity and Non-Existence [2005], 07)
     A reaction: Put so strongly, I suddenly find sales resistance to his proposal. All my instincts favour one realm, and I take 2+2=4 to be a highly general truth about that realm. It may be a truth of any possible realm, which would distinguish it.
7. Existence / D. Theories of Reality / 9. States of Affairs
How do things combine to make states of affairs? Constituents can repeat, and fail to combine [Lewis]
     Full Idea: To me it is mysterious how a state of affairs is made out of its particular and universal constituents. Different states of affairs may have the very same constituents, and the existence of constituents by no means entails the existence of the states.
     From: David Lewis (Armstrong on combinatorial possibility [1992], 'What is there')
     A reaction: He is rejecting the structure of states of affairs as wholes made of parts. But then mereology was never going to explain the structure of the world.
7. Existence / D. Theories of Reality / 10. Vagueness / a. Problem of vagueness
Local indeterminacy concerns a single object, and global indeterminacy covers a range [Fine,K]
     Full Idea: Vagueness concerns 'local' indeterminacy, such as whether one man in the lineup is bald, and 'global' indeterminacy, applying to a range of cases, as when it is indeterminate how 'bald' applies to the lineup. But how do these relate?
     From: Kit Fine (Vagueness: a global approach [2020], 1)
     A reaction: This puts the focus either on objects or on predicates which are vague.
Conjoining two indefinites by related sentences seems to produce a contradiction [Fine,K]
     Full Idea: If 'P is red' and 'P is orange' are indefinite, then 'P is red and P is orange' seems false, because red and orange are exclusive. But if two conjoined indefinite sentences are false, that makes 'P is red and P is red' false, when it should be indefinite.
     From: Kit Fine (Vagueness: a global approach [2020], 1)
     A reaction: [compressed] This is the problem of 'penumbral connection', where two indefinite values are still logically related, by excluding one another. Presumably 'P is red and P is of indefinite shape' can be true? Doubtful about this argument.
Standardly vagueness involves borderline cases, and a higher standpoint from which they can be seen [Fine,K]
     Full Idea: Standard notions of vagueness all accept borderline cases, and presuppose a higher standpoint from which a judgement of being borderline F, rather than simply being F or being not F, can be made.
     From: Kit Fine (Vagueness: a global approach [2020], 3)
     A reaction: He says that the concept of borderline cases is an impediment to understanding vagueness. Proposing a third group when you are struggling to separate two other groups doesn't seem helpful, come to think of it. Limbo cases.
7. Existence / D. Theories of Reality / 10. Vagueness / c. Vagueness as ignorance
Identifying vagueness with ignorance is the common mistake of confusing symptoms with cause [Fine,K]
     Full Idea: We can see Epistemicism [vagueness as ignorance] as a common and misguided tendency to identify a cause with its symptoms. We are unsure how to characterise vagueness, and identify it with the resulting ignorance, instead of explaining it.
     From: Kit Fine (Vagueness: a global approach [2020], 1)
     A reaction: Love it. This echoes my repeated plea in these reactions to stop identifying features of reality with the functions which embody them or the patterns they create. We need to explain them, and must dig deeper.
7. Existence / D. Theories of Reality / 10. Vagueness / d. Vagueness as linguistic
Semantic vagueness involves alternative and equal precisifications of the language [Lewis]
     Full Idea: If vagueness is semantic indeterminacy, then wherever we have vague statements, we have several alternative precisifications of the vague language involved, all with equal claims of being 'intended'.
     From: David Lewis (Vague Identity: Evans misunderstood [1988], p.318)
Vagueness is semantic indecision: we haven't settled quite what our words are meant to express [Lewis]
     Full Idea: I regard vagueness as semantic indecision: where we speak vaguely, we have not troubled to settle which of some range of precise meanings our words are meant to express.
     From: David Lewis (On the Plurality of Worlds [1986], 4.4 n32)
     A reaction: But that seems to leave the problem of how you are going to decide the boundaries of 'heap' or 'bald', if we all agree to become more precise. In law precise boundaries are often drawn a bit arbitrarily, simply because a boundary is needed.
Whether or not France is hexagonal depends on your standards of precision [Lewis]
     Full Idea: Say that France is hexagonal, and you thereby set the standards of precision low, and you speak the truth; say that France is not hexagonal (preferably on some other occasion) and you set the standards high, and again you speak the truth.
     From: David Lewis (On the Plurality of Worlds [1986], 4.5)
     A reaction: This is very persuasive. It fits with my views on justification, which are to do with how high I (or more often 'we') decide to set the standards, thereby defining knowledge for that occasion. Hm. Has Lewis cracked vagueness? [P.S. NO!]
Semantic indecision explains vagueness (if we have precisifications to be undecided about) [Lewis]
     Full Idea: Semantic indecision will suffice to explain the phenomenon of vagueness. [note] Provided that there exist the many precisifications for us to be undecided between. If you deny this, you will indeed have need of vague objects.
     From: David Lewis (Many, but almost one [1993], 'Two solutions')
     A reaction: [He mentions Van Inwagen 1990:213-83] There seem to be three solutions to vague objects: that they really are vague, that they are precise but we can't know precisely, or Lewis's view. I like Lewis's view. Do animals have any problem with vagueness?
Vagueness is semantic, a deficiency of meaning [Fine,K]
     Full Idea: I take vagueness to be a semantic feature, a deficiency of meaning. It is to be distinguished from generality, undecidability, and ambiguity.
     From: Kit Fine (Vagueness, Truth and Logic [1975], Intro)
     A reaction: Sounds good. If we cut nature at the joints with our language, then nature is going to be too subtle and vast for our finite and gerrymandered language, and so it will break down in tricky situations. But maybe epistemology precedes semantics?
7. Existence / D. Theories of Reality / 10. Vagueness / e. Higher-order vagueness
A thing might be vaguely vague, giving us higher-order vagueness [Fine,K]
     Full Idea: There is a possibility of 'higher-order vagueness'. The vague may be vague, or vaguely vague, and so on. If J has few hairs on his head than H, then he may be a borderline case of a borderline case.
     From: Kit Fine (Vagueness, Truth and Logic [1975], 5)
     A reaction: Such slim grey areas can also be characterised as those where you think he is definitely bald, but I am not so sure.
7. Existence / D. Theories of Reality / 10. Vagueness / f. Supervaluation for vagueness
A vague sentence is only true for all ways of making it completely precise [Fine,K]
     Full Idea: A vague sentence is (roughly stated) true if and only if it is true for all ways of making it completely precise (the 'super-truth theory').
     From: Kit Fine (Vagueness, Truth and Logic [1975], Intro)
     A reaction: Intuitively this sounds quite promising. Personally I think we should focus on the 'proposition' rather than the 'sentence' (where fifteen sentences might be needed before we can agree on the one proposition).
Logical connectives cease to be truth-functional if vagueness is treated with three values [Fine,K]
     Full Idea: With a three-value approach, if P is 'blob is pink' and R is 'blob is red', then P&P is indefinite, but P&R is false, and P∨P is indefinite, but P∨R is true. This means the connectives & and ∨ are not truth-functional.
     From: Kit Fine (Vagueness, Truth and Logic [1975], 1)
     A reaction: The point is that there could then be no logic in any way classical for vague sentences and three truth values. A powerful point.
Meaning is both actual (determining instances) and potential (possibility of greater precision) [Fine,K]
     Full Idea: The meaning of an expression is the product of both its actual meaning (what helps determine its instances and counter-instances), and its potential meaning (the possibilities for making it more precise).
     From: Kit Fine (Vagueness, Truth and Logic [1975], 2)
     A reaction: A modal approach to meaning is gloriously original. Being quite a fan of real modalities (the possibilities latent in actuality), I find this intuitively appealing.
Supervaluation can give no answer to 'who is the last bald man' [Fine,K]
     Full Idea: Under supervaluation there should always be someone who is the last bald man in the sequence, but there is always an acceptable way to make some other man the last bald man.
     From: Kit Fine (Vagueness: a global approach [2020], 1)
     A reaction: Fine seems to take this as a conclusive refutation of the supervaluation approach. Fine says (p.41) that supervaluation says there is a precisification for every instance.
With the super-truth approach, the classical connectives continue to work [Fine,K]
     Full Idea: With the super-truth approach, if P is 'blob is pink' and R is 'blob is red', then P&R is false, and P∨R is true, since one of P and R is true and one is false in any complete and admissible specification. It encompasses all 'penumbral truths'.
     From: Kit Fine (Vagueness, Truth and Logic [1975], 3)
     A reaction: [See Idea 9767 for the super-truth approach, and Idea 9770 for a contrasting view] The approach, which seems quite appealing, is that we will in no circumstances give up basic classical logic, but we will make maximum concessions to vagueness.
Borderline cases must be under our control, as capable of greater precision [Fine,K]
     Full Idea: Any borderline case must be under our control, in the sense that it can be settled by making the predicates more precise.
     From: Kit Fine (Vagueness, Truth and Logic [1975], 3)
     A reaction: Sounds good. Consider an abstract concept like the equator. It is precise on a map of the world, but vague when you are in the middle of the tropics. But we can always form a committee to draw a (widish) line on the ground delineating it.
7. Existence / D. Theories of Reality / 11. Ontological Commitment / b. Commitment of quantifiers
Ontological claims are often universal, and not a matter of existential quantification [Fine,K]
     Full Idea: I suggest we give up on the account of ontological claims in terms of existential quantification. The commitment to the integers is not an existential but a universal commitment, to each of the integers, not to some integer or other.
     From: Kit Fine (The Question of Ontology [2009], p.167)
     A reaction: In classical logic it is only the existential quantifier which requires the domain to be populated, so Fine is more or less giving up on classical logic as a tool for doing ontology (apparently?).
8. Modes of Existence / A. Relations / 1. Nature of Relations
The 'standard' view of relations is that they hold of several objects in a given order [Fine,K]
     Full Idea: The 'standard' view of relations, held by philosophers and logicians alike, is that we may meaningfully talk of a relation holding of several objects in a given order (which works for examples like 'loves' and 'between').
     From: Kit Fine (Neutral Relations [2000], Intro)
     A reaction: The point of Fine's paper is that there are many relations for which this model seems to fail.
The 'positionalist' view of relations says the number of places is fixed, but not the order [Fine,K]
     Full Idea: The 'positionalist' view of relations is that each relation is taken to be endowed with a given number of argument places, or positions, in no specified order. [...The argument-places are specific entities, such as 'lover' and 'beloved']
     From: Kit Fine (Neutral Relations [2000], Intro)
     A reaction: Fine offers this as an alternative to the 'standard' view of relations, in which the order of the objects matters. He then adds, and favours, the 'anti-positionalist' view, where there are not even a fixed number of places.
A block on top of another contains one relation, not both 'on top of' and 'beneath' [Fine,K]
     Full Idea: If block a is on block b, it is hard to see how this state of affairs might consist of both 'on top of' and 'beneath'. Surely if the state is a genuine relational complex, there must be a single relation for these relata?
     From: Kit Fine (Neutral Relations [2000], 1)
     A reaction: He has already shown that if such relations imply their converses, then that gives you two separate relations. He goes on to observe that you cannot pick one of the two as correct, because of symmetry. He later offers the 'vertical placement' relation.
Explain biased relations as orderings of the unbiased, or the unbiased as permutation classes of the biased? [Fine,K]
     Full Idea: A 'biased' relation can be taken to be the result of imposing ordering on the argument-places of an unbiased relation, ..or we can take an unbiased relation to be a 'permutation class' of biased relations. This is a familiar metaphysic predicament.
     From: Kit Fine (Neutral Relations [2000], 3)
     A reaction: 'Biased' relations such as 'on top of' have an ordering to their places, but 'unbiased' relations such as 'vertical placement' do not. This is a nice question in the metaphysics of grounding relations between key concepts.
Language imposes a direction on a road which is not really part of the road [Fine,K]
     Full Idea: Roads in the directional sense (A-to-B or B-to-A) are merely roads in the adirectional sense up which a direction has been imposed.
     From: Kit Fine (Neutral Relations [2000], 1)
     A reaction: This is Fine's linguistic objection to the standard view of relations. It is undeniable that language imposes an order where it may not exist ('Bob and Jane play tennis'), and this fact is very significant in discussing relations.
8. Modes of Existence / B. Properties / 1. Nature of Properties
Surely 'slept in by Washington' is a property of some bed? [Lewis]
     Full Idea: That the most noteworthy property of this bed is that George Washington slept in it - surely this is true on some legitimate conception of properties?
     From: David Lewis (On the Plurality of Worlds [1986], 1.5)
     A reaction: Wrong! This example is a nice clear test case. This is an absurd slippery slope. A bed he once looked at? I would have thought this was a relation the bed once entered into, and a relation isn't a property.
Universals are wholly present in their instances, whereas properties are spread around [Lewis]
     Full Idea: Universals and properties are different because a universal is supposed to be wholly present wherever it is instantiated. A property, by contrast, is spread around. The property of being a donkey is partly present wherever there is a donkey.
     From: David Lewis (New work for a theory of universals [1983], 'Un and Prop')
     A reaction: No mention of tropes. The claim that universals are widespread, and yet must be instantiated, is dealt with by Lewis's commitment to the existence of possible donkeys.
Properties don't have degree; they are determinate, and things have varying relations to them [Lewis]
     Full Idea: I have made no place for properties that admit of degree, so that things may have more or less of the same property. There are plain properties, and then there are relations to them.
     From: David Lewis (On the Plurality of Worlds [1986], 1.5)
     A reaction: An interesting question, little discussed. Elsewhere, Lewis ascribes all vagueness to our inadequate predicates, rather than to the world, which I find quite persuasive.
The 'abundant' properties are just any bizarre property you fancy [Lewis]
     Full Idea: Properties are 'sparse' or 'abundant'. The abundant properties may be as extrinsic, as gruesomely gerrymandered, as miscellaneously disjunctive, as you please. They pay no heed to the qualitative joints, but carve things up every which way.
     From: David Lewis (On the Plurality of Worlds [1986], 1.5)
     A reaction: This seems to be a logician's idea, which is needed for the notion of a set as pure extension, but it has very little to do with what I understand by the word 'property'. Better to call it a 'categorization'. E.g. filing George W. Bush under 'jackal'.
8. Modes of Existence / B. Properties / 2. Need for Properties
To be a 'property' is to suit a theoretical role [Lewis]
     Full Idea: To deserve the name of 'property' is to be suited to play the right theoretical role. It is wrong to speak of 'the' role associated with the word 'property', as if it were fully and uncontroversially settled.
     From: David Lewis (On the Plurality of Worlds [1986], 1.5)
     A reaction: Once again I see a chicken-and-egg problem. Surely something has a theoretical role because of its intrinsic character, or its prior definition? How could you formulate a theory if you lacked properties? We don’t meet properties as gaps in theories.
8. Modes of Existence / B. Properties / 4. Intrinsic Properties
Being alone doesn't guarantee intrinsic properties; 'being alone' is itself extrinsic [Lewis, by Sider]
     Full Idea: The property of 'being alone in the world' is an extrinsic property, even though it has had by an object that is alone in the world.
     From: report of David Lewis (Extrinsic Properties [1983]) by Theodore Sider - Writing the Book of the World 01.2
     A reaction: I always choke on my cornflakes whenever anyone cites a true predicate as if it were a genuine property. This is a counterexample to Idea 14978. Sider offers another more elaborate example from Lewis.
Extrinsic properties come in degrees, with 'brother' less extrinsic than 'sibling' [Lewis]
     Full Idea: Properties may be more or less intrinsic; being a brother has more of an admixture of intrinsic structure than being a sibling does, yet both are extrinsic.
     From: David Lewis (Extrinsic Properties [1983], I)
     A reaction: I suppose the point is that a brother is intrinsically male - but then a sibling is intrinsically human. A totally extrinsic relation would be one between entities which shared virtually no categories of existence.
A disjunctive property can be unnatural, but intrinsic if its disjuncts are intrinsic [Lewis]
     Full Idea: A property can be unnatural by reason of disjunctiveness, as the property of being tripartite-or-liquid-or-cubical is, and it is intrinsic if its disjuncts are.
     From: David Lewis (On the Plurality of Worlds [1986], 1.5)
     A reaction: This strikes me as being utterly, shockingly and disgracefully wrong. A disjunction can't possibly be a property. Can a person have the property of being 'fat or thin'? A disjunction offers candidates for properties, not the properties themselves.
If a global intrinsic never varies between possible duplicates, all necessary properties are intrinsic [Cameron on Lewis]
     Full Idea: Lewis defines a globally intrinsic property as one that never varies between duplicates across possible worlds. This has the immediate problem that any property that is necessarily had, or necessarily lacked, by every thing will be intrinsic.
     From: comment on David Lewis (On the Plurality of Worlds [1986], p.61-2) by Ross P. Cameron - Intrinsic and Extrinsic Properties 'Analysis'
     A reaction: [He also cites Langton and Lewis 1998] To me this is the sort of tangle you get into when you equate properties with predicates. The problem seems to concern necessary predicates (but those may not be necessary properties).
Global intrinsic may make necessarily coextensive properties both intrinsic or both extrinsic [Cameron on Lewis]
     Full Idea: If a globally intrinsic properties are those that never vary between duplicates across possible worlds, then necessarily coextensive properties will either be both intrinsic or both extrinsic.
     From: comment on David Lewis (On the Plurality of Worlds [1986], p.61-2) by Ross P. Cameron - Intrinsic and Extrinsic Properties 'Analysis'
     A reaction: Presumably this problem would arise if some intrinsic property entailed an extrinsic property (or, less likely, vice versa). These sorts of problems arise when you try to define everything extensionally (even across possible worlds).
If you think universals are immanent, you must believe them to be sparse, and not every related predicate [Lewis]
     Full Idea: Any theorist of universals as immanent had better hold a sparse theory; it is preposterous on its face that a thing has as many nonspatiotemporal parts as there are different predicates that it falls under, or different classes that it belongs to.
     From: David Lewis (Against Structural Universals [1986], 'Why believe')
     A reaction: I am firmly committed to sparse universal, and view the idea that properties are just predicates as the sort of nonsense that results from approaching philosophy too linguistically.
We must avoid circularity between what is intrinsic and what is natural [Lewis, by Cameron]
     Full Idea: Lewis revised his analysis of duplication because he had assumed that as a matter of necessity perfectly natural properties are intrinsic, and that necessarily how a thing is intrinsically is determined completely by the natural properties it has.
     From: report of David Lewis (Defining 'Intrinsic' (with Rae Langton) [1998]) by Ross P. Cameron - Intrinsic and Extrinsic Properties 'Analysis'
     A reaction: [This compares Lewis 1986:61 with Langton and Lewis 1998] I am keen on both intrinsic and on natural properties, but I have not yet confronted this little problem. Time for a displacement activity, I think....
A property is 'intrinsic' iff it can never differ between duplicates [Lewis]
     Full Idea: A property is 'intrinsic' iff it never can differ between duplicates; iff whenever two things (actual or possible) are duplicates, either both of them have the property or both of them lack it.
     From: David Lewis (Defining 'Intrinsic' (with Rae Langton) [1998], IV)
     A reaction: This leaves me wondering how one could arrive at a precise definition of 'duplicates'. Can it be done without mentioning that they have the same intrinsic properties?
Ellipsoidal stars seem to have an intrinsic property which depends on other objects [Lewis]
     Full Idea: The property of being an ellipsoidal star would seem offhand to be a basic intrinsic property, but it is incompatible (nomologically) with being an isolated object.
     From: David Lewis (Defining 'Intrinsic' (with Rae Langton) [1998], V)
     A reaction: Another nice example from Lewis. It makes you wonder whether the intrinsic/extrinsic distinction should go. Modern physics, with its 'entanglements', doesn't seem to suit the distinction.
All of the natural properties are included among the intrinsic properties [Lewis]
     Full Idea: It cannot be said that all intrinsic properties are perfectly natural, ...but it can plausibly be said that all perfectly natural properties are intrinsic.
     From: David Lewis (On the Plurality of Worlds [1986], 1.5)
     A reaction: Idea 15742 give the example he uses to support this claim. I like the concept of 'intrinsic' properties, but cannot currently see any use for the concept of 'natural' ones.
8. Modes of Existence / B. Properties / 5. Natural Properties
We might try defining the natural properties by a short list of them [Lewis]
     Full Idea: We might try defining the natural properties by a short list, of the mass properties, charge properties, quark properties and flavours...
     From: David Lewis (On the Plurality of Worlds [1986], 1.5 n47)
     A reaction: He rejects this because of possible natural properties in other possible worlds. Defining anything by a list seems like cheating. Does John, Paul, George and Ringo 'define' something?
Natural properties figure in the analysis of similarity in intrinsic respects [Lewis, by Oliver]
     Full Idea: Lewis argues that there are natural properties, which makes various analyses possible, especially of similarity in intrinsic respects. Naturalness comes in degrees, with perfectly natural properties being the limiting case.
     From: report of David Lewis (New work for a theory of universals [1983]) by Alex Oliver - The Metaphysics of Properties 4
     A reaction: This sounds to be the wrong way round. We don't start with similarities and work back to natural properties. We encounter natural properties (through their causal action), and these give rise to the similarities.
Lewisian natural properties fix reference of predicates, through a principle of charity [Lewis, by Hawley]
     Full Idea: For Lewis natural properties are important for their role in making language and thought determinate: principles of charity or humanity tell us to attribute natural properties to predicates wherever possible, break underdetermination of their reference.
     From: report of David Lewis (New work for a theory of universals [1983]) by Katherine Hawley - How Things Persist 3.8
     A reaction: Lewis always seems to find reasons in semantics or logic for his metaphysics, instead of in the science. Lewis ends up with 'folk' natural properties, instead of accurate ones.
Reference partly concerns thought and language, partly eligibility of referent by natural properties [Lewis]
     Full Idea: Reference consists in part of what we do in language or thought when we refer, but in part it consists in eligibility of the referent. And this eligibility to be referred to is a matter of natural properties.
     From: David Lewis (New work for a theory of universals [1983], 'Cont of L')
     A reaction: This is a surprising conclusion for Lewis to reach, having started from properties as any old set members (see Idea 8572). There are references to intentional objects, such as 'there should have been someone on duty'.
Objects are demarcated by density and chemistry, and natural properties belong in what is well demarcated [Lewis]
     Full Idea: Where my cat (Bruce) ends, there the density of matter, the relative abundance of chemical elements, abruptly change. Bruce is also a locus of causal chains, which traces back to natural properties. Natural properties belong to well demarcated things.
     From: David Lewis (New work for a theory of universals [1983], 'Cont of L')
     A reaction: This is an amazingly convoluted way to define natural properties in terms of the classes they generate, but it seems obvious to me that the properties are logically prior to the classes.
Natural properties tend to belong to well-demarcated things, typically loci of causal chains [Lewis]
     Full Idea: One thing that makes for naturalness of a property is that it is a property belonging exclusively to well-demarcated things (like my cat Bruce, who is a locus of causal chains).
     From: David Lewis (New work for a theory of universals [1983], 'Cont of L')
     A reaction: Compare Idea 8557. Well-demarcated things may also have gerrymandered properties that are parts of 'arbitrary Boolean compounds' (Lewis). Why not make use of the causal chains to identify the properties?
For us, a property being natural is just an aspect of its featuring in the contents of our attitudes [Lewis]
     Full Idea: The reason natural properties feature in the contents of our attitudes is that naturalness is part of what it is to feature therein. We aren't built to take a special interest in natural properties, or that we call them natural if they are interesting.
     From: David Lewis (New work for a theory of universals [1983], 'Cont of L')
     A reaction: Evolution never features in Lewis's metaphysics. I would have thought we were very much built to focus on natural properties. This sounds odd, and gives no help in distinguishing natural properties from all our other daft contents.
All perfectly natural properties are intrinsic [Lewis, by Lewis]
     Full Idea: Lewis proposed that all perfectly natural properties are intrinsic.
     From: report of David Lewis (New work for a theory of universals [1983], p.355-7) by David Lewis - Defining 'Intrinsic' (with Rae Langton) IX
     A reaction: Depends what you mean by 'natural', 'property' and 'intrinsic'! Presumably there are natural extrinsic facts, in naturally necessary relationships. If all natural properties are powers, they would have to be intrinsic. Extrinsics would be derivative.
Natural properties fix resemblance and powers, and are picked out by universals [Lewis]
     Full Idea: Perhaps we could call a property 'perfectly' natural if its members are all and only those things that share some one universal, ...where the natural properties would be the ones whose sharing makes for resemblance, and the ones relevant to causal powers.
     From: David Lewis (New work for a theory of universals [1983], 'Un and Prop')
     A reaction: This is Lewis fishing for an account of properties that does a bit better than the mere recourse to set theory (which he intuitively favours) seems to do. He remains neutral about the ontological status of a universal (though he prefers nominalism).
Natural properties give similarity, joint carving, intrinsicness, specificity, homogeneity... [Lewis]
     Full Idea: Sharing of [perfectly natural properties] makes for qualitative similarity, they carve at the joints, they are intrinsic, they are highly specific, the sets of their instances are ipso facto not highly miscellaneous.
     From: David Lewis (On the Plurality of Worlds [1986], 1.5)
     A reaction: All this sounds like just what I want, but when I read Lewis he seems to be arriving at these natural properties by the wrong route. Too much Hume, too much extensionalism.
Defining natural properties by means of laws of nature is potentially circular [Lewis]
     Full Idea: Shall we say that natural properties are the ones that figure in laws of nature? - Not if we are going to use naturalness of properties when we draw the line between laws of nature and accidental regularities.
     From: David Lewis (On the Plurality of Worlds [1986], 1.5)
     A reaction: Personally I wouldn't dream of defining anything by saying that it figured in laws of nature. The laws, if there be such (see Mumford) are built up from more fundamental components, such as (perhaps) properties.
We can't define natural properties by resemblance, if they are used to explain resemblance [Lewis]
     Full Idea: Shall we say that natural properties are the ones whose instances are united by resemblance? - Not if we are going to say that resemblance is the sharing of natural properties.
     From: David Lewis (On the Plurality of Worlds [1986], 1.5)
     A reaction: The target of this appears to be the proposal of Quinton. By now I have totally given up on so-called 'natural' properties. Lewis says the circularity (also in Idea 15743) is a reason to treat 'natural' here as primitive (though he rejects that).
I don't take 'natural' properties to be fixed by the nature of one possible world [Lewis]
     Full Idea: Some people suppose my natural properties are distinguished by nature, and hence natural in one world and not another. I intend properties to be natural or unnatural simpliciter, not relative to one or another world.
     From: David Lewis (On the Plurality of Worlds [1986], 1.5 n44)
     A reaction: This is an important warning for the likes of me. I've have begun to doubt the utility of the term 'natural' property, and this reinforces my view.
Sparse properties rest either on universals, or on tropes, or on primitive naturalness [Lewis, by Maudlin]
     Full Idea: Lewis surveys three accounts of sparse properties: a set of objects instantiating a single universal; a set of objects having as parts duplicates of some trope; and a set distinguished by a further unanalyzable, primitive characteristic of naturalness.
     From: report of David Lewis (On the Plurality of Worlds [1986], p.60-) by Tim Maudlin - The Metaphysics within Physics
     A reaction: The very idea of suggesting that a property is some set of objects strikes me as bizarre. I present you with a table full of objects and say that is the complete set of some property. You then have to study the objects to find out what the property is.
I assume there could be natural properties that are not instantiated in our world [Lewis]
     Full Idea: It is possible, I take it, that there might be simple natural properties different from any that instantiated within our world.
     From: David Lewis (Against Structural Universals [1986], 'Uninstantiated')
     A reaction: Interesting. Fine for Lewis, of course, for whom possibilities seem (to me) to be just logical possibilities. Even a scientific essentialist, though, must allow that different stuff might exist, which might have different intrinsic properties.
8. Modes of Existence / B. Properties / 6. Categorical Properties
Lewis says properties are sets of actual and possible objects [Lewis, by Heil]
     Full Idea: David Lewis has produced an important theory of properties as sets of actual and possible objects.
     From: report of David Lewis (New work for a theory of universals [1983]) by John Heil - From an Ontological Point of View §12.2
     A reaction: The notion that a property is an 'object' sounds wrong, as it is too passive. It also seems to allow for the possibility of uninstantiated properties existing, where properties are presumably always 'of' something.
Any class of things is a property, no matter how whimsical or irrelevant [Lewis]
     Full Idea: Any class of things, be it ever so gerrymandered and miscellaneous and indescribable in thought and language, and be it ever so superfluous in characterizing the world, is nevertheless a property.
     From: David Lewis (New work for a theory of universals [1983], 'Un and Prop')
     A reaction: I much prefer, at the very least, the sparse approach of Armstrong, and in fact would vote for Shoemaker's highly physical view. Lewis proceeds after this to try to pick out the properties that really matter.
The distinction between dispositional and 'categorical' properties leads to confusion [Lewis]
     Full Idea: To avoid the danger of claiming that dispositions are their own categorical bases, we do better to eschew the alleged distinction between dispositional and 'categorical' properties altogether.
     From: David Lewis (Finkish dispositions [1997], II)
     A reaction: Since I have been unable to form any intuitive notion of what a 'categorical' property is, I like this, though not necessarily for his reason.
8. Modes of Existence / B. Properties / 10. Properties as Predicates
There are far more properties than any brain could ever encodify [Lewis]
     Full Idea: There are so many properties that those specifiable in English, or in the brain's language of synaptic interconnections and neural spikes, could only be an infinitesimal minority.
     From: David Lewis (New work for a theory of universals [1983], 'Un and Prop')
     A reaction: Thus there are innumerable properties that must lack predicates. But there are also innumerable predicates that correspond to no real properties. I conclude that properties and predicates have very little in common. Job done.
We need properties as semantic values for linguistic expressions [Lewis]
     Full Idea: We need properties, sometimes natural and sometimes not, to provide an adequate supply of semantic values for linguistic expressions.
     From: David Lewis (New work for a theory of universals [1983], 'Un and Prop')
     A reaction: A characteristically twentieth century approach, which I find puzzling. We don't need a Loch Ness Monster in order to use the term 'Loch Ness Monster'. Lewis appears to have been a pupil of Quine... He was not, though, a Predicate Nominalist.
There is the property of belonging to a set, so abundant properties are as numerous as the sets [Lewis]
     Full Idea: The abundant properties far outrun the predicates of any language we could possibly possess. ...Properties are as abundant as the sets, because for any set whatever, there is the property of belonging to that set.
     From: David Lewis (On the Plurality of Worlds [1986], 1.5)
     A reaction: The idea of calling such things 'properties' strikes me as preposterous, but it is interesting that we confront truths which outrun our predicates. We can't have all of these predicates together, but there is no impediment to any one of them.
Properties are very abundant (unlike universals), and are used for semantics and higher-order variables [Lewis]
     Full Idea: Properties are abundant, numbering at least beth-3 for properties of individuals alone; they are suited to serve as semantic values of arbitrarily complex predicates and gerunds, and higher-order variables. (If there are universals, they are sparse).
     From: David Lewis (Events [1986], II n2)
     A reaction: To me this is an outrageous hijacking of the notion of property which is needed for explaining the natural world. He seems to be talking about predicates. He wants to leave me with his silly universals - well I don't want them, thank you.
8. Modes of Existence / B. Properties / 11. Properties as Sets
A property is the set of its actual and possible instances [Lewis, by Oliver]
     Full Idea: Lewis proposes that a property is the set of its actual and possible instances.
     From: report of David Lewis (On the Plurality of Worlds [1986], 1.5) by Alex Oliver - The Metaphysics of Properties 10
     A reaction: I just can't make sense of any proposal that a property is a set. Things fall into natural sets because they have properties. Only a philosopher would believe such a weird proposal as this one. Triangular and trilateral?
It would be easiest to take a property as the set of its instances [Lewis]
     Full Idea: The simplest plan for properties is to take a property just as the set of all its instances.
     From: David Lewis (On the Plurality of Worlds [1986], 1.5)
     A reaction: I find this a weird and counterintuitive proposal. I suppose if you think maths has been reduced to set theory, you might want to reduce everything else, and then we can all go home. I thought things were in sets because of their properties.
Properties are classes of possible and actual concrete particulars [Lewis, by Koslicki]
     Full Idea: Lewis has a preference for a nominalist conception of properties as classes of possible and actual concrete particulars.
     From: report of David Lewis (New work for a theory of universals [1983]) by Kathrin Koslicki - The Structure of Objects II.3
     A reaction: I'm sympathetic to nominalism, but still can't swallow the idea that a property like redness is nothing more than a collection of particulars, the red things. This class will include all sorts of non-red features.
Properties are sets of their possible instances (which separates 'renate' from 'cordate') [Lewis, by Mellor/Oliver]
     Full Idea: Lewis agrees that properties cannot be sets of their actual instances, but claims they can be sets of their possible instances. This would distinguish coextensive properties like being cordate and renate, since they might be separated.
     From: report of David Lewis (Modal Realism at Work: Properties [1986]) by DH Mellor / A Oliver - Introduction to 'Properties' §10
     A reaction: Sounds wrong. Two properties could be obviously different even if they could never be separated. In this world a creature might briefly survive without kidneys.
The property of being F is identical with the set of objects, in all possible worlds, which are F [Lewis, by Cameron]
     Full Idea: Lewis thought that the property of being F was identical with the set of objects, in all possible worlds, which are F.
     From: report of David Lewis (On the Plurality of Worlds [1986], §1.5) by Ross P. Cameron - Intrinsic and Extrinsic Properties
     A reaction: I can't make head or tail of a theory which says that a property is a set of objects. I'll show you a room full of objects and tell you they are a property. How are you going to work out what the property is? 'Being F' is a predicate, not a property!
Accidentally coextensive properties come apart when we include their possible instances [Lewis]
     Full Idea: In modal realism, 'accidentally coextensive' properties are not coextensive. They only appear so when we ignore their other-worldly instances. If we consider all instances, then it never can happen that two properties are coextensive but might have been.
     From: David Lewis (On the Plurality of Worlds [1986], 1.5)
     A reaction: It is not clear why this 'can never happen'. Maybe even God can't make a hearted creature without kidneys. Lewis is aware of this question.
Properties don't seem to be sets, because different properties can have the same set [Lewis]
     Full Idea: The usual objection to taking properties as sets is that different properties may happen to be coextensive. Creatures with hearts are creatures with kidneys. Talking donkeys are flying pigs (since there are none). Yet the properties differ.
     From: David Lewis (On the Plurality of Worlds [1986], 1.5)
     A reaction: This is the difficulty which Lewis proposes to solve by defining properties across possible situations as well as actual ones, so that the properties can come apart. Nice move.
If a property is relative, such as being a father or son, then set membership seems relative too [Lewis]
     Full Idea: A property that is instantiated in a relative way (such as being a father or a son) could not be the set of its instances? Is the thing to be included in the set or not?
     From: David Lewis (On the Plurality of Worlds [1986], 1.5)
     A reaction: He says philosophers contrive ways to define properties as functions, but he prefers to call such properties 'relations', and define them that way. It never even occurred to me that 'being a son' was one of my properties, but what do I know?
A property is any class of possibilia [Lewis]
     Full Idea: A property is any class of possibilia.
     From: David Lewis (Parts of Classes [1991], 2.7)
Trilateral and triangular seem to be coextensive sets in all possible worlds [Lewis]
     Full Idea: We can't take a property as sets of this-worldly instances, because two properties may be coextensive. Some say it is just as bad in all possible worlds, if the property is necessary, as when all triangles are trilateral, which seem different.
     From: David Lewis (On the Plurality of Worlds [1986], 1.5)
     A reaction: [compressed] Renate/cordate is the standard example of the first problem. Lewis seems to equivocate over exactly what is meant by a property. I take the example to be a powerful objection to treating properties as sets.
I believe in properties, which are sets of possible individuals [Lewis]
     Full Idea: I believe in properties. That is, I have my candidates for entities to play the role and deserve the name. My principal candidates are sets of possible individuals.
     From: David Lewis (On the Plurality of Worlds [1986], 3.4)
     A reaction: I am bewildered by any claim that a property is a 'set'. The property of being a teaspoon is just a large pile of teaspoons (one pile in each possible world)? This is the tyranny of first-order logic in philosophy. Are sets more real than properties?
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
You must accept primitive similarity to like tropes, but tropes give a good account of it [Lewis]
     Full Idea: If you will not countenance primitive similarity in any form, then trope theory is not for you. But if you will, then duplication of tropes is an especially satisfactory form of primitive similarity to take.
     From: David Lewis (On the Plurality of Worlds [1986], 1.5)
     A reaction: This presents the question about tropes in a beautifully simple form. Perfect similarities seem fine, but partial similarities (red and pink things) are hard, and abstract reference (pinkness and redness) is even harder.
Tropes are particular properties, which cannot recur, but can be exact duplicates [Lewis]
     Full Idea: Tropes are supposed to be particularized properties: nonspatiotemporal parts of their instances which cannot occur repeatedly, but can be exact duplicates.
     From: David Lewis (Against Structural Universals [1986], 'Intro')
     A reaction: Russell's objection is that 'duplication' appears to be a non-trope universal. The account seems wrong for very close resemblance, which is accepted by everyone as being the same (e.g. in colour, for football shirts).
8. Modes of Existence / B. Properties / 13. Tropes / b. Critique of tropes
Trope theory needs a primitive notion for what unites some tropes [Lewis]
     Full Idea: Trope theory needs a primitive notion - 'instantion' in yet another sense - to say how the tropes that comprise a particle are united.
     From: David Lewis (On the Plurality of Worlds [1986], 1.5)
     A reaction: Any theory which says that objects are just 'bundles' of tropes is asking for trouble. But if you say (with Lowe and others) that tropes are 'modes' of existing entities, you still have to give an account of the entity.
Trope theory (unlike universals) needs a primitive notion of being duplicates [Lewis]
     Full Idea: Trope theory has the drawback that we need the primitive notion of duplicate tropes, whereas with universals we just say that it is one and the same universal through some charged particles.
     From: David Lewis (On the Plurality of Worlds [1986], 1.5)
     A reaction: The normal term for this primitive is 'perfect resemblance', though that seems to make close resemblance a bit complicated and puzzling. I'm not sure if I understand resemblance as a feature of the world, rather than of our minds.
Tropes need a similarity primitive, so they cannot be used to explain similarity [Lewis]
     Full Idea: Trope theory cannot analyse similarity, because duplication of tropes is itself a primitive relation of similarity.
     From: David Lewis (On the Plurality of Worlds [1986], 1.5)
     A reaction: A reasonable reply to this one, I think, is that no one can explain or analyse similarity. To say that the same universal (or bunch of graded universals) is instantiated explains nothing. Maybe type-identity must be primitive in any theory?
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
If dispositions are more fundamental than causes, then they won't conceptually reduce to them [Bird on Lewis]
     Full Idea: Maybe a disposition is a more fundamental notion than a cause, in which case Lewis has from the very start erred in seeking a causal analysis, in a traditional, conceptual sense, of disposition terms.
     From: comment on David Lewis (Causation [1973]) by Alexander Bird - Nature's Metaphysics 2.2.8
     A reaction: Is this right about Lewis? I see him as reducing both dispositions and causes to a set of bald facts, which exist in possible and actual worlds. Conditionals and counterfactuals also suffer the same fate.
8. Modes of Existence / C. Powers and Dispositions / 3. Powers as Derived
All dispositions must have causal bases [Lewis]
     Full Idea: Prior, Pargetter and Jackson have argued convincingly for the thesis that all dispositions must have causal bases.
     From: David Lewis (Finkish dispositions [1997], II)
     A reaction: [Their paper is 1982] This key thesis is tackled by modern defenders of powers. The question is not who has the best arguments, but who offers the most coherent picture. What is a 'causal basis'? What sort of thing could be primitive or fundamental?
Lewisian properties have powers because of their relationships to other properties [Lewis, by Hawthorne]
     Full Idea: According to Lewis's conception, the causal powers of a property are constituted by its patterned relations to other properties in the particular Humean mosaic that is the actual world.
     From: report of David Lewis (New work for a theory of universals [1983]) by John Hawthorne - Causal Structuralism Intro
     A reaction: I just can't grasp this as a serious proposal. Relations cannot be the bottom line in explanation of the world. What are the relata? I take powers to be primitive.
A disposition needs a causal basis, a property in a certain causal role. Could the disposition be the property? [Lewis]
     Full Idea: I take for granted that a disposition requires a causal basis: one has the disposition iff one has a property that occupies a certain causal role. Shall we then identify the disposition with its basis? That makes the disposition cause its manifestations.
     From: David Lewis (Causal Explanation [1986], III)
     A reaction: Introduce the concept of a 'power' and I see no problem with his proposal. Fundamental dispositions are powerful, and provide the causal basis for complex dispositions. Something had better be powerful.
8. Modes of Existence / C. Powers and Dispositions / 4. Powers as Essence
The possible Aristotelian view that forms are real and active principles is clearly wrong [Fine,K, by Pasnau]
     Full Idea: Aristotle seems to have a possible basis for the belief [in individual forms], namely that forms are real and active principles in the world, which is denied by any right-minded modern.
     From: report of Kit Fine (A Puzzle Concerning Matter and Form [1994], p.19) by Robert Pasnau - Metaphysical Themes 1274-1671 24.3 n8
     A reaction: Pasnau says this is the view of forms promoted by the scholastics, whereas Aristotle's own view should be understood as 'metaphysical'.
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / c. Dispositions as conditional
A 'finkish' disposition is real, but disappears when the stimulus occurs [Lewis]
     Full Idea: A disposition which would straight away vanish if put to the test is called 'finkish'. A finkishly fragile thing is fragile so long as it is not struck. But if it were struck, it would straight away cease to be fragile, and it would not break.
     From: David Lewis (Finkish dispositions [1997], I)
     A reaction: There are also 'antidotes'. Finks kill the disposition, antidotes kill the effect. These cases are problems for the simple conditional analysis of a disposition - because we never achieved the consequent.
8. Modes of Existence / C. Powers and Dispositions / 7. Against Powers
Most properties are causally irrelevant, and we can't spot the relevant ones. [Lewis]
     Full Idea: Properties do nothing to capture the causal powers of things. Almost all properties are causally irrelevant, and there is nothing to make the relevant ones stand out from the crowd.
     From: David Lewis (New work for a theory of universals [1983], 'Un and Prop')
     A reaction: Shoemaker, who endorses a causal account of properties, has a go at this problem in Idea 8557. The property of being massive is more likely to be causal than existing fifty years after D-Day. Lewis attempts later to address the problem.
8. Modes of Existence / D. Universals / 1. Universals
The main rivals to universals are resemblance or natural-class nominalism, or sparse trope theory [Lewis]
     Full Idea: The leading rivals to a theory of universals are resemblance or natural-class nominalism, or sparse trope theory.
     From: David Lewis (Comment on Armstrong and Forrest [1986], p.110)
     A reaction: If that is the complete menu, I choose resemblance nominalism. All discussion of properties in terms of classes is wildly misguided (because properties come first). Why not 'natural' tropes?
I suspend judgements about universals, but their work must be done [Lewis]
     Full Idea: I suspend judgement about universals themselves; I only insist that, one way or another, their work must be done.
     From: David Lewis (New work for a theory of universals [1983], 'Intro')
     A reaction: This seems surprising (but admirable) in a great metaphysician, but I suppose it is symptomatic of the Humean approach to metaphysics. In the light of Ideas 3989 and 3990, I would have expected Lewis to deny universals. He probably did.
Universals recur, are multiply located, wholly present, make things overlap, and are held in common [Lewis]
     Full Idea: One and the same universal recurs; it is multiply located; it is wholly present in both instances, a shared common part whereby the two instances overlap. Being alike by sharing a universal is 'having something in common' in an absolutely literal sense.
     From: David Lewis (On the Plurality of Worlds [1986], 1.5)
     A reaction: A helpful spelling out of the commitment involved (in Armstrong and others) in belief in universals. To me this is a convenient list of reasons why the whole proposal is nonsense. Why does Lewis take them seriously?
If particles were just made of universals, similar particles would be the same particle [Lewis]
     Full Idea: We cannot say that a particle is composed entirely of its several universals, because then another particle exactly like it would have the very same universals, and yet the two particles would not be the same.
     From: David Lewis (On the Plurality of Worlds [1986], 1.5)
     A reaction: This is an argument either (implausibly) for haecceities or characterless substrata, or else for tropes (which are all separate, unlike universals). Particles as bundles of universals is not a theory I take seriously.
8. Modes of Existence / D. Universals / 2. Need for Universals
Physics aims to discover which universals actually exist [Lewis, by Moore,AW]
     Full Idea: For Lewis, we can see the purpose of physics as being to discover what universals there actually are.
     From: report of David Lewis (New work for a theory of universals [1983]) by A.W. Moore - The Evolution of Modern Metaphysics Intro
     A reaction: It seems that Lewis uses the word 'property' to mean predicates, which consist of a multitude of sets, while universals are the properties that naturally exist and cut nature at the joints . Infuriating, because the other way around seems better.
Universals are meant to give an account of resemblance [Lewis]
     Full Idea: Perhaps the main job of a theory of universals is to give an account of resemblance.
     From: David Lewis (Against Structural Universals [1986], 'Why believe')
     A reaction: This invites the quick reply, popular with some nominalists, of taking resemblance as primitive, and hence beyond explanation.
8. Modes of Existence / D. Universals / 3. Instantiated Universals
Universals aren't parts of things, because that relationship is transitive, and universals need not be [Lewis]
     Full Idea: It cannot be said that a universal is instantiated by anything that has it as a part, since the relation of part to whole is transitive. If charge is part of a particle, which is part of an atom, then charge is part of the atom, but an atom isn't charged.
     From: David Lewis (On the Plurality of Worlds [1986], 1.5)
     A reaction: Given the total mystery involved in 'instantiation', it wouldn't surprise me if someone appealed to the part-whole relation, but all moves to explain instantiation are desperate. Make it a primitive, if you must, then tiptoe away.
8. Modes of Existence / E. Nominalism / 1. Nominalism / b. Nominalism about universals
The One over Many problem (in predication terms) deserves to be neglected (by ostriches) [Lewis]
     Full Idea: The transformed problem of One over Many (in terms of predication, rather than sameness of type) deserves our neglect. The ostrich that will not look at it is a wise bird indeed.
     From: David Lewis (New work for a theory of universals [1983], '1 Ov Many')
     A reaction: This is aimed at Armstrong, and defends Quine. The remark moves Ostrich Nominalism from the category of joke to the category of respectable. I think I side with Armstrong. How is predication primitive if it has two components?
8. Modes of Existence / E. Nominalism / 5. Class Nominalism
We can add a primitive natural/unnatural distinction to class nominalism [Lewis]
     Full Idea: To class nominalism we can add a primitive distinction between natural and unnatural classes.
     From: David Lewis (Against Structural Universals [1986], 'Why believe')
     A reaction: Lewis explores this elsewhere, but this looks like a very complex concept to play the role of a 'primitive'. Human conventions seem to be parts of nature.
To have a property is to be a member of a class, usually a class of things [Lewis]
     Full Idea: To have a property is to be a member of a class, usually a class of things. (Note: this resembles the doctrine of Class Nominalism, but I do not claim to solve the One Over Many problem by this means, far from it).
     From: David Lewis (New work for a theory of universals [1983], 'Un and Prop')
     A reaction: Lewis remains neutral about the traditional question of whether universals exist. What does he mean by "is" in his assertion? Identity, predication or class membership? I think Lewis is open to many of the objections to Class Nominalism.
Class Nominalism and Resemblance Nominalism are pretty much the same [Lewis]
     Full Idea: Moderate Class Nominalism and Resemblance Nominalism (in its present form) seem to me to be a single theory presented in different styles.
     From: David Lewis (New work for a theory of universals [1983], 'Un and Prop' n9)
     A reaction: Lewis has earlier endorsed a cautious form of Class Nominalism (Idea 8570). Which comes first, having a resemblance, or being in a class? Quine seems to make resemblance basic (Idea 8486), but Lewis seems to make the class basic (Idea 8572).
9. Objects / A. Existence of Objects / 3. Objects in Thought
Objects, as well as sentences, can have logical form [Fine,K]
     Full Idea: We normally think of logical form as exclusively an attribute of sentences; however, the notion may also be taken to have application to objects.
     From: Kit Fine (Intro to 'Modality and Tense' [2005], p. 3)
     A reaction: A striking proposal which seems intuitively right. If one said that objects have 'powers', one might subsume abstract and physical objects under a single account.
9. Objects / A. Existence of Objects / 5. Individuation / b. Individuation by properties
Total intrinsic properties give us what a thing is [Lewis]
     Full Idea: The way something is is given by the totality of its intrinsic properties.
     From: David Lewis (Extrinsic Properties [1983], I)
     A reaction: No. Some properties are intrinsic but trivial. The 'important' ones fix the identity (if the identity is indeed 'fixed').
9. Objects / B. Unity of Objects / 1. Unifying an Object / a. Intrinsic unification
Modal features are not part of entities, because they are accounted for by the entity [Fine,K]
     Full Idea: It is natural to suggest that to be a man is to have certain kind of temporal-modal profile. ...but it seems natural that being a man accounts for the profile, ...so one should not appeal to an object's modal features in stating what the object is.
     From: Kit Fine (Necessity and Non-Existence [2005], 09)
     A reaction: This strikes me as a correct and very helpful point, as I am tempted to think that the modal dispositions of a thing are intrinsic to its identity. If we accept 'powers', must they be modal in character? Fine backs a sortal approach. That's ideology.
9. Objects / B. Unity of Objects / 1. Unifying an Object / c. Unity as conceptual
We should understand identity in terms of the propositions it renders true [Fine,K]
     Full Idea: We should understand the identity or being of an object in terms of the propositions rendered true by its identity rather than the other way round.
     From: Kit Fine (Ontological Dependence [1995], I)
     A reaction: Behind this is an essentialist view of identity, rather than one connected with necessary properties.
Hierarchical set membership models objects better than the subset or aggregate relations do [Fine,K]
     Full Idea: It is the hierarchical conception of sets and their members, rather than the linear conception of set and subset or of aggregate and component, that provides us with the better model for the structure of part-whole in its application to material things.
     From: Kit Fine (Things and Their Parts [1999], §5)
     A reaction: His idea is to give some sort of internal structure. He says of {a,b,c,d} that we can create subsets {a,b} and {c,d} from that. But {{a,b},{c,d}} has given member sets, and he is looking for 'natural' divisions between the members.
9. Objects / B. Unity of Objects / 3. Unity Problems / b. Cat and its tail
If cats are vague, we deny that the many cats are one, or deny that the one cat is many [Lewis]
     Full Idea: To deny that there are many cats on the mat (because removal of a few hairs seems to produce a new one), we must either deny that the many are cats, or else deny that the cats are many. ...I think both alternatives lead to successful solutions.
     From: David Lewis (Many, but almost one [1993], 'The paradox')
     A reaction: He credits the problem to Geach (and Tibbles), and says it is the same as Unger's 'problem of the many' (Idea 15536).
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
Vagueness can be in predicates, names or quantifiers [Fine,K]
     Full Idea: There are three possible sources of vagueness: the predicates, the names, and the quantifiers.
     From: Kit Fine (Vagueness, Truth and Logic [1975], 1)
     A reaction: Presumably a vagueness about the domain of discussion would be a vagueness in the quantifier. This is a helpful preliminary division, in the semantic approach to vagueness.
We do not have an intelligible concept of a borderline case [Fine,K]
     Full Idea: We simply have no intelligible notion of local indeterminacy or of a borderline case.
     From: Kit Fine (Vagueness: a global approach [2020], 2)
     A reaction: He mentions cases which are near a borderline, and cases which are hard to decide, but denies that these are intrinsically borderline. If there are borderline cases between red and orange, what are the outer boundaries of the border?
We have one cloud, but many possible boundaries and aggregates for it [Lewis]
     Full Idea: Many surfaces are equally good candidates to be boundaries of a cloud; therefore many aggregates of droplets are equally good candidates to be the cloud. How is it that we have just one cloud? And yet we do. This is Unger's (1980) 'problem of the many'.
     From: David Lewis (Many, but almost one [1993], 'The problem')
     A reaction: This is the problem of vague objects, as opposed to the problem of vague predicates, or the problem of vague truths, or the problem of vague prepositions (like 'towards').
9. Objects / C. Structure of Objects / 1. Structure of an Object
We could not uphold a truthmaker for 'Fa' without structures [Lewis]
     Full Idea: We could not, without structures, uphold the principle that every truth has a truthmaker. If Fa is true, the truthmaker is not F, not a, nor both together; not their mereological sum; not a set-theoretic construction. These would exist just the same.
     From: David Lewis (Comment on Armstrong and Forrest [1986], p.109)
     A reaction: This point ought to trouble Lewis, as well as Armstrong and Forrest. If we assert 'Fa', we must (in any theory) have some idea of what unites them, as well as of their separate existence. It must a fact about 'a', not a fact about 'F'.
The 'magical' view of structural universals says they are atoms, even though they have parts [Lewis]
     Full Idea: The 'magical' conception of structural universals says 'simple' must be distinguished from 'atomic'. A structural universal is never simple; it involves other, simpler, universals, but it is mereologically atomic. The other universals are not its parts.
     From: David Lewis (Against Structural Universals [1986], 'The magical')
     A reaction: Hence the 'magic' is for it to be an indissoluble unity, while acknowledging that it has parts. Personally I don't see much problem with this view, since universals already perform the magical feat of being 'instantiated', whatever that means.
If 'methane' is an atomic structural universal, it has nothing to connect it to its carbon universals [Lewis]
     Full Idea: What is it about the universal carbon that gets it involved in necessary connections with methane? Why not rubidium instead? The universal 'carbon' has nothing more in common with the universal methane than the universal rubidium has!
     From: David Lewis (Against Structural Universals [1986], 'The magical')
     A reaction: This is his objection to the 'magical' unity of structural universals. The point is that if methane is an atomic unity, as claimed, it can't have anything 'in common' with its components.
The 'pictorial' view of structural universals says they are wholes made of universals as parts [Lewis]
     Full Idea: On the 'pictorial' conception, a structural universal is isomorphic to its instances. ...It is an individual, a mereological composite, not a set. ...It is composed of simpler universals which are literally parts of it.
     From: David Lewis (Against Structural Universals [1986], 'The pictorial')
     A reaction: I'm not clear why Lewis labels this the 'pictorial' view. His other two views of structural universals are 'linguistic' and 'magical'. The linguistic is obviously wrong, and the magical doesn't sound promising. Must I vote for pictorial?
The structural universal 'methane' needs the universal 'hydrogen' four times over [Lewis]
     Full Idea: What is wrong with the pictorial conception is that if the structural universal 'methane' is to be an isomorph of the molecules that are its instances, it must have the universal 'hydrogen' as a part not just once, but four times over.
     From: David Lewis (Against Structural Universals [1986], 'The pictorial')
     A reaction: The point is that if hydrogen is a universal it must be unique, so there can't be four of them. To me this smacks of the hopeless mess theologians get into, because of bad premisses. Drop universals, and avoid this kind of stuff.
Butane and Isobutane have the same atoms, but different structures [Lewis]
     Full Idea: The stuctural universal 'isobutane' consists of the universal carbon four times over, hydrogen ten times over, and the universal 'bonded' thirteen times over - just like the universal 'butane'.
     From: David Lewis (Against Structural Universals [1986], 'Variants')
     A reaction: The point is that isobutane and butane have the same components in different structures. At least this is Lewis facing up to the problem of the 'flatness' of mereological wholes.
Structural universals have a necessary connection to the universals forming its parts [Lewis]
     Full Idea: There is a necessary connection between the instantiating of a structural universal by the whole and the instantiating of other universals by its parts. We can call the relation 'involvement', a nondescript word.
     From: David Lewis (Against Structural Universals [1986], 'What are')
     A reaction: In the case of a shape, I suppose the composing 'universals' [dunno what they are] will all be essential to the shape - that is, part of the very nature of the thing, loss of which would destroy the identity.
We can't get rid of structural universals if there are no simple universals [Lewis]
     Full Idea: We can't dispense with structural universals if we cannot be sure that there are any simples which can be involved in them.
     From: David Lewis (Against Structural Universals [1986], 'Why believe')
     A reaction: Lewis cites this as Armstrong's strongest reason for accepting structural universals (and he takes their requirement for an account of laws of nature as the weakest). I can't comprehend a world that lacks underlying simplicity.
9. Objects / C. Structure of Objects / 3. Matter of an Object
The matter is a relatively unstructured version of the object, like a set without membership structure [Fine,K]
     Full Idea: The wood is, as it were, a relatively unstructured version of the tree, just as the set {a,b,c,d} is an unstructured counterpart of the set {{a,b},{c,d}}.
     From: Kit Fine (Things and Their Parts [1999], §5)
     A reaction: He is trying to give a modern logicians' account of the Aristotelian concept of 'form' (as applied to matter). It is part of the modern project that objects must be connected to the formalism of mereology or set theory. If it works, are we thereby wiser?
9. Objects / C. Structure of Objects / 5. Composition of an Object
Composition is not just making new things from old; there are too many counterexamples [Lewis]
     Full Idea: Not just any operation that makes new things from old is a form of composition! There is no sense in which my parents are part of me, and no sense in which two numbers are parts of their greatest common factor.
     From: David Lewis (Against Structural Universals [1986], 'Variants')
     A reaction: One of those rare moments when David Lewis seems to have approached a really sensible metaphysics. Further on he rejects all forms of composition apart from mereology.
The many are many and the one is one, so they can't be identical [Lewis]
     Full Idea: What is true of the many is not exactly what is true of the one. After all they are many while it is one. The number of the many is six, whereas the number of the fusion is one. The singletons of the many are distinct from the singleton of the one.
     From: David Lewis (Parts of Classes [1991], 3.6)
     A reaction: I wouldn't take this objection to be conclusive. 'Some pebbles' seem to be many, but a 'handful of pebbles' seem to be one, where the physical situation might be identical. If they are not identical, then the non-identity is purely conceptual.
Lewis affirms 'composition as identity' - that an object is no more than its parts [Lewis, by Merricks]
     Full Idea: Lewis says that the parts of a thing are identical with the whole they compose, calling his view 'composition as identity', which is the claim that a physical object is 'nothing over and above its parts'.
     From: report of David Lewis (Parts of Classes [1991], p.84-7) by Trenton Merricks - Objects and Persons §I.IV
     A reaction: The ontological economy of this view is obviously attractive, but I don't agree with it. You certainly can't say that all identity consists entirely of composition by parts, because the parts need identity to get the view off the ground.
9. Objects / C. Structure of Objects / 6. Constitution of an Object
There is no distinctive idea of constitution, because you can't say constitution begins and ends [Fine,K]
     Full Idea: If the parts of a body can constitute a man, then why should men not constitute a family? Why draw the line at the level of the man? ...Thus the idea of a distinctive notion of constitution, terminating in concrete substances, should be given up.
     From: Kit Fine (Aristotle on Matter [1992], 1)
     A reaction: This is in the context of Aristotle, but Fine's view seems to apply to Rudder Baker's distinctive approach.
Is there a plausible Aristotelian notion of constitution, applicable to both physical and non-physical? [Fine,K]
     Full Idea: There is a question of whether there is a viable conception of constitution of the sort Aristotle supposes, one which is uniformly applicable to physical and non-physical objects alike, and which is capable of hierarchical application.
     From: Kit Fine (Aristotle on Matter [1992], 1)
     A reaction: This is part of an explication of Aristotle's 'matter' [hule], which might be better translated as 'ingredients', which would fit non-physical things quite well.
9. Objects / C. Structure of Objects / 8. Parts of Objects / a. Parts of objects
A 'temporary' part is a part at one time, but may not be at another, like a carburetor [Fine,K]
     Full Idea: First, a thing can be a part in a way that is relative to a time, for example, that a newly installed carburettor is now part of my car, whereas earlier it was not. (This will be called a 'temporary' part).
     From: Kit Fine (Things and Their Parts [1999], Intro)
     A reaction: [Cf Idea 13327 for the 'second' concept of part] I'm immediately uneasy. Being a part seems to be a univocal concept. He seems to be distinguishing parts which are necessary for identity from those which aren't. Fine likes to define by example.
A 'timeless' part just is a part, not a part at some time; some atoms are timeless parts of a water molecule [Fine,K]
     Full Idea: Second, an object can be a part of another in a way that is not relative to time ('timeless'). It is not appropriate to ask when it is a part. Thus pants and jacket are parts of the suit, atoms of a water molecule, and two pints part of a quart of milk.
     From: Kit Fine (Things and Their Parts [1999], Intro)
     A reaction: [cf Idea 13326 for the other concept of 'part'] Again I am uneasy that 'part' could have two meanings. A Life Member is a member in the same way that a normal paid up member is a member.
9. Objects / C. Structure of Objects / 8. Parts of Objects / b. Sums of parts
In mereology no two things consist of the same atoms [Lewis]
     Full Idea: It is a principle of mereology that no two things consist of exactly the same atoms.
     From: David Lewis (Parts of Classes [1991], 2.3)
     A reaction: The problem with this is screamingly obvious - that the same atoms might differ in structure. Lewis did refer to this problem, but seems to try to wriggle out of it, in Idea 15444.
A gerrymandered mereological sum can be a mess, but still have natural joints [Lewis]
     Full Idea: The mereological sum of the coffee in my cup, the ink in this sentence, a nearby sparrow, and my left shoe is a miscellaneous mess of an object, yet its boundaries are by no means unrelated to the joints of nature.
     From: David Lewis (Putnam's Paradox [1984], 'What Might')
     A reaction: In that case they do, but if there are no atoms at the root of physics then presumably their could also be thoroughly jointless assemblages, involving probability distributions etc. Even random scattered atoms seem rather short of joints.
Trout-turkeys exist, despite lacking cohesion, natural joints and united causal power [Lewis]
     Full Idea: A trout-turkey is inhomogeneous, disconnected, not in contrast with its surroundings. It is not cohesive, not causally integrated, not a causal unit in its impact on the rest of the world. It is not carved at the joints. That doesn't affect its existence.
     From: David Lewis (Parts of Classes [1991], 3.5)
     A reaction: A nice pre-emptive strike against all the reasons why anyone might think more is needed for unity than a mereological fusion.
Given cats, a fusion of cats adds nothing further to reality [Lewis]
     Full Idea: Given a prior commitment to cats, a commitment to cat-fusions is not a further commitment. The fusion is nothing over and above the cats that compose it. It just is them. They just are it. Together or separately, the cats are the same portion of Reality.
     From: David Lewis (Parts of Classes [1991], 3.6)
     A reaction: The two extremes of ontology are that there are no objects, or that every combination is an object. Until reading this I thought Lewis was in the second camp, but this sounds like object-nihilism, as in Van Inwagen and Merricks.
The one has different truths from the many; it is one rather than many, one rather than six [Lewis]
     Full Idea: What's true of the many is not exactly what's true of the one. After all they are many while it is one. The number of the many is six, whereas the number of the fusion is one.
     From: David Lewis (Parts of Classes [1991], 3.6)
     A reaction: Together with Idea 15521, this nicely illustrates the gulf between commitment to ontology and commitment to truths. The truths about a fusion change, while its ontology remains the same. Possibly this is the key to all of metaphysics.
An 'aggregative' sum is spread in time, and exists whenever a component exists [Fine,K]
     Full Idea: In the 'aggregative' understanding of a sum, it is spread out in time, so that exists whenever any of its components exists (just as it is located at any time wherever any of its components are located).
     From: Kit Fine (Things and Their Parts [1999], §1)
     A reaction: This works particularly well for something like an ancient forest, which steadily changes its trees. On that view, though, the ship which has had all of its planks replaced will be the identical single sum of planks all the way through. Fine agrees.
An 'compound' sum is not spread in time, and only exists when all the components exists [Fine,K]
     Full Idea: In the 'compound' notion of sum, the mereological sum is spread out only in space, not also in time. For it to exist at a time, all of its components must exist at the time.
     From: Kit Fine (Things and Their Parts [1999], §1)
     A reaction: It is hard to think of anything to which this applies, apart from for a classical mereologist. Named parts perhaps, like Tom, Dick and Harry. Most things preserve sum identity despite replacement of parts by identical components.
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
Lewis prefers giving up singletons to giving up sums [Lewis, by Fine,K]
     Full Idea: In the face of the conflict between mereology and set theory, Lewis has advocated giving up the existence of singletons rather than sums.
     From: report of David Lewis (Parts of Classes [1991]) by Kit Fine - Replies on 'Limits of Abstraction' 1
Mereological composition is unrestricted: any class of things has a mereological sum [Lewis]
     Full Idea: I claim that mereological composition is unrestricted: any old class of things has a mereological sum. Whenever there are some things, even out of different possible worlds, there is something composed of just those things.
     From: David Lewis (On the Plurality of Worlds [1986], 4.3)
     A reaction: To say the least, a rather unusual usage for the English word 'thing'. I presume that Lewis is in the grip of a slippery slope problem - that there is no way to define the borderline between things and non-things. Presumably 'class' is unrestricted too.
There are no restrictions on composition, because they would be vague, and composition can't be vague [Lewis, by Sider]
     Full Idea: Lewis says that if not every class has a fusion then there must be a restriction on composition. The only plausible restrictions would be vague ones, which is impossible, because then whether composition occurs would be vague. So every class has a fusion.
     From: report of David Lewis (On the Plurality of Worlds [1986], p.212-3) by Theodore Sider - Four Dimensionalism 9.1
     A reaction: This is Lewis's key argument in favour of unrestricted composition, his Vagueness Argument. Why can't composition be vague? If you gradually reassemble a broken mirror, at what point does the mirror acquire its unity?
A whole is distinct from its parts, but is not a further addition in ontology [Lewis]
     Full Idea: A whole is an extra item in our ontology only in the minimal sense that it is not identical to any of its proper parts; but it is not distinct from them either, so when we believe in the parts it is no extra burden to believe in the whole.
     From: David Lewis (Against Structural Universals [1986], 'The pictorial')
     A reaction: A little confusing, to be 'not identical' and yet 'not different'. As Lewis says elsewhere, the whole is one, and the parts are not. A crux. Essentialism implies a sort of holism, that parts with a structure constitute a new thing.
Different things (a toy house and toy car) can be made of the same parts at different times [Lewis]
     Full Idea: Different things can be made of the same parts at different times, as when the tinkertoy house is taken apart and put back together as a tinkertoy car.
     From: David Lewis (Against Structural Universals [1986], 'Variants')
     A reaction: More important than it looks! This is Lewis's evasion of the question of the structure of the parts. Times will individuate different structures, but if I take type-identical parts and make a house and a car simultaneously, are they type-identical?
Lewis only uses fusions to create unities, but fusions notoriously flatten our distinctions [Oliver/Smiley on Lewis]
     Full Idea: Lewis employs mereological fusion as his sole method of making one thing out of many, and fusion is notorious for the way it flattens out and thereby obliterates distinctions.
     From: comment on David Lewis (Parts of Classes [1991]) by Oliver,A/Smiley,T - What are Sets and What are they For? 3.1
     A reaction: I take this to be a key point in the discussion of mereology in ontological contexts. As a defender of intrinsic structural essences, I have no use for mereological fusions, and look for a quite different identity for 'wholes'.
A commitment to cat-fusions is not a further commitment; it is them and they are it [Lewis]
     Full Idea: Given a prior commitment to cats, a commitment to cat-fusions is not a further commitment. The fusion is nothing over and above the cats that compose it. It just is them. They just are it.
     From: David Lewis (Parts of Classes [1991], p.81), quoted by Achille Varzi - Mereology 4.3
     A reaction: I take this to make Lewis a nominalist, saying the same thing that Goodman said about Utah in Idea 10657. Any commitment to cat-fusions being more than the cats, or Utah being more than its counties, strikes me as crazy.
I say that absolutely any things can have a mereological fusion [Lewis]
     Full Idea: I accept the principle of Unrestricted Composition: whenever there are some things, no matter how many or how unrelated or how disparate in character they may be, they have a mereological fusion. ...The trout-turkey is part fish and part fowl.
     From: David Lewis (Mathematics is Megethology [1993], p.07)
     A reaction: This nicely ducks the question of when things form natural wholes and when they don't, but I would have thought that that might be one of the central issues of metaphysicals, so I think I'll give Lewis's principle a miss.
Two sorts of whole have 'rigid embodiment' (timeless parts) or 'variable embodiment' (temporary parts) [Fine,K]
     Full Idea: I develop a version of hylomorphism, in which the theory of 'rigid embodiment' provides an account of the timeless relation of part, and the theory of 'variable embodiment' is an account of the temporary relation. We must accept two new kinds of whole.
     From: Kit Fine (Things and Their Parts [1999], Intro)
     A reaction: [see Idea 13326 and Idea 13327 for the two concepts of 'part'] This is easier to take than the two meanings for 'part'. Since Aristotle, everyone has worried about true wholes (atoms, persons?) and looser wholes (houses).
9. Objects / D. Essence of Objects / 1. Essences of Objects
Aristotelian essentialism says essences are not relative to specification [Lewis]
     Full Idea: So-called 'Aristotelian essentialism' is the doctrine of essences not relative to specifications.
     From: David Lewis (Counterpart theory and Quant. Modal Logic [1968], III)
     A reaction: In other words, they are so-called 'real essences', understood as de re. Quine says essences are all de dicto, and relative to some specification. I vote for Aristotle.
Can the essence of an object circularly involve itself, or involve another object? [Fine,K]
     Full Idea: Can the essence of an object (ineliminably) involve that object itself (perhaps through self-identity, giving a direct circularity), or have an indirect circularity involving two or more objects (such as admiration between Watson and Holmes).
     From: Kit Fine (Senses of Essence [1995], §7)
     A reaction: [compressed] This looks like one of the basic questions which any theory of essentialism must address.
9. Objects / D. Essence of Objects / 2. Types of Essence
How do we distinguish basic from derived esssences? [Fine,K]
     Full Idea: How and where are we to draw the line between what is basic to the essence and what is derived?
     From: Kit Fine (Ontological Dependence [1995], II)
     A reaction: He calls the basic essence 'constitutive' and the rest the 'consequential' essence. This question is obviously very challenging for the essentialist. See Idea 22.
Essences are either taken as real definitions, or as necessary properties [Fine,K]
     Full Idea: Essence has been conceived either on the model of definition, involving the 'real' as opposed to 'nominal' definitions, or it is elucidated in modal terms, located in de re cases of modal attributions (an object being necessarily a certain way).
     From: Kit Fine (Essence and Modality [1994], p. 2)
     A reaction: [compressed] Fine sets out to defend the definitional view, which derives from Aristotle, his line being that necessity depends on essence, and so cannot be used to define it. I think I agree.
Maybe some things have essential relationships as well as essential properties [Fine,K]
     Full Idea: It is natural to suppose, in the case of such objects as Wooster and Jeeves, that in addition to possessing constitutive essential properties they will also enter into constitutive essential relationships.
     From: Kit Fine (Ontological Dependence [1995], III)
     A reaction: I like this. If we are going to have scientific essences as structures of intrinsic powers, then the relationships between the parts of the essence must also be essential. That is the whole point - that the powers dictate the relationships.
9. Objects / D. Essence of Objects / 3. Individual Essences
Being a man is a consequence of his essence, not constitutive of it [Fine,K]
     Full Idea: If we distinguish 'constitutive' from 'consequential' essence, ..then the essence of Socrates will, in part, be constituted by his being a man. But being a man (or a mountain) will merely be consequential upon, and not constitutive of, his essence.
     From: Kit Fine (Senses of Essence [1995], §3)
     A reaction: Yes yes yes. I think it is absurd to say that the class to which something belongs is part of its essential nature, given that it presumably can only belong to the class if it already has a certain essential nature. What did Frankenstein construct?
9. Objects / D. Essence of Objects / 4. Essence as Definition
If there are alternative definitions, then we have three possibilities for essence [Fine,K]
     Full Idea: If there are alternative definitions for an essence, we must distinguish three notions. There is the essence as the manifold (the combined definitions), or as the range of alternative definitions (with component essences), or there is the common essence.
     From: Kit Fine (Senses of Essence [1995], §8)
     A reaction: Fine opts for the third alternative (what the definitions all have in common) as the best account. He says (p.68) 'definitive' properties come from one definition, and 'essential' properties from every possible definition.
An object only essentially has a property if that property follows from every definition of the object [Fine,K]
     Full Idea: We can say that an object essentially has a certain property if its having that property follows from every definition of the object, while an object will definitively have a given property if its having that property follows from some definition of it.
     From: Kit Fine (Ontological Dependence [1995], III)
     A reaction: Presumably that will be every accurate definition. This nicely allows for the fact that at least nominal definitions may not be unique, and there is even room for real definitions not to be fully determinate (thus, how far should they extend?).
9. Objects / D. Essence of Objects / 6. Essence as Unifier
Essentially having a property is naturally expressed as 'the property it must have to be what it is' [Fine,K]
     Full Idea: We have an informal way of saying an object essentially has a property, as 'the object must have the property if it is to be the object that it is', and this form of words manages to convey what we wish to convey.
     From: Kit Fine (Essence and Modality [1994], p. 4)
     A reaction: The importance of this claim is that it makes no mention of 'necessity'. Fine's view is plausible, but hard to evaluate once he has said. We seem to then divide an object's properties into identity properties, causal properties and peripheral properties.
What it is is fixed prior to existence or the object's worldly features [Fine,K]
     Full Idea: The identity of an object - what it is - is not a worldly matter; essence will precede existence in that the identity of an object may be fixed by its unworldly features even before any question of its existence or other worldly features is considered.
     From: Kit Fine (Necessity and Non-Existence [2005], Intro)
     A reaction: I'm not clear how this cashes out. If I remove the 'worldly features' of an object, what is there left which establishes identity? Fine carefully avoids talk of 'a priori' knowledge of identity.
9. Objects / D. Essence of Objects / 7. Essence and Necessity / a. Essence as necessary properties
Simple modal essentialism refers to necessary properties of an object [Fine,K]
     Full Idea: The simplest form of the modal account takes an object to have a property essentially just in case it is necessary that the object has the property.
     From: Kit Fine (Essence and Modality [1994], p. 3)
     A reaction: Fine wants to reverse the account, explaining necessities in terms of prior essences.
An essential property is one possessed by all counterparts [Lewis, by Elder]
     Full Idea: For Lewis, if a property possessed by a given individual or kind is missing in some of the contextually relevant counterparts, that property is accidental to the individual or kind; if it is possessed by all of them, that property is essential.
     From: report of David Lewis (On the Plurality of Worlds [1986], 248-263) by Crawford L. Elder - Real Natures and Familiar Objects 1.4
     A reaction: This is a sophisticated version of the idea that essential properties are just necessary properties. It might make sense with a very sparse view of properties (mainly causal ones), but I think of essences as quite different from necessities.
Essentialist claims can be formulated more clearly with quantified modal logic [Fine,K]
     Full Idea: With the advent of quantified modal logic, philosophers have been in a better position to formulate essentialist claims.
     From: Kit Fine (Essence and Modality [1994], p. 3)
     A reaction: A nice illustration of the role which logic plays in modern analytic philosophy. It is not an unreasonable assumption that we will understand a theoretical problem more clearly if we can articulate it more accurately.
9. Objects / D. Essence of Objects / 7. Essence and Necessity / b. Essence not necessities
Metaphysical necessity is a special case of essence, not vice versa [Fine,K]
     Full Idea: Far from viewing essence as a special case of metaphysical necessity, we should view metaphysical necessity as a special case of essence.
     From: Kit Fine (Essence and Modality [1994], p. 9)
     A reaction: This strikes me as one of the most powerful proposals in modern philosophy (even if it is a reiteration of Aristotle!).
Essence as necessary properties produces a profusion of essential properties [Fine,K, by Lowe]
     Full Idea: If an essence is a sum of essential properties (had in all possible worlds where it exists), Fine points out that it seems grossly to overgenerate essential properties ('S is either a man or a mouse', or 'S is such that 2+2=4').
     From: report of Kit Fine (Essence and Modality [1994]) by E.J. Lowe - What is the Source of Knowledge of Modal Truths? 6
     A reaction: To me this is the sort of mess you get into when you accept that 'being such that p' is a property. Defenders of the modal approach always have to eliminate 'trivial' properties from essences, but non-trivial is a defining feature of an essence.
The nature of singleton Socrates has him as a member, but not vice versa [Fine,K]
     Full Idea: Can we not recognise a sense of 'what an object is', according to which it lies in the nature of a singleton to have Socrates as a member, even though it does not lie in the nature of Socrates to belong to the singleton?
     From: Kit Fine (Essence and Modality [1994], p. 5)
     A reaction: Important and persuasive. It echoes the example in Idea 11162, that the necessary relation is not part of the essence. Socrates is necessarily in {Socrates}, but that is because of the set, not because of Socrates. Essences causes necessities.
It is not part of the essence of Socrates that a huge array of necessary truths should hold [Fine,K]
     Full Idea: Necessarily any necessary truth will hold if Socrates exists. But it is no part of Socrates' essence that there be infinitely many prime numbers, ..or that objects like the Eiffel Tower have their own necessary essence.
     From: Kit Fine (Essence and Modality [1994], p. 5-6)
     A reaction: This and the 'singleton Socrates' example (Idea 11165) are the twin prongs of Fine's attack on the modal account of essentialism. I think they constitute one of the best single pages in the whole of recent philosophy. Bravo.
We must distinguish between the identity or essence of an object, and its necessary features [Fine,K]
     Full Idea: The failure to distinguish between the identity or essence of an object and its necessary features is an instance of what we may call 'modal mania'.
     From: Kit Fine (Intro to 'Modality and Tense' [2005], p. 9)
     A reaction: He blames Kripke's work for modal mania, a reaction to Quine's 'contempt' for modal notions. I don't actually understand Fine's remark (yet), but it strikes me as incredibly important! Explanations by email, please.
9. Objects / D. Essence of Objects / 8. Essence as Explanatory
An essential property of something must be bound up with what it is to be that thing [Fine,K, by Rami]
     Full Idea: Fine's view is that the notion of an essential property of a thing should be bound up with the notion of what it is to be that thing (unlike, for example, Socrates being such that there are infinitely many primes).
     From: report of Kit Fine (Essence and Modality [1994]) by Adolph Rami - Essential vs Accidental Properties §2
     A reaction: I would think that Fine is so obviously right that it was hardly worth saying, but philosophers are a funny lot, and are quite likely to claim that features of prime numbers are part of the essence of a long-dead philosopher.
9. Objects / D. Essence of Objects / 9. Essence and Properties
Essential properties are part of an object's 'definition' [Fine,K, by Rami]
     Full Idea: According to Fine's definitional characterization of essential properties, they are those of an object's properties that are part of the object's 'definition'.
     From: report of Kit Fine (Essence and Modality [1994]) by Adolph Rami - Essential vs Accidental Properties §2
     A reaction: This demands not just an account of what a definition is, but also the notion that there is only one fixed and correct definition (since the object presumably only has one essence) - but there seems to be something relative about a good definition.
Essential features of an object have no relation to how things actually are [Fine,K]
     Full Idea: It is the core essential features of the object that will be independent of how things turn out, and they will be independent in the sense of holding regardless of circumstances, not whatever the circumstances.
     From: Kit Fine (Necessity and Non-Existence [2005], 09)
     A reaction: The distinction at the end seems to be that 'regardless' pays no attention to circumstances, whereas 'whatever' pays attention to all circumstances. In other words, essence has no relationship to how things are. Plausible. Nice to see 'core'.
9. Objects / E. Objects over Time / 1. Objects over Time
A thing 'perdures' if it has separate temporal parts, and 'endures' if it is wholly present at different times [Lewis]
     Full Idea: Something 'perdures' iff it persists by having different temporal parts, or stages, at different times, though no one part of it is wholly present at more than one time; whereas it 'endures' iff it persists by being wholly present at more than one time.
     From: David Lewis (On the Plurality of Worlds [1986], 4.2)
     A reaction: Only a philosopher would come up with a concept like perdurance. I'm thinking about this one, and will get back to you in a later-numbered idea... He compares perdurance to the way a road persists through space.
9. Objects / E. Objects over Time / 2. Objects that Change
Properties cannot be relations to times, if there are temporary properties which are intrinsic [Lewis, by Sider]
     Full Idea: The problem of 'temporary intrinsics' is that in one model we think of properties as relations to times (I am 'bent' relative to now), but change sometime involves intrinsic properties. I am just plain bent, not bent with respect to something else.
     From: report of David Lewis (On the Plurality of Worlds [1986], p.202-4) by Theodore Sider - Four Dimensionalism
     A reaction: [I've compressed Sider's summary] The question of whether intrinsic properties endure over time runs in parallel with the question of whether objects endure over time, and the two issues cannot be separated.
9. Objects / E. Objects over Time / 3. Three-Dimensionalism
Endurance is the wrong account, because things change intrinsic properties like shape [Lewis]
     Full Idea: The principal and decisive objection to endurance, as an account of the persistence of ordinary things, is the problem of temporary intrinsics. Persisting things change their intrinsic properties, such as their shape. My own shape keeps changing.
     From: David Lewis (On the Plurality of Worlds [1986], 4.2)
     A reaction: Presumably if something was going to endure through time it would need a shape. If it has no particular shape, it lacks identity? Lewis discusses the problem at length. Why is a precise shape essential to anything?
There are three responses to the problem that intrinsic shapes do not endure [Lewis]
     Full Idea: The problem for the endurance view of temporary intrinsic properties like shape is met be either saying shape is a disguised relational property, or only present properties are intrinsic, or the shapes belong to different things (perdurance).
     From: David Lewis (On the Plurality of Worlds [1986], 4.2)
     A reaction: [compressed] It is certainly implausible to deny that shape is a feature of all physical objects. Or it appears to be. Shapes are hard to pin down at the quantum level. How do you sharply divide moments for the perdurance view? ...
3-D says things are stretched in space but not in time, and entire at a time but not at a location [Fine,K]
     Full Idea: Three-dimensionalist think a thing is somehow 'stretched out' through its location at a given time though not through the period during which it exists, and it is present in its entirety at a moment when it exists though not at a position of its location.
     From: Kit Fine (In Defence of Three-Dimensionalism [2006], p.1)
     A reaction: This definition is designed to set up Fine's defence of the 3-D view, by showing that various dubious asymmetries show up if you do not respect the distinctions offered by the 3-D view.
Genuine motion, rather than variation of position, requires the 'entire presence' of the object [Fine,K]
     Full Idea: In order to have genuine motion, rather than mere variation in position, it is necessary that the object should be 'entirely present' at each moment of the change. Thus without entire presence, or existence, genuine motion will not be possible.
     From: Kit Fine (In Defence of Three-Dimensionalism [2006], p.6)
     A reaction: See Idea 4786 for a rival view of motion. Of course, who says we have to have Kit Fine's 'genuine' motion, if some sort of ersatz motion still gets you to work in the morning?
9. Objects / E. Objects over Time / 4. Four-Dimensionalism
4-D says things are stretched in space and in time, and not entire at a time or at a location [Fine,K]
     Full Idea: Four-dimensionalists have thought that a material thing is as equally 'stretched out' in time as it is in space, and that there is no special way in which it is entirely present at a moment rather than at a position.
     From: Kit Fine (In Defence of Three-Dimensionalism [2006], p.1)
     A reaction: Compare his definition of 3-D in Idea 12295. The 4-D is contrary to our normal way of thinking. Since I don't think the future exists, I presume that if I am a 4-D object then I have to say that I don't yet exist, and I disapprove of such talk.
You can ask when the wedding was, but not (usually) when the bride was [Fine,K, by Simons]
     Full Idea: Fine says it is acceptable to ask when a wedding was and where it was, and it is acceptable to ask or state where the bride was (at a certain time), but not when she was.
     From: report of Kit Fine (In Defence of Three-Dimensionalism [2006], p.18) by Peter Simons - Modes of Extension: comment on Fine p.18
     A reaction: This is aimed at three-dimensionalists who seem to think that a bride is a prolonged event, just as a wedding is. Fine is, interestingly, invoking ordinary language. When did the wedding start and end? When was the bride's birth and death?
9. Objects / E. Objects over Time / 5. Temporal Parts
Three-dimensionalist can accept temporal parts, as things enduring only for an instant [Fine,K]
     Full Idea: Even if one is a three-dimensionalist, one might affirm the existence of temporal parts, on the grounds that everything merely endures for an instant.
     From: Kit Fine (In Defence of Three-Dimensionalism [2006], p.2)
     A reaction: This seems an important point, as belief in temporal parts is normally equated with four-dimensionalism (see Idea 12296). The idea is that a thing might be 'entirely present' at each instant, only to be replaced by a simulacrum.
Even a three-dimensionalist might identify temporal parts, in their thinking [Fine,K]
     Full Idea: Even the three-dimensionalist might be willing to admit that material things have temporal parts. For given any persisting object, he might suppose that 'in thought' we could mark out its temporal segments or parts.
     From: Kit Fine (Guide to Ground [2012], 1.02)
     A reaction: A big problem with temporal parts is how thin they are. Hawley says they are as fine-grained as time itself, but what if time has no grain? How thin can you 'think' a temporal part to be? Fine says imagined parts are grounded in things, not vice versa.
9. Objects / E. Objects over Time / 12. Origin as Essential
If Socrates lacks necessary existence, then his nature cannot require his parents' existence [Fine,K]
     Full Idea: If there is nothing in the nature of Socrates which demands that he exists, then presumably there is nothing in the nature of Socrates which demands that his parents exist.
     From: Kit Fine (Essence and Modality [1994], p. 6)
     A reaction: This sounds conclusive to me, against any claim that Socrates necessarily had those parents, if the claim is based on the identity or esssence of Socrates.
I can ask questions which create a context in which origin ceases to be essential [Lewis]
     Full Idea: If I ask how things would be if Saul Kripke had come from no sperm and egg, but was brought by a stork, that makes sense. I create a context that makes my question make sense, which is a context that makes origin not to be essential.
     From: David Lewis (On the Plurality of Worlds [1986], 4.5)
     A reaction: I'm not clear why delivery by a stork doesn't just count as a different origin, and hence it turns out to be essential to Kripke. If Kripke were a necessary being (and he's a good candidate), then he would have no origin.
9. Objects / F. Identity among Objects / 1. Concept of Identity
I can only represent individuals as the same if I do not already represent them as the same [Fine,K]
     Full Idea: I can only represent two individuals as being the same if I do not already represent them as the same.
     From: Kit Fine (Semantic Relationism [2007], 3.A)
     A reaction: A very nice simple point. If I say 'Hesperus is Hesperus' I am unable to comment on the object, but 'Hesperus is Phosphorus' has a different expressive power. Start from contexts where it is necessary to say that two things are actually one.
9. Objects / F. Identity among Objects / 5. Self-Identity
Identity is simple - absolutely everything is self-identical, and nothing is identical to another thing [Lewis]
     Full Idea: Identity is utterly simple and unproblematic. Everything is identical to itself; nothing is ever identical to anything except itself. There is never any problem about what makes something identical to itself; nothing can ever fail to be.
     From: David Lewis (On the Plurality of Worlds [1986], 4.1)
     A reaction: I have great problems with expressing this concept as a thing being 'identical to itself'. I will always say that it 'has an identity'. But then it is problematical, because what constitutes an identity? When do dispersing clouds lose it?
Self-identity should have two components, its existence, and its neutral identity with itself [Fine,K]
     Full Idea: The existential identity of an object with itself needs analysis into two components, one the neutral identity of the object with itself, and the other its existence. The existence of the object appears to be merely a gratuitous addition to its identity.
     From: Kit Fine (Necessity and Non-Existence [2005], 08)
     A reaction: This is at least a step towards clarification of the notion, which might be seen as just a way of asserting that something 'has an identity'. Fine likes the modern Fregean way of expressing this, as an equality relation.
If Cicero=Tully refers to the man twice, then surely Cicero=Cicero does as well? [Fine,K]
     Full Idea: 'Cicero=Cicero' and 'Cicero=Tully' are both dyadic predications. It is unnatural to suppose that the use of the same name converts a dyadic predicate into a reflexive predicate, or that there is one reference to Cicero in the first and two in the second.
     From: Kit Fine (Semantic Relationism [2007], 3.A)
     A reaction: I am deeply suspicious of the supposed 'property' of being self-identical, but that may not deny that it could be a genuine truth (shorthand for 'the C you saw is the same as the C I saw'). Having an identity makes equality with self possible.
9. Objects / F. Identity among Objects / 6. Identity between Objects
Two things can never be identical, so there is no problem [Lewis]
     Full Idea: There is never any problem about what makes two things identical; two things can never be identical.
     From: David Lewis (On the Plurality of Worlds [1986], 4.1)
     A reaction: This expresses Lewis's preference for usage of the word 'identity', rather than a simple solution. It pays no attention to type-identity, which is an obvious phenomenon. In some sense, it is just obvious that two electrons are 'identical'.
We would understand identity between objects, even if their existence was impossible [Fine,K]
     Full Idea: If there were impossible objects, ones that do not possibly exist, we would have no difficulty in understanding what it is for such objects to be identical or distinct than in the case of possible objects.
     From: Kit Fine (Necessity and Non-Existence [2005], 08)
     A reaction: Thus, a 'circular square' seems to be the same as a 'square circle'. Fine is arguing for identity to be independent of any questions of existence.
10. Modality / A. Necessity / 3. Types of Necessity
The three basic types of necessity are metaphysical, natural and normative [Fine,K]
     Full Idea: There are three basic forms of necessity - the metaphysical (sourced in the identity of objects); natural necessity (in the 'fabric' of the universe); and normative necessity (in the realm of norms and values).
     From: Kit Fine (Intro to 'Modality and Tense' [2005], p. 7)
     A reaction: Earlier he has allowed, as less 'basic', logical necessity (in logical forms), and analytic necessity (in meaning). Fine insists that the three kinds should be kept separate (so no metaphysical necessities about nature). I resent this.
10. Modality / A. Necessity / 4. De re / De dicto modality
De re modal predicates are ambiguous [Lewis, by Rudder Baker]
     Full Idea: Lewis is perhaps the most prominent proponent of the view that de re modal predicates are ambiguous.
     From: report of David Lewis (Survival and Identity, with postscript [1983]) by Lynne Rudder Baker - Why Constitution is not Identity n25
10. Modality / A. Necessity / 5. Metaphysical Necessity
Metaphysical necessity may be 'whatever the circumstance', or 'regardless of circumstances' [Fine,K]
     Full Idea: There are two fundamental ways in which a property may be metaphysically necessary: it may be a worldly necessity, true whatever the circumstances; or it may be a transcendent necessity, true regardless of the circumstances.
     From: Kit Fine (Intro to 'Modality and Tense' [2005], p.10)
     A reaction: [See Fine's 'Necessity and Non-Existence' for further details] The distinction seems to be that the first sort needs some circumstances (e.g. a physical world?), whereas the second sort doesn't (logical relations?). He also applies it to existence.
10. Modality / A. Necessity / 7. Natural Necessity
Causal necessities hold in all worlds compatible with the laws of nature [Lewis]
     Full Idea: Just as a sentence is necessary if it holds in all worlds, so it is causally necessary if it holds in all worlds compatible with the laws of nature.
     From: David Lewis (Counterpart theory and Quant. Modal Logic [1968], V)
     A reaction: I don't believe in the so-called 'laws of nature', so I'm not buying that. Is there no distinction in Lewis's view between those sentences which must hold, and those which happen to hold universally?
10. Modality / A. Necessity / 8. Transcendental Necessity
Proper necessary truths hold whatever the circumstances; transcendent truths regardless of circumstances [Fine,K]
     Full Idea: We distinguish between the necessary truths proper, those that hold whatever the circumstances, and the transcendent truths, those that hold regardless of the circumstances.
     From: Kit Fine (Necessity and Non-Existence [2005], Intro)
     A reaction: Fine's project seems to be dividing the necessities which derive from essence from the necessities which tended to be branded in essentialist discussions as 'trivial'.
10. Modality / A. Necessity / 11. Denial of Necessity
Empiricists suspect modal notions: either it happens or it doesn't; it is just regularities. [Fine,K]
     Full Idea: Empiricists have always been suspicious of modal notions: the world is an on-or-off matter - either something happens or it does not. ..Empiricists, in so far as they have been able to make sense of modality, have tended to see it as a form of regularity.
     From: Kit Fine (Intro to 'Modality and Tense' [2005], p. 1)
     A reaction: Fine is discussing the two extreme views of Quine and Lewis. It is one thing to have views about what is possible, and another to include possibilities 'in your ontology'. Our imagination competes with our extrapolations from actuality.
10. Modality / B. Possibility / 1. Possibility
Possible states of affairs are not propositions; a proposition can't be a state of affairs! [Fine,K]
     Full Idea: Possible states of affairs have often been taken to be propositions, but this cannot be correct, since any possible state of affairs is possibly a state of affairs, but no proposition is possibly a state of affairs.
     From: Kit Fine (The Problem of Possibilia [2003], 2)
     A reaction: The point is, presumably, that the state of affairs cannot be the proposition itself, but (at least) what the proposition refers to. I can't see any objection to that.
10. Modality / B. Possibility / 7. Chance
We can explain a chance event, but can never show why some other outcome did not occur [Lewis]
     Full Idea: I think we are right to explain chance events, yet we are right also to deny that we can ever explain why a chance process yields one outcome rather than another. We cannot explain why one event happened rather than the other.
     From: David Lewis (Causal Explanation [1986], VI)
     A reaction: This misses out an investigation which slowly reveals that a 'chance' event wasn't so chancey after all. Failure to explain confirms chance, so the judgement of chance shouldn't block attempts to explain.
10. Modality / B. Possibility / 8. Conditionals / a. Conditionals
A conditional probability does not measure the probability of the truth of any proposition [Lewis, by Edgington]
     Full Idea: Lewis was first to prove this remarkable result: there is no proposition A*B such that, in all probability distributions, p(A*B) = pA(B) [second A a subscript]. A conditional probability does not measure the probability of the truth of any proposition.
     From: report of David Lewis (Probabilities of Conditionals [1976]) by Dorothy Edgington - Conditionals (Stanf) 3.1
     A reaction: The equation says the probability of the combination of A and B is not always the same as the probability of B given A. Bennett refers to this as 'The Equation' in the theory of conditionals. Edgington says a conditional is a supposition and a judgement.
10. Modality / B. Possibility / 8. Conditionals / c. Truth-function conditionals
Lewis says indicative conditionals are truth-functional [Lewis, by Jackson]
     Full Idea: Unlike Stalnaker, Lewis holds that indicative conditionals have the truth conditions of material conditionals.
     From: report of David Lewis (Counterfactuals [1973]) by Frank Jackson - Conditionals 'Further'
     A reaction: Thus Lewis only uses the possible worlds account for subjunctive conditionals, where Stalnaker uses it for both. Lewis is defending the truth-functional account for the indicative conditionals.
10. Modality / B. Possibility / 9. Counterfactuals
In good counterfactuals the consequent holds in world like ours except that the antecedent is true [Lewis, by Horwich]
     Full Idea: According to Lewis, a counterfactual holds when the consequent is true in possible worlds very like our own except for the fact that the antecedent is true.
     From: report of David Lewis (Counterfactuals [1973]) by Paul Horwich - Lewis's Programme p.213
     A reaction: Presumably the world being very like our own would make it unlikely that there would be anything else to cause the consequent, apart from the counterfactual antecedent.
For true counterfactuals, both antecedent and consequent true is closest to actuality [Lewis]
     Full Idea: A counterfactual is non-vacuously true iff it takes less of a departure from actuality to make the consequent true along with the antecedent than it does to make the antecedent true without the consequent.
     From: David Lewis (Causation [1973], p.197)
     A reaction: Almost every theory proposed by Lewis hangs on the meaning of the word 'close', as used here. If you visited twenty Earth-like worlds (watch Startrek?), it would be a struggle to decide their closeness to ours in rank order.
Backtracking counterfactuals go from supposed events to their required causal antecedents [Lewis]
     Full Idea: 'Backtracking' counterfactual reasoning runs from a counterfactually supposed event to the causal antecedents it would have to have had.
     From: David Lewis (Finkish dispositions [1997], I)
     A reaction: Why not call it a 'transcendental' counterfactual? Presumably you go thisworld>> counterfactualevent>> worldneededtocauseit. It conjures up two possible worlds instead of one.
10. Modality / C. Sources of Modality / 1. Sources of Necessity
Every necessary truth is grounded in the nature of something [Fine,K]
     Full Idea: It might be held as a general thesis that every necessary truth is grounded in the nature of certain items.
     From: Kit Fine (Guide to Ground [2012], 1.11)
     A reaction: [He cites his own 1994 for this] I'm not sure if I can embrace the 'every' in this. I would only say, more cautiously, that I can only make sense of necessity claims when I see their groundings - and I don't take a priori intuition as decent grounding.
The role of semantic necessity in semantics is like metaphysical necessity in metaphysics [Fine,K, by Hale/Hoffmann,A]
     Full Idea: Fine's paper argues that the notion of semantic necessity has a role to play in understanding the nature and content of semantics comparable to the role of metaphysical necessity in metaphysics.
     From: report of Kit Fine (Semantic Necessity [2010]) by Bob Hale/ Aviv Hoffmann - Introduction to 'Modality' 2
The subject of a proposition need not be the source of its necessity [Fine,K]
     Full Idea: We naturally suppose, if a subject-predicate proposition is necessary, that the subject of the proposition is the source of the necessity. But that singleton 2 contains 2 is necessary, whether the number or the set is the subject of the proposition.
     From: Kit Fine (Essence and Modality [1994], p. 9)
     A reaction: A very nice addition to his general attack on the idea that essence should be accounted for in terms of his necessity. He asks a beautifully simple question: for each necessity that we accept, what is the source of that necessity?
Each area of enquiry, and its source, has its own distinctive type of necessity [Fine,K]
     Full Idea: The three sources of necessity - the identity of things, the natural order, and the normative order - have their own peculiar forms of necessity. The three main areas of human enquiry - metaphysics, science and ethics - each has its own necessity.
     From: Kit Fine (The Varieties of Necessity [2002], 6)
     A reaction: I would treat necessity in ethics with caution, if it is not reducible to natural or metaphysical necessity. Fine's proposal is interesting, but I did not find it convincing, especially in its view that metaphysical necessity doesn't intrude into nature.
Each basic modality has its 'own' explanatory relation [Fine,K]
     Full Idea: I am inclined to the view that ....each basic modality should be associated with its 'own' explanatory relation.
     From: Kit Fine (Guide to Ground [2012], 1.01)
     A reaction: He suggests that 'grounding' connects the various explanatory relations of the different modalities. I like this a lot. Why assert any necessity without some concept of where the necessity arises, and hence where it is grounded? You've got to eat.
10. Modality / C. Sources of Modality / 4. Necessity from Concepts
Conceptual necessities rest on the nature of all concepts [Fine,K]
     Full Idea: Conceptual (and logical) necessities can be taken to be the propositions which are true in virtue of the nature of all concepts (or just the logical concepts).
     From: Kit Fine (Essence and Modality [1994], p. 9-10)
     A reaction: The idea that something might be true simply because of the nature of a concept sounds good, and a slightly better formulation than traditional accounts of analytic truth.
10. Modality / C. Sources of Modality / 6. Necessity from Essence
Socrates is necessarily distinct from the Eiffel Tower, but that is not part of his essence [Fine,K]
     Full Idea: It is necessary that Socrates and the Eiffel Tower be distinct. But it is not essential to Socrates that he be distinct from the Tower, for there is nothing in his nature which connects him in any special way to it.
     From: Kit Fine (Essence and Modality [1994], p. 5)
     A reaction: I find this simple argument very persuasive in separating out necessary facts about an object from the essence of that object.
Metaphysical necessities are true in virtue of the nature of all objects [Fine,K]
     Full Idea: The metaphysically necessary truths can be identified with the propositions which are true in virtue of the nature of all objects whatever.
     From: Kit Fine (Essence and Modality [1994], p. 9)
     A reaction: This is part of Fine's proposal that necessities are derived from the essences or natures of things, which view I find very congenial.
It is the nature of Socrates to be a man, so necessarily he is a man [Fine,K]
     Full Idea: It is of the nature of Socrates to be a man; and from this it appears to follow that necessarily he is a man.
     From: Kit Fine (Necessity and Non-Existence [2005], 04)
     A reaction: I'm always puzzled by this line of thought, because it is only the intrinsic nature of beings like Socrates which decides in the first place what a 'man' is. How can something help to create a category, and then necessarily belong to that category?
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / b. Conceivable but impossible
The impossible can be imagined as long as it is a bit vague [Lewis]
     Full Idea: Imaginability is a poor criterion of possibility. We can imagine the impossible provided we do not imagine it in perfect detail and all the time.
     From: David Lewis (On the Plurality of Worlds [1986], 1.8)
     A reaction: In general I agree, but Williamson nicely opposes this view. The fact is that we derive most of our understanding of what is possible from imagination. We just have to realise that we can get it wrong, and so must attend to detail.
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
There are no free-floating possibilia; they have mates in a world, giving them extrinsic properties [Lewis]
     Full Idea: There are no free-floating possibilia. Every possibility is part of a world - exactly one world - and thus comes surrounded by worldmates, and fully equipped with extrinsic properties in virtue of its relations to them.
     From: David Lewis (On the Plurality of Worlds [1986], 4.4)
     A reaction: This is a key claim in the possible worlds understanding of modality, contrary to the more common sense and normal language claim that a possibility is an isolated thing.
10. Modality / E. Possible worlds / 1. Possible Worlds / b. Impossible worlds
On mountains or in worlds, reporting contradictions is contradictory, so no such truths can be reported [Lewis]
     Full Idea: To tell the alleged truth about contradictory things that happen on a mountain is just contradicting yourself, but you can't tell the truth by contradicting yourself. There is no mountain where contradictions are true, and impossible worlds are no better.
     From: David Lewis (On the Plurality of Worlds [1986], 1.2 n3)
     A reaction: [compressed] He says this works for any 'restricted' domain like a mountain or a real world, but that it wouldn't apply in an unrestricted fictional world.
Possible worlds can contain contradictions if such worlds are seen as fictions [Lewis]
     Full Idea: If worlds were like stories or story-tellers, there would indeed be room for worlds according to which contradictions are true.
     From: David Lewis (On the Plurality of Worlds [1986], 1.2 n3)
     A reaction: Most existing fictions contain tiny contradictions, but we might ask whether that thereby disqualifies them from depicting genuinely 'possible' worlds.
10. Modality / E. Possible worlds / 1. Possible Worlds / c. Possible worlds realism
For Lewis there is no real possibility, since all possibilities are actual [Oderberg on Lewis]
     Full Idea: Lewis-style modal realism eliminates all real possibility since on his account everything is actual relative to its own world.
     From: comment on David Lewis (On the Plurality of Worlds [1986]) by David S. Oderberg - Real Essentialism 6.2
     A reaction: Since it is possible for me to be in New York and in Chicago, but not both at once, his possibilities have to be kept apart, even though they are actual. I expect my visit to Chicago to remain as only a possibility.
Lewis posits possible worlds just as Quine says that physics needs numbers and sets [Lewis, by Sider]
     Full Idea: Lewis's argument for possible worlds parallels Quine's for the existence of sets: our best overall empirical theory, mathematical physics, quantifies over real numbers, so we have reason to posit real numbers, or the sets to which they may be reduced.
     From: report of David Lewis (On the Plurality of Worlds [1986]) by Theodore Sider - Reductive Theories of Modality 3.6
     A reaction: They both strike me as suspect. Indeed, the extreme implausibility of Lewis's conclusion throws doubt on Quine's original strategy. I'm happy to work with sets and possible worlds, and only worry about ontological commitment at a later stage.
For me, all worlds are equal, with each being actual relative to itself [Lewis]
     Full Idea: For me, all the worlds are on an equal footing in that each is actual relative to itself and none is actual relative to any other.
     From: David Lewis (On the Plurality of Worlds [1986], 3.1)
     A reaction: Lewis says the world we call 'actual' is simply a matter of how our indexicals refer. That sounds the wrong way round to me (as so often with Lewis).
If possible worlds really exist, then they are part of actuality [Sider on Lewis]
     Full Idea: The familiar complaint against Lewis is that if his worlds existed, they'd be part of actuality.
     From: comment on David Lewis (On the Plurality of Worlds [1986]) by Theodore Sider - Writing the Book of the World 11.5
     A reaction: Sider presents that as rather superficial, but it sounds a pretty good objection to me. Lewis would note that only our world has the indexical features which he says pick out actuality. Real possible worlds might lack indexical features?
A world is a maximal mereological sum of spatiotemporally interrelated things [Lewis]
     Full Idea: A world is a maximal mereological sum of spatiotemporally interrelated things.
     From: David Lewis (On the Plurality of Worlds [1986], 1.6)
     A reaction: (I wonder what Lewis's account of space was?) A mereological sum is "the least inclusive thing that includes all the parts" (p.69). It is maximal when all 'worldmates' are parts. But then 'worldmates' are defined as parts, so it threatens circularity.
10. Modality / E. Possible worlds / 1. Possible Worlds / d. Possible worlds actualism
The actual world is just the world you are in [Lewis, by Cappelen/Dever]
     Full Idea: Lewis equates knowing which world is actual with knowing which world one is in.
     From: report of David Lewis (Attitudes De Dicto and De Se [1979]) by Cappelen,H/Dever,Josh - The Inessential Indexical 05.1
     A reaction: [This view is not, of course, Actualism, but an alternative treatment of actuality, within a multitude of possibilities].
Lewis can't know possible worlds without first knowing what is possible or impossible [Lycan on Lewis]
     Full Idea: Lewis's knowledge of what possible worlds there are and of other general truths about worlds is posterior, not prior, to his knowledge of what things are possible and what things are impossible.
     From: comment on David Lewis (Possible Worlds [1973]) by William Lycan - The Trouble with Possible Worlds 07
     A reaction: This elementary objection seems to me to destroy any attempt to explain modality in terms of possible worlds. It is a semantics for modal statements, but that doesn't make it an ontology. To assess possibilities, study actuality.
What are the ontological grounds for grouping possibilia into worlds? [Lycan on Lewis]
     Full Idea: Lewis must seek some ontological ground for the grouping of possibilia into disjoint worlds.
     From: comment on David Lewis (Possible Worlds [1973]) by William Lycan - The Trouble with Possible Worlds 07
     A reaction: I do love people like Lycan who ask the simple commonsense questions about these highly sophisticated systems that students of philosophy are required to study. If a proposition is a 'set of worlds', understanding a proposition is beyond me.
Lewis rejects actualism because he identifies properties with sets [Lewis, by Stalnaker]
     Full Idea: It is the identification of properties with sets that rules out, for Lewis, an actualist account of possible worlds.
     From: report of David Lewis (On the Plurality of Worlds [1986]) by Robert C. Stalnaker - Mere Possibilities 1.1
     A reaction: I suppose the sets which are the properties have to include all the possible red things as well as the actual one. This escapes the renate/cordate problem.
Ersatzers say we have one world, and abstract representations of how it might have been [Lewis]
     Full Idea: The ersatzers say that instead of an incredible plurality of concrete worlds, we can have one world only, and countless abstract entities representing ways that this world might have been.
     From: David Lewis (On the Plurality of Worlds [1986], 3.1)
     A reaction: Put me down as an ersatzer. They seem to be the same as Actualists. Are worlds other possible worlds, or ways 'this world might have been'? Not the same. Does actuality constrain what is possible? (Barcan formula?)
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
Ersatz worlds represent either through language, or by models, or magically [Lewis]
     Full Idea: I distinguish three principal ways ersatz worlds represent: linguistic, in which they are like stories or theories; pictorial, like pictures or isomorphic scale models; or magical, in which it is just their nature to represent.
     From: David Lewis (On the Plurality of Worlds [1986], 3.1)
     A reaction: I think I incline to the 'model' view. The linguistic version means animals can't assess possibilities. I take modelling to be basic to what a mind is, and what a mind is for.
The actual world is a possible world, so we can't define possible worlds as 'what might have been' [Fine,K]
     Full Idea: A possible world can't be defined (by Stalnaker and Plantinga) as a way the world might have been, because a possible world is possibly the world, yet no way the world might have been is possibly the world.
     From: Kit Fine (The Problem of Possibilia [2003], 2)
     A reaction: His point is that any definition of a possible world must cover the actual world, because that is one of them. 'Might have been' is not applicable to the actual world. It seems a fairly important starting point for discussion of possible worlds.
The actual world is a totality of facts, so we also think of possible worlds as totalities [Fine,K]
     Full Idea: We are accustomed think of the actual world as the totality of facts, and so we think of any possible world as being like the actual world in settling the truth-value of every single proposition.
     From: Kit Fine (Necessity and Non-Existence [2005], 02)
     A reaction: Hence it is normal to refer to a possible world as a 'maximal' set of of propositions (sentences, etc). See Idea 15069 for his proposed alternative view.
Possible worlds may be more limited, to how things might actually turn out [Fine,K]
     Full Idea: An alternative conception of a possible world says it is constituted, not by the totality of facts, or of how things might be, but by the totality of circumstances, or how things might turn out.
     From: Kit Fine (Necessity and Non-Existence [2005], 02)
     A reaction: The general idea is to make a possible world more limited than in Idea 15068. It only contains properties arising from 'engagement with the world', and won't include timeless sentences. It is a bunch of possibilities, not of actualities?
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / b. Worlds as fictions
Linguistic possible worlds need a complete supply of unique names for each thing [Lewis]
     Full Idea: There are two difficulties with Carnap's taking possible worlds as linguistic. Everything must have a name, or our state-descriptions will be silent about nameless things, and nothing may have two names, or we may affirm and deny a predicate of one thing.
     From: David Lewis (On the Plurality of Worlds [1986], 3.2)
     A reaction: The idea of possible worlds as linguistic has no appeal for me, so this problem doesn't surprise or bother me, but it sounds fairly terminal for the project.
Maximal consistency for a world seems a modal distinction, concerning what could be true together [Lewis]
     Full Idea: An ersatz world must be maximally consistent (hence destroyed by an additional sentences), …but that is prima facie a modal distinction: a set of sentences is consistent iff those sentences, as interpreted, could all be true together.
     From: David Lewis (On the Plurality of Worlds [1986], 3.2)
     A reaction: This is indicative of Lewis's motivation for his project, which is to eliminate modal facts from the world. Only a vast multitude of non-modal concrete worlds can satisfy all the contraints. Cf many-worlds quantum mechanics for non-locality.
Linguistic possible worlds have problems of inconsistencies, no indiscernibles, and vocabulary [Lewis]
     Full Idea: Linguistic representations of possible worlds have three problems: some descriptions are inconsistent (which worlds cannot be); we cannot have indiscernible descriptions (though some worlds might be so); and descriptions are limited by vocabulary.
     From: David Lewis (On the Plurality of Worlds [1986], 3.2)
     A reaction: Lewis is wonderful at getting problems clearly on the table. I take the idea of possible worlds as linguistic entities to be a non-starter, because (as usual) animals do it too, when they think of possibilities, which even the dimmest ones must do.
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / c. Worlds as propositions
If sets exist, then defining worlds as proposition sets implies an odd distinction between existing and actual [Jacquette on Lewis]
     Full Idea: If sets exist, then the conventional concept of a logically possible world as a proposition set requires a counterintuitive distinction between existence and actuality, between what exists and what is actual.
     From: comment on David Lewis (On the Plurality of Worlds [1986]) by Dale Jacquette - Ontology Ch.2
     A reaction: This pinpoints the obvious difficulty that most people have with Lewis's claim that possible worlds exist. Russell's claim that universals 'subsist' (Idea 5409) is a similar attempt to have two different sorts of existence in your ontology.
10. Modality / E. Possible worlds / 3. Transworld Objects / b. Rigid designation
It doesn't take the whole of a possible Humphrey to win the election [Lewis]
     Full Idea: Even if Humphrey is a modal continuant, it doesn't take the whole of him to do such things as winning.
     From: David Lewis (Counterpart theory and Quant. Modal Logic [1968], Post B)
     A reaction: This responds to Kripke's famous example, that people only care about what happens to themselves, and not to some 'counterpart' of themselves.
A logically determinate name names the same thing in every possible world [Lewis]
     Full Idea: A logically determinate name is one which names the same thing in every possible world.
     From: David Lewis (How to Define Theoretical Terms [1970], III)
     A reaction: This appears to be rigid designation, before Kripke introduced the new word.
10. Modality / E. Possible worlds / 3. Transworld Objects / c. Counterparts
The counterpart relation is sortal-relative, so objects need not be a certain way [Lewis, by Merricks]
     Full Idea: Lewis takes the counterpart relation to be sortal-relative, so he (no less than Quine) denies that objects, qua existing, are necessarily a certain way.
     From: report of David Lewis (On the Plurality of Worlds [1986]) by Trenton Merricks - Truth and Ontology 5.III n10
     A reaction: Does this mean that there could be two different versions of the same possible world (certainly not!), or that worlds are entirely created by our concepts rather than by what is actually possible.
Why should statements about what my 'counterpart' could have done interest me? [Mautner on Lewis]
     Full Idea: If I only have counterparts in possible worlds who are not identical to me, statements about what I could have done will seem irrelevant to me, because they will be about someone else.
     From: comment on David Lewis (On the Plurality of Worlds [1986]) by Thomas Mautner - Penguin Dictionary of Philosophy p.115
     A reaction: We might rephrase the statement as "I could have been the person who did x". Presumably my counterpart is not just any stranger, but someone I could have been. "I could have been a brick" - now that seems irrelevant to me!
A counterpart in a possible world is sufficiently similar, and more similar than anything else [Lewis, by Mautner]
     Full Idea: 'Jack could have been taller' implies a different Jack in a different world, so Lewis defines a counterpart in a possible world as an individual sufficiently similar to Jack, and more similar to Jack than anything else in that world.
     From: report of David Lewis (On the Plurality of Worlds [1986]) by Thomas Mautner - Penguin Dictionary of Philosophy p.115
     A reaction: If we say something like "I could have been twins" or "I could have been a genius" in another world, it would need an odd concept of my personal identity for it to remain identical in those counterfactual situations. Lewis has a point.
In counterpart theory 'Humphrey' doesn't name one being, but a mereological sum of many beings [Lewis]
     Full Idea: For the counterpart theorist, the trick is to say that 'Humphrey' names not the Humphrey of our world, and not the Humphrey of another, but rather the trans-world individual who is the mereological sum of all those local Humphreys.
     From: David Lewis (On the Plurality of Worlds [1986], 4.1)
     A reaction: On Lewis's perdurantism Humphrey is a 'spacetime worm' across his lifetime. Now we are adding all the possible Humphreys to the sum. I'm losing track of Humphrey's shape.
Counterpart theory is bizarre, as no one cares what happens to a mere counterpart [Kripke on Lewis]
     Full Idea: Probably Humphrey could not care less whether someone else, no matter how much resembling him, would have been victorious in another possible world. Thus Lewis's view seems even more bizarre that the usual transworld identification it replaces.
     From: comment on David Lewis (Counterpart theory and Quant. Modal Logic [1968]) by Saul A. Kripke - Naming and Necessity notes and addenda note 13
     A reaction: I begin to see this as a devastating reply to a theory I previously found quite congenial.
Counterparts are not the original thing, but resemble it more than other things do [Lewis]
     Full Idea: Your counterparts resemble you closely in content and context in important respects. They resemble you more closely than do the other things in their worlds. But they are not really you.
     From: David Lewis (Counterpart theory and Quant. Modal Logic [1968], I)
     A reaction: It is a dilemma. If my counterpart were exactly me, I couldn't contemplate possibly losing a leg, or my sanity. But if my counterpart isn't exactly me, then I don't have much interest in its fate. Only essences can save us here. Cf. me tomorrow.
If the closest resembler to you is in fact quite unlike you, then you have no counterpart [Lewis]
     Full Idea: If whatever thing in world w6 it is that resembles you more closely than anything else in w6 is nevertheless quite unlike you; nothing in w6 resembles you at all closely. If so, you have no counterpart in w6.
     From: David Lewis (Counterpart theory and Quant. Modal Logic [1968], I)
     A reaction: This is the nub, because the whole theory rests on deciding whether two things resemble sufficiently 'closely'. But then we need a criterion of closeness, so we must start talking about which properties matter. Essences loom.
Essential attributes are those shared with all the counterparts [Lewis]
     Full Idea: An essential attribute of something is an attribute it shares with all its counterparts.
     From: David Lewis (Counterpart theory and Quant. Modal Logic [1968], III)
     A reaction: I don't like this. It ties essence entirely to identity, but I think essence precedes identity. Essence is a nexus of causal and explanatory powers which bestows an identity on each thing. But essence might be unstable, and identity with it.
10. Modality / E. Possible worlds / 3. Transworld Objects / d. Haecceitism
Extreme haecceitists could say I might have been a poached egg, but it is too remote to consider [Lewis, by Mackie,P]
     Full Idea: Lewis's strategy for defending extreme haecceitism is that supposed impossibilities (that I might have been a poached egg) could be reconstrued as genuine possibilities that are so remote from reality that they are ignored.
     From: report of David Lewis (On the Plurality of Worlds [1986], 239-) by Penelope Mackie - How Things Might Have Been 9.3
     A reaction: Not a promising route. Wiggins asks: if you think I could have been a poached egg, start by defining more precisely this 'I' to which we are referring. The definition will blatantly exclude any possibility of my poachedegghood.
Haecceitism implies de re differences but qualitative identity [Lewis]
     Full Idea: If two worlds differ in what they represent de re concerning some individual, but do not differ qualitatively in any way, I shall call that a haecceitist difference. Haecceitism, then, says there are at least some haecceitist differences between worlds.
     From: David Lewis (On the Plurality of Worlds [1986], 4.4)
     A reaction: Lewis bases this view on Kaplan. My brief summary of this is that 'identity may be hidden'. If all electrons are different, what distinguishes them?
Extreme haecceitism says you might possibly be a poached egg [Lewis]
     Full Idea: The most extreme version of haecceitism says that anything could possibly have any qualitative character; for instance, there is a world according to which you are a poached egg.
     From: David Lewis (On the Plurality of Worlds [1986], 4.4)
     A reaction: Presumably a plausible haecceitist view would have to be combined with essentialism, given that the possibility that I might be a poached egg is beyond my intuitive grasp.
11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs
A content is a property, and believing it is self-ascribing that property [Lewis, by Recanati]
     Full Idea: For Lewis, a belief mode is analysed by saying that to believe a content (analysed as a property) is for the subject of thought to 'self-ascribe' that property.
     From: report of David Lewis (Attitudes De Dicto and De Se [1979]) by François Recanati - Mental Files 18.3
     A reaction: Lewis is weird. I would have thought you only self-ascribe the 'property' when you find yourself believing it. Lewis seems desperate to eliminate mental language. Belief can be a primitive concept without being primitive in ontology.
The timid student has knowledge without belief, lacking confidence in their correct answer [Lewis]
     Full Idea: I allow knowledge without belief, as in the case of the timid student who knows the answer but has no confidence that he has it right, and so does not believe what he knows.
     From: David Lewis (Elusive Knowledge [1996], p.429)
     A reaction: [He cites Woozley 1953 for the timid student] I don't accept this example (since my views on knowledge are rather traditional, I find). Why would the student give that answer if they didn't believe it? Sustained timid correctness never happens.
11. Knowledge Aims / B. Certain Knowledge / 3. Fallibilism
To say S knows P, but cannot eliminate not-P, sounds like a contradiction [Lewis]
     Full Idea: If you claim that S knows that P, and yet grant that S cannot eliminate a certain possibility of not-P, it certainly seems as if you have granted that S does not after all know that P. To speak of fallible knowledge just sounds contradictory.
     From: David Lewis (Elusive Knowledge [1996], p.419)
     A reaction: Starting from this point, fallibilism seems to be a rather bold move. The only sensible response seems to be to relax the requirement that not-P must be eliminable. Best: in one epistemic context P, in another not-P.
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / a. Qualities in perception
Some say qualities are parts of things - as repeatable universals, or as particulars [Lewis]
     Full Idea: Some philosophers propose that things have their qualities by having them as parts, either as repeatable universals (Goodman), or as particulars (Donald Williams).
     From: David Lewis (Parts of Classes [1991], 2.1 n2)
     A reaction: He refers to 'qualities' rather than 'properties', presumably because this view makes them all intrinsic to the object. Is being 'handsome' a part of a person?
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities
Although colour depends on us, we can describe the world that way if it picks out fundamentals [Fine,K]
     Full Idea: As long as colour terms pick out fundamental physical properties, I would be willing to countenance their use in the description of Reality in itself, ..even if they are based on a peculiar form of sensory awareness.
     From: Kit Fine (The Question of Realism [2001], 8)
     A reaction: This seems to explain why metaphysicians are so fond of using colour as their example of a property, when it seems rather subjective. There seem to be good reasons for rejecting Fine's view.
13. Knowledge Criteria / A. Justification Problems / 1. Justification / b. Need for justification
Justification is neither sufficient nor necessary for knowledge [Lewis]
     Full Idea: I don't agree that the mark of knowledge is justification, first because justification isn't sufficient - your true opinion that you will lose the lottery isn't knowledge, whatever the odds; and also not necessary - for what supports perception or memory?
     From: David Lewis (Elusive Knowledge [1996])
     A reaction: I don't think I agree. The point about the lottery is that an overwhelming reason will never get you to knowing that you won't win. But good reasons are coherent, not statistical. If perceptions are dubious, justification must be available.
13. Knowledge Criteria / C. External Justification / 2. Causal Justification
General causal theories of knowledge are refuted by mathematics [Lewis]
     Full Idea: Causal accounts of knowledge are all very well in their place, but if they are put forward as general theories, then mathematics refutes them.
     From: David Lewis (On the Plurality of Worlds [1986], 2.4)
     A reaction: You might have some sort of notion of an abstraction from causation which mimicked it in the mathematics case. Lots of things seem to be 'forced' in mathematics. Call it 'ersatz causation'. Necessities are enforcers.
13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / a. Contextualism
Knowing is context-sensitive because the domain of quantification varies [Lewis, by Cohen,S]
     Full Idea: The context-sensitivity of 'knows' is a function of contextual restrictions on the domain of quantification.
     From: report of David Lewis (Elusive Knowledge [1996]) by Stewart Cohen - Contextualism Defended p.68
     A reaction: I think the shifting 'domain of quantification' is one of the most interesting features of ordinary talk. Or, more plainly. 'what are you actually talking about?' is the key question in any fruitful dialogue. Sophisticated speakers tacitly shift domain.
We have knowledge if alternatives are eliminated, but appropriate alternatives depend on context [Lewis, by Cohen,S]
     Full Idea: S knows P if S's evidence eliminates every alternative. But the nature of the alternatives depends on context. So for Lewis, the context sensitivity of 'knows' is a function of contextual restrictions ln the domain of quantification.
     From: report of David Lewis (Elusive Knowledge [1996]) by Stewart Cohen - Contextualism Defended (and reply) 1
     A reaction: A typical modern attempt to 'regiment' a loose term like 'context'. That said, I like the idea. I'm struck by how the domain varies during a conversation (as in 'what we are talking about'). Domains standardly contain 'objects', though.
13. Knowledge Criteria / C. External Justification / 7. Testimony
Unsupported testimony may still be believable [Fine,K]
     Full Idea: I may have good reason to believe some testimony, for example, even though the person providing the testimony has no good reason for saying what he does.
     From: Kit Fine (The Varieties of Necessity [2002], 5)
     A reaction: Thus small children, madmen and dreamers may occasionally get things right without realising it. I take testimony to be merely one more batch of evidence which has to be assessed in building the most coherent picture possible.
14. Science / B. Scientific Theories / 8. Ramsey Sentences
The Ramsey sentence of a theory says that it has at least one realisation [Lewis]
     Full Idea: The Ramsey sentence of a theory says that it has at least one realisation.
     From: David Lewis (How to Define Theoretical Terms [1970], V)
A Ramsey sentence just asserts that a theory can be realised, without saying by what [Lewis]
     Full Idea: If we specify a theory with all of its terms, and then replace all of those terms with variables, we can then say that some n-tuples of entities can satisfy this formula. This Ramsey sentence then says the theory is realised, without specifying by what.
     From: David Lewis (How to Define Theoretical Terms [1970], II)
     A reaction: [I have compressed Lewis, and cut out the symbolism]
There is a method for defining new scientific terms just using the terms we already understand [Lewis]
     Full Idea: I contend that there is a general method for defining newly introduced terms in a scientific theory, one which uses only the old terms we understood beforehand.
     From: David Lewis (How to Define Theoretical Terms [1970], Intro)
     A reaction: Lewis is game is to provide bridge laws for a reductive account of nature, without having to introduce something entirely new to achieve it. The idea of bridge laws in scientific theory is less in favour these days.
It is better to have one realisation of a theory than many - but it may not always be possible [Lewis]
     Full Idea: A uniquely realised theory is, other things being equal, certainly more satisfactory than a multiply realised theory. We should insist on unique realisation as a standard of correctness unless it is a standard too high to be met.
     From: David Lewis (How to Define Theoretical Terms [1970], III)
     A reaction: The point is that rewriting a theory as Ramsey sentences just says there is at least one realisation, and so it doesn't meet the highest standards for scientific theories. The influence of set-theoretic model theory is obvious in this approach.
14. Science / C. Induction / 2. Aims of Induction
Induction is just reasonable methods of inferring the unobserved from the observed [Lewis]
     Full Idea: I use the word 'induction' broadly, to cover all the methods we deem reasonable for forming beliefs about the unobserved parts of our world on the basis of experience with the observed parts.
     From: David Lewis (On the Plurality of Worlds [1986], 2.5)
     A reaction: Good. Attempts to be precise about it seem to be hopeless and invite paradoxes. Personally I just define it as 'learning from experience', because that makes what we do continuous with the behaviour of other sensible animals.
14. Science / C. Induction / 5. Paradoxes of Induction / a. Grue problem
To just expect unexamined emeralds to be grue would be totally unreasonable [Lewis]
     Full Idea: Some beliefs are just unreasonable in a strong sense. Think of the man who, for no special reason, expects unexamined emeralds to be grue.
     From: David Lewis (On the Plurality of Worlds [1986], 1.4)
     A reaction: This is a nice converse way of seeing the point that 'grue' is such an totally artificial predicate. I still say that the most illuminating point is that grue is not a colour, so seeing a grue thing is no confirmation at all.
14. Science / D. Explanation / 1. Explanation / b. Aims of explanation
Does a good explanation produce understanding? That claim is just empty [Lewis]
     Full Idea: It is said that a good explanation ought to produce understanding, ...but this just says that a good explanation produces possession of that which it provide, so this desideratum is empty. It adds nothing to our understanding of explanation.
     From: David Lewis (Causal Explanation [1986], V)
     A reaction: I am not convinced by this dismissal. If you are looking for a test of whether an explanation is good, the announcement that the participants feel they have achieved a good understanding sounds like success.
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
Is there metaphysical explanation (as well as causal), involving a constitutive form of determination? [Fine,K]
     Full Idea: In addition to scientific or causal explanation, there maybe a distinctive kind of metaphysical explanation, in which explanans and explanandum are connected, not through some causal mechanism, but through some constitutive form of determination.
     From: Kit Fine (Guide to Ground [2012], Intro)
     A reaction: I'm unclear why determination has to be 'constitutive', since I would take determination to be a family of concepts, with constitution being one of them, as when chess pieces determine a chess set. Skip 'metaphysical'; just have Determinative Explanation.
We explain by identity (what it is), or by truth (how things are) [Fine,K]
     Full Idea: I think it should be recognised that there are two fundamentally different types of explanation; one is of identity, or of what something is; and the other is of truth, or of how things are.
     From: Kit Fine (Guide to Ground [2012], 1.11)
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
Science may well pursue generalised explanation, rather than laws [Lewis]
     Full Idea: The pursuit of general explanations may be very much more widespread in science than the pursuit of general laws.
     From: David Lewis (Causal Explanation [1986], IV)
     A reaction: Nice. I increasingly think that the main target of all enquiry is ever-widening generality, with no need to aspire to universality.
14. Science / D. Explanation / 2. Types of Explanation / f. Necessity in explanations
A good explanation is supposed to show that the event had to happen [Lewis]
     Full Idea: It is said that a good explanation ought to show that the explanandum event had to happen, given the laws and circumstances.
     From: David Lewis (Causal Explanation [1986], V)
     A reaction: I cautiously go along with this view. Given that there are necessities in nature (a long story), we should aim to reveal them. There is no higher aspiration open to us than successful explanation. Lewis says good explanations can reveal falsehoods.
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
An explanation tells us how an event was caused [Lewis]
     Full Idea: An explanation, I think, is an account of etiology: it tells us something about how an event was caused.
     From: David Lewis (On the Plurality of Worlds [1986], 1.5)
     A reaction: Will this cover mathematical explanations? Numbers would have to have causal powers.
Lewis endorses the thesis that all explanation of singular events is causal explanation [Lewis, by Psillos]
     Full Idea: Lewis endorses the thesis that all explanation of singular events is causal explanation.
     From: report of David Lewis (Causal Explanation [1986]) by Stathis Psillos - Causation and Explanation p.237
     A reaction: It is hard to challenge this. The assumption is that only nomological and causal explanations are possible, and the former are unobtainable for singular events.
Often explanaton seeks fundamental laws, rather than causal histories [Lewis]
     Full Idea: Sometimes the pursuit of explanation is more the pursuit of unified and general fundamental laws than of information about the causal histories of events.
     From: David Lewis (On the Plurality of Worlds [1986], 2.7)
     A reaction: It is hard to disagree, given the 'sometimes'. I don't think that Newton's Law of Gravity (say), with its lovely equation, actually explained anything at all about gravity. Finding the law closes the quest for an accurate description of what happens.
To explain an event is to provide some information about its causal history [Lewis]
     Full Idea: Here is my main thesis: to explain an event is to provide some information about its causal history.
     From: David Lewis (Causal Explanation [1986], II)
     A reaction: The obvious thought is that you might provide some tiny and barely relevant part of that causal history, such as a bird perched on the Titanic's iceberg. So how do we distinguish the 'important' causal information?
14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction
Grounding is an explanation of truth, and needs all the virtues of good explanations [Fine,K]
     Full Idea: The main sources of evidence for judgments of ground are intuitive and explanatory. The relationship of ground is a form of explanation, ..explaining what makes a proposition true, which needs simplicity, breadth, coherence, non-circularity and strength.
     From: Kit Fine (The Question of Realism [2001], 7)
     A reaction: My thought is that not only must grounding explain, and therefore be a good explanation, but that the needs of explanation drive our decisions about what are the grounds. It is a bit indeterminate which is tail and which is dog.
14. Science / D. Explanation / 2. Types of Explanation / l. Probabilistic explanations
If the well-ordering of a pack of cards was by shuffling, the explanation would make it more surprising [Lewis]
     Full Idea: Suppose you find in a hotel room a pack of cards in exactly standard order. Not surprising - maybe it's a new deck, or someone arranged them. Not so. They got that way by being fairly shuffled. The explanation would make the explanandum more surprising.
     From: David Lewis (On the Plurality of Worlds [1986], 2.7)
     A reaction: [compressed] A lovely Lewisian example, that instantly makes big trouble for the (implausible) view that a cause is something which increases the likelihood of a thing.
14. Science / D. Explanation / 3. Best Explanation / b. Ultimate explanation
Ultimate explanations are in 'grounds', which account for other truths, which hold in virtue of the grounding [Fine,K]
     Full Idea: We take ground to be an explanatory relation: if the truth that P is grounded in other truths, then they account for its truth; P's being the case holds in virtue of the other truths' being the case. ...It is the ultimate form of explanation.
     From: Kit Fine (The Question of Realism [2001], 5)
     A reaction: To be 'ultimate' that which grounds would have to be something which thwarted all further explanation. Popper, for example, got quite angry at the suggestion that we should put a block on further investigation in this way.
15. Nature of Minds / A. Nature of Mind / 1. Mind / b. Purpose of mind
A mind is an organ of representation [Lewis]
     Full Idea: A mind is an organ of representation.
     From: David Lewis (Lewis: reduction of mind (on himself) [1994], p.421)
     A reaction: This does not seem to necessarily involve awareness, so it seems to put intentionality at the centre of things. It is a good slogan.
15. Nature of Minds / B. Features of Minds / 5. Qualia / a. Nature of qualia
Part of the folk concept of qualia is what makes recognition and comparison possible [Lewis]
     Full Idea: The concept of qualia (a part of the folk concept) is the concept of properties of experiences apt for causing abilities to recognize and to imagine experiences of the same type.
     From: David Lewis (Should a materialist believe in qualia? [1995], p.327)
     A reaction: I presume the other part of the folk concept would be what it is about qualia that makes this possible, namely that they 'look/sound/feel.. the same'. Lewis emphasises the functional aspect, which could not possibly be the whole story.
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
Maybe abstraction is just mereological subtraction [Lewis]
     Full Idea: We could say that abstraction is just mereological subtraction of universals.
     From: David Lewis (Against Structural Universals [1986], 'Uninstantiated')
     A reaction: This only works, of course, for the theories that complex universals have simpler universals as 'parts'. This is just a passing surmise. I take it that abstraction only works for a thing whose unity survives the abstraction.
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
If green is abstracted from a thing, it is only seen as a type if it is common to many things [Fine,K]
     Full Idea: In traditional abstraction, the colour green merely has the intrinsic property of being green, other properties of things being abstracted away. But why should that be regarded as a type? It must be because the property is common to the instances.
     From: Kit Fine (Cantorian Abstraction: Recon. and Defence [1998], §5)
     A reaction: A nice question which shows that the much-derided single act of abstraction is not sufficient to arrive at a concept, so that abstraction is a more complex matter (perhaps even a rational one) than simple empiricists believe.
16. Persons / D. Continuity of the Self / 2. Mental Continuity / b. Self as mental continuity
It seems absurd that there is no identity of any kind between two objects which involve survival [Fine,K]
     Full Idea: Pace Parfit and others, it boggles the mind that survival could be independent of any relation of identity between the currently existing object and the objects that subsequently exist.
     From: Kit Fine (Vagueness: a global approach [2020], 3)
     A reaction: Yes. If the self or mind just consists of a diachronic trail of memories such that the two ends of the trail have no connection at all, that isn't the kind of survival that any of us want. I want to live my life, not a life.
16. Persons / F. Free Will / 6. Determinism / a. Determinism
Determinism says there can't be two identical worlds up to a time, with identical laws, which then differ [Lewis]
     Full Idea: By determinism I mean that the prevailing laws of nature are such that there do not exist any two possible worlds which are exactly alike up to that time, which differ thereafter, and in which those laws are never violated.
     From: David Lewis (Causation [1973], p.196)
     A reaction: This would mean that the only way an action of free will could creep in would be if it accepted being a 'violation' of the laws of nature. Fans of free will would probably prefer to call it a 'natural' phenomenon. I'm with Lewis.
17. Mind and Body / C. Functionalism / 4. Causal Functionalism
Experiences are defined by their causal role, and causal roles belong to physical states [Lewis]
     Full Idea: The definitive characteristic of any experience is its causal role, its most typical causes and effects; but we materialists believe that these causal roles which belong by analytic necessity to experiences belong in fact to certain physical states.
     From: David Lewis (An Argument for the Identity Theory [1966], §I)
     A reaction: This is the Causal version of functionalism, which Armstrong also developed. The word 'typical' leads later to a teleological element in the theory (e.g. in Lycan). There are other things to say about mental states than just their causal role.
'Pain' contingently names the state that occupies the causal role of pain [Lewis]
     Full Idea: On my theory, 'pain' is a contingent name - that is, a name with different denotations in different possible worlds - since in any world, 'pain' names whatever state happens in that world to occupy the causal role definitive of pain.
     From: David Lewis (An Argument for the Identity Theory [1966], §II n6)
     A reaction: Better to say that 'pain' (like 'sound') is ambiguous. It is indiscriminately used by English-speakers to mean [1] the raw quale that we experience when damaged, and [2] whatever it is that leads to pain behaviour. Maybe frogs have 2 but not 1.
Type-type psychophysical identity is combined with a functional characterisation of pain [Lewis]
     Full Idea: The materialist theory Armstrong and I proposed joins claims of type-type psychophysical identity with a behaviourist or functionalist way of characterising mental states such as pain.
     From: David Lewis (Mad Pain and Martian Pain [1980], §III)
     A reaction: Armstrong has backed off from 'type-type' identity, because the realisations of a given mental state might be too diverse to be considered of the same type. Putnam's machine functionalism allows the possibility of dualism.
17. Mind and Body / D. Property Dualism / 5. Supervenience of mind
If mind supervenes on the physical, it may also explain the physical (and not vice versa) [Fine,K]
     Full Idea: It is not enough to require that the mental should modally supervene on the physical, since that still leaves open the possibility that the physical is itself ultimately to be understood in terms of the mental.
     From: Kit Fine (Guide to Ground [2012], 1.02)
     A reaction: See Horgan on supervenience. Supervenience is a question, not an answer. The first question is whether the supervenience is mutual, and if not, which 'direction' does it go in?
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
Human pain might be one thing; Martian pain might be something else [Lewis]
     Full Idea: Human pain might be one thing. Martian pain might be something else.
     From: David Lewis (Lewis: reduction of mind (on himself) [1994], p.420)
     A reaction: A key suggestion in support of type-type physicalism, and against the multiple realisability objection to the identity theory
The application of 'pain' to physical states is non-rigid and contingent [Lewis]
     Full Idea: The word 'pain' is a non-rigid designator; it is a contingent matter what state the concept and the word apply to. (Note: so the sort of theory Kripke argues against is not what we propose).
     From: David Lewis (Mad Pain and Martian Pain [1980], §III)
     A reaction: I like the view that a given quale is necessarily identical to a given mental state, but that many mental states might occupy a given behavioural role. The smell of roses might occupy the behavioural role of pain. Frog pain isn't quite like ours.
Psychophysical identity implies the possibility of idealism or panpsychism [Lewis]
     Full Idea: Psychophysical identity is a two-way street: if all mental properties are physical, then some physical properties are mental; but then all physical properties might be mental, or every property of everything might be both physical and mental.
     From: David Lewis (New work for a theory of universals [1983], 'Min Mat')
     A reaction: I suspect that this is the thought that has impressed Galen Strawson. The whole story seems to include the existence of 'mental properties' as a distinct category. This line of thought strikes me as a serious misunderstanding.
17. Mind and Body / E. Mind as Physical / 2. Reduction of Mind
I am a reductionist about mind because I am an a priori reductionist about everything [Lewis]
     Full Idea: My reductionism about mind began as part of an a priori reductionism about everything.
     From: David Lewis (Lewis: reduction of mind (on himself) [1994], p.412)
     A reaction: He says this is 'a priori' to avoid giving hostages to fortune, but I think is the best explanation of the total evidence facing us
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
A theory must be mixed, to cover qualia without behaviour, and behaviour without qualia [Lewis, by PG]
     Full Idea: To pass our test it seems that our theory will have to be a 'mixed' theory, to account for the Madman (whose pain has odd causes, and odd effects) and also for the Martian (who has normal causes and effects, but an odd physical state).
     From: report of David Lewis (Mad Pain and Martian Pain [1980], §II) by PG - Db (ideas)
     A reaction: A statement that 'pain' is ambiguous (qualia/causal role) would help a lot here. Martians have the causal role but no qualia, and the madman has the qualia but lacks the causal role. I say lots of different qualia might have the same causal role.
18. Thought / A. Modes of Thought / 2. Propositional Attitudes
Attitudes involve properties (not propositions), and belief is self-ascribing the properties [Lewis, by Solomon]
     Full Idea: Lewis suggests that we take attitudes to have properties, rather than propositions, as contents. To stand in the belief relation to a property is to self-ascribe that property.
     From: report of David Lewis (Attitudes De Dicto and De Se [1979]) by Robert C. Solomon - Erotic Love as a Moral Virtue 05.1
     A reaction: This is the sort of convoluted suggestion that Lewis has to come up with, in pursuit of his project of a wholly consistent metaphysics. Examine Lewis's account of properties before you judge this proposal! Self-ascribing is joining a set!
18. Thought / A. Modes of Thought / 4. Folk Psychology
Folk psychology makes good predictions, by associating mental states with causal roles [Lewis]
     Full Idea: Folk psychology is a powerful instrument of prediction, …which associates with each mental state a typical causal role.
     From: David Lewis (Lewis: reduction of mind (on himself) [1994], p.416)
     A reaction: This seems a good account of why we should take folk psychology very seriously, even if it is sometimes wrong (e.g. about people who are mentally ill).
18. Thought / A. Modes of Thought / 9. Indexical Thought
Lewis's popular centred worlds approach gives an attitude an index of world, subject and time [Lewis, by Recanati]
     Full Idea: Many philosophers now prefer Lewis's centred worlds framework for indexicals …It is two-dimensional, saying an attitude only has a truth-value when evaluated with respect to a contextual index, containing a subject and time, as well as a world.
     From: report of David Lewis (Attitudes De Dicto and De Se [1979]) by François Recanati - Mental Files 18.2
     A reaction: [compressed; this is said to have largely ousted the older Kaplan-Perry view] You only begin to understand the possible worlds game when you see how many problems find proposed 'solutions' there.
18. Thought / B. Mechanics of Thought / 4. Language of Thought
Folk psychology doesn't say that there is a language of thought [Lewis]
     Full Idea: I don't believe that folk psychology says there is a language of thought.
     From: David Lewis (Lewis: reduction of mind (on himself) [1994], p.422)
     A reaction: This is aimed at Jerry Fodor. Certainly folk psychology is a strong theory, but a so-called 'language of thought' (the brain's machine code) seems a much weaker one.
18. Thought / B. Mechanics of Thought / 5. Mental Files
Mental files are devices for keeping track of basic coordination of objects [Fine,K]
     Full Idea: Mental files should be seen as a device for keeping track of when objects are coordinated (represented as-the-same) and, rather than understand coordination in terms of mental files, we should understand mental files in terms of coordination.
     From: Kit Fine (Semantic Relationism [2007], 3.A)
     A reaction: Personally I think that the metaphor of a 'label' is much closer to the situation than that of a 'file'. Thus my concept of Cicero is labelled 'Tully', 'Roman', 'orator', 'philosophical example'... My problem is to distinguish the concept from its labels.
18. Thought / C. Content / 1. Content
You cannot determine the full content from a thought's intrinsic character, as relations are involved [Fine,K]
     Full Idea: There is no determining the full content of what someone thinks or believes from the individual things that he thinks or believes; we must also look at the threads that tie the contents of these thoughts or beliefs together.
     From: Kit Fine (Semantic Relationism [2007], Intro)
     A reaction: I'm not sure what 'full' content could possibly mean. Does that include all our background beliefs which we hardly ever articulate. Content comes in degrees, or needs an arbitrary boundary?
18. Thought / C. Content / 6. Broad Content
If you don't share an external world with a brain-in-a-vat, then externalism says you don't share any beliefs [Lewis]
     Full Idea: If the famous brain in a bottle is your exact duplicate in brain states, but only experiences the computer's virtual reality, so that you share no objects of acquaintance, then according to externalists you share no beliefs whatsoever.
     From: David Lewis (Lewis: reduction of mind (on himself) [1994], p.424)
     A reaction: A very nice reductio ad absurdum of the idea that all concepts and beliefs have external meaning.
Nothing shows that all content is 'wide', or that wide content has logical priority [Lewis]
     Full Idea: There is nothing to support the thesis that wide content is the only kind of content, or that it is any way pre-eminent or basic.
     From: David Lewis (Lewis: reduction of mind (on himself) [1994], p.424)
     A reaction: The idea that all content is 'wide' seems quite wrong. We can't all be wrong about the meaning of a word, because the underlying facts have not yet been discovered.
A spontaneous duplicate of you would have your brain states but no experience, so externalism would deny him any beliefs [Lewis]
     Full Idea: According to externalists, Davidson's 'swampman' is your exact duplicate in brains states, but hasn't had time to become acquainted with much, so he has virtually no beliefs.
     From: David Lewis (Lewis: reduction of mind (on himself) [1994], p.425)
     A reaction: An implausible fantasy, but it does highlight the fact that beliefs and concepts are primarily internal states.
Wide content derives from narrow content and relationships with external things [Lewis]
     Full Idea: Wide content is derivative, a product of narrow content and relationships of acquaintance with external things.
     From: David Lewis (Lewis: reduction of mind (on himself) [1994], p.430)
     A reaction: I would say: content is a mental state, but it is created and fixed by a community, and wide content is the part fixed by experts in the community. We can all be wrong about meanings, and occasionally most of us are wrong about a specialised meaning.
18. Thought / E. Abstraction / 1. Abstract Thought
Abstraction is usually explained either by example, or conflation, or abstraction, or negatively [Lewis]
     Full Idea: Abstraction is usually explained in one of four ways: the Way of Example (cf. donkeys and numbers), the Way of Conflation (same as sets), the Negative Way (non-spatial and non-causal) or the Way of Abstraction (incomplete descriptions).
     From: David Lewis (On the Plurality of Worlds [1986], 1.7)
     A reaction: [Compressed; a footnote dismisses Dummett's fifth way] Example has blurred boundaries, and explains nothing. Gerrymandered sets don't produce concepts. Negative accounts explain nothing. So it's the Way of Abstraction!
Fine's 'procedural postulationism' uses creative definitions, but avoids abstract ontology [Fine,K, by Cook/Ebert]
     Full Idea: Fine says creative definitions can found mathematics. His 'procedural postulationism' says one stipulates not truths, but certain procedures for extending a domain. The procedures can be stated without invoking an abstract ontology.
     From: report of Kit Fine (The Limits of Abstraction [2002], 100) by R Cook / P Ebert - Notice of Fine's 'Limits of Abstraction' 4
     A reaction: (For creative definitions, see Idea 9143) This sounds close in spirit to fictionalism, but with the emphasis on the procedure (which can presumably be formalized) rather than a pure act of imaginative creation.
18. Thought / E. Abstraction / 2. Abstracta by Selection
To obtain the number 2 by abstraction, we only want to abstract the distinctness of a pair of objects [Fine,K]
     Full Idea: In abstracting from the elements of a doubleton to obtain 2, we do not wish to abstract away from all features of the objects. We wish to take account of the fact that the two objects are distinct; this alone should be preserved under abstraction.
     From: Kit Fine (Cantorian Abstraction: Recon. and Defence [1998], §3)
     A reaction: This is Fine's strategy for meeting Frege's objection to abstraction, summarised in Idea 9146. It seems to use the common sense idea that abstraction is not all-or-nothing. Abstraction has degrees (and levels).
We should define abstraction in general, with number abstraction taken as a special case [Fine,K]
     Full Idea: Number abstraction can be taken to be a special case of abstraction in general, which can then be defined without recourse to the concept of number.
     From: Kit Fine (Cantorian Abstraction: Recon. and Defence [1998], §3)
     A reaction: At last, a mathematical logician recognising that they don't have a monopoly on abstraction. It is perfectly obvious that abstractions of simple daily concepts must be chronologically and logically prior to number abstraction. Number of what?
Many different kinds of mathematical objects can be regarded as forms of abstraction [Fine,K]
     Full Idea: Many different kinds of mathematical objects (natural numbers, the reals, points, lines, figures, groups) can be regarded as forms of abstraction, with special theories having their basis in a general theory of abstraction.
     From: Kit Fine (The Limits of Abstraction [2002], I.4)
     A reaction: This result, if persuasive, would be just the sort of unified account which the whole problem of abstact ideas requires.
18. Thought / E. Abstraction / 3. Abstracta by Ignoring
The Way of Abstraction says an incomplete description of a concrete entity is the complete abstraction [Lewis]
     Full Idea: The Way of Abstraction says abstract entities are abstractions from concrete entities; they result from somehow subtracting specificity, so that an incomplete description of the original concrete entity is a complete description of the abstraction.
     From: David Lewis (On the Plurality of Worlds [1986], 1.7)
     A reaction: Defined like this, it rather looks as if abstractions would be entirely verbal - which may well be the correct situation, except that higher animals seem capable of minimal levels of abstraction. This Way is denigrated by Frege and Geach.
18. Thought / E. Abstraction / 4. Abstracta by Example
The Way of Example compares donkeys and numbers, but what is the difference, and what are numbers? [Lewis]
     Full Idea: The Way of Example says concrete entities are things like donkeys and puddles, but abstract entities are things like numbers. That gives us little guidance. There are no uncontroversial accounts of numbers, and donkeys and number differ in too many ways.
     From: David Lewis (On the Plurality of Worlds [1986], 1.7)
     A reaction: That demolishes that fairly swiftly. It may be unfair to demand an agreed account of numbers, but the respect(s) in which donkeys and numbers differ needs to be spelled out before anything useful has been said.
18. Thought / E. Abstraction / 6. Abstracta by Conflation
Abstracta can be causal: sets can be causes or effects; there can be universal effects; events may be sets [Lewis]
     Full Idea: Is it true that sets or universals cannot enter into causal interaction? Why can't we say that a set of things causes something, or something causes a set of effects? Or positive charge has characteristic effects? Or an event is a sort of set?
     From: David Lewis (On the Plurality of Worlds [1986], 1.7)
     A reaction: This idea, and 8902, form a devastating critique of attempts to define abstraction in a purely negative way, as non-spatial and non-causal. Only a drastic revision of widely held views about sets, universals and events could save that account.
If abstractions are non-spatial, then both sets and universals seem to have locations [Lewis]
     Full Idea: If abstract entities are not located, then a set of things does seem to have a location, though perhaps a divided one; and universals, if they are wholly present in each particular, are where their instances are, so negation can't define abstraction.
     From: David Lewis (On the Plurality of Worlds [1986], 1.7)
     A reaction: He admits that non-spatial accounts of sets and universals are possible, but the jury is out on both of them, and more cautious theories, even if they are realist, will give them both locations. A good argument.
If we can abstract the extrinsic relations and features of objects, abstraction isn't universals or tropes [Lewis]
     Full Idea: Why can't we abstract a highly extrinsic aspect of something, say its surname, or its spatiotemporal location, or its role in a causal network, or its role in some body of theory? But these are unsuitable candidates for being genuine universals or tropes.
     From: David Lewis (On the Plurality of Worlds [1986], 1.7)
     A reaction: (This is a criticism of the proposal in Idea 8905) Obviously we can abstract such things. In particular the role in a causal network is a function, which is a central example of an abstract idea. Russell keeps reminding us that relations are universals.
If universals or tropes are parts of things, then abstraction picks out those parts [Lewis]
     Full Idea: A theory of non-spatiotemporal parts of things, whether recurring universals or non-recurring tropes, makes good sense of some abstractions. Unit negative charge is a universal common to particles, and an abstraction by being part of them.
     From: David Lewis (On the Plurality of Worlds [1986], 1.7)
     A reaction: He cautiously refers to 'some' abstractions. It is one of Donald Williams's proud boasts concerning his trope theory that it will handle this problem well. I'm not sure that we should be saying that abstractions are actually concrete bits of things.
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
We can abstract from concepts (e.g. to number) and from objects (e.g. to direction) [Fine,K]
     Full Idea: A principle of abstraction is 'conceptual' when the items upon which it abstracts are concepts (e.g. a one-one correspondence associated with a number), and 'objectual' if they are objects (parallel lines associated with a direction).
     From: Kit Fine (The Limits of Abstraction [2002], I)
For most sets, the concept of equivalence is too artificial to explain abstraction [Lewis]
     Full Idea: Most sets cannot be regarded as abstractions by equivalence: most sets are equivalence classes only under thoroughly artificial equivalence. (And the empty set is not an equivalence class at all).
     From: David Lewis (On the Plurality of Worlds [1986], 1.7)
     A reaction: [Recorded for further investigation..] My intuitions certainly cry out against such a thin logical notion giving a decent explanation of such a rich activity as abstraction.
The abstract direction of a line is the equivalence class of it and all lines parallel to it [Lewis]
     Full Idea: We can abstract the direction of a line by taking the direction as the equivalence class of that line and all lines parallel to it. There is no subtraction of detail, but a multiplication of it; by swamping it, the specifics of the original line get lost.
     From: David Lewis (On the Plurality of Worlds [1986], 1.7)
     A reaction: You can ask how wide a line is, but not how wide a direction is, so a detail IS being subtracted. I don't see how you can define the concept of a banana by just saying it is 'every object which is equivalent to a banana'. 'Parallel' is an abstraction.
Mathematicians abstract by equivalence classes, but that doesn't turn a many into one [Lewis]
     Full Idea: When mathematicians abstract one thing from others, they take an equivalence class. ....But it is only superficially a one; underneath, a class are still many.
     From: David Lewis (Against Structural Universals [1986], 'The pictorial')
     A reaction: This is Frege's approach to abstraction, and it is helpful to have it spelled out that this is a mathematical technique, even when applied by Frege to obtaining 'direction' from classes of parallels. Too much philosophy borrows inappropriate techniques.
Fine considers abstraction as reconceptualization, to produce new senses by analysing given senses [Fine,K, by Cook/Ebert]
     Full Idea: Fine considers abstraction principles as instances of reconceptualization (rather than implicit definition, or using the Context Principle). This centres not on reference, but on new senses emerging from analysis of a given sense.
     From: report of Kit Fine (The Limits of Abstraction [2002], 035) by R Cook / P Ebert - Notice of Fine's 'Limits of Abstraction' 2
     A reaction: Fine develops an argument against this view, because (roughly) the procedure does not end in a unique result. Intuitively, the idea that abstraction is 'reconceptualization' sounds quite promising to me.
Abstractionism can be regarded as an alternative to set theory [Fine,K]
     Full Idea: The uncompromising abstractionist rejects set theory, seeing the theory of abstractions as an alternative, rather than as a supplement, to the standard theory of sets.
     From: Kit Fine (The Limits of Abstraction [2002], I.1)
     A reaction: There is also a 'compromising' version. Presumably you still have equivalence classes to categorise the objects, which are defined by their origin rather than by what they are members of... Cf. Idea 10145.
An object is the abstract of a concept with respect to a relation on concepts [Fine,K]
     Full Idea: We can see an object as being the abstract of a concept with respect to a relation on concepts. For example, we may say that 0 is the abstract of the empty concept with respect to the relation of one-one correspondence.
     From: Kit Fine (The Limits of Abstraction [2002], I.2)
     A reaction: This is Fine's attempt to give a modified account of the Fregean approach to abstraction. He says that the reference to a relation will solve the problem of identity between abstractions.
Abstraction-theoretic imperialists think Fregean abstracts can represent every mathematical object [Fine,K]
     Full Idea: Abstraction-theoretic imperialists think that it must be possible to represent every mathematical object as a Fregean abstract.
     From: Kit Fine (Replies on 'Limits of Abstraction' [2005], 1)
We can combine ZF sets with abstracts as urelements [Fine,K]
     Full Idea: I propose a unified theory which is a version of ZF or ZFC with urelements, where the urelements are taken to be the abstracts.
     From: Kit Fine (Replies on 'Limits of Abstraction' [2005], 1)
We can create objects from conditions, rather than from concepts [Fine,K]
     Full Idea: Instead of viewing the abstracts (or sums) as being generated from objects, via the concepts from which they are defined, we can take them to be generated from conditions. The number of the universe ∞ is the number of self-identical objects.
     From: Kit Fine (Replies on 'Limits of Abstraction' [2005], 1)
     A reaction: The point is that no particular object is now required to make the abstraction.
An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K]
     Full Idea: If an abstraction principle is going to be acceptable, then it should not 'inflate', i.e. it should not result in there being more abstracts than there are objects. By this mark Hume's Principle will be acceptable, but Frege's Law V will not.
     From: Kit Fine (Precis of 'Limits of Abstraction' [2005], p.307)
     A reaction: I take this to be motivated by my own intuition that abstract concepts had better be rooted in the world, or they are not worth the paper they are written on. The underlying idea this sort of abstraction is that it is 'shared' between objects.
18. Thought / E. Abstraction / 8. Abstractionism Critique
We can't account for an abstraction as 'from' something if the something doesn't exist [Lewis]
     Full Idea: We cannot really be talking about the things whence an abstraction-like entity is abstracted if there are no such things.
     From: David Lewis (On the Plurality of Worlds [1986], 3.3)
     A reaction: Sounds like a killer blow, but I don't think so. I can't think of a concept which doesn't have a possible basis in reality, assuming that it might be a complex assemblage of abstracted components.
After abstraction all numbers seem identical, so only 0 and 1 will exist! [Fine,K]
     Full Idea: In Cantor's abstractionist account there can only be two numbers, 0 and 1. For abs(Socrates) = abs(Plato), since their numbers are the same. So the number of {Socrates,Plato} is {abs(Soc),abs(Plato)}, which is the same number as {Socrates}!
     From: Kit Fine (Cantorian Abstraction: Recon. and Defence [1998], §1)
     A reaction: Fine tries to answer this objection, which arises from §45 of Frege's Grundlagen. Fine summarises that "indistinguishability without identity appears to be impossible". Maybe we should drop talk of numbers in terms of sets.
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
A theory of perspectival de se content gives truth conditions relative to an agent [Lewis, by Cappelen/Dever]
     Full Idea: Lewis's theory of a perspectival 'de se' content ...delivers truth conditions not absolutely, but only relative to a choice of agent/center.
     From: report of David Lewis (Attitudes De Dicto and De Se [1979]) by Cappelen,H/Dever,Josh - The Inessential Indexical 05.7
     A reaction: The proposal rests on a theory of 'centred' possible worlds, specifying the viewpoint of some agent within the whole system. It relies on accepting the idea that indexicals are special, which Cappelen and Dever reject.
19. Language / A. Nature of Meaning / 7. Meaning Holism / c. Meaning by Role
A particular functional role is what gives content to a thought [Lewis]
     Full Idea: Anything that is a thinker at all has a thought with a certain content in virtue of being in a state which occupies a certain functional role.
     From: David Lewis (On the Plurality of Worlds [1986], 2.3)
     A reaction: So often Lewis seems to get things the wrong way round. Maybe if you invert his entire (fabulously consistent) philosophy, you get the right answer? I take the content to be what makes the role possible.
19. Language / B. Reference / 3. Direct Reference / b. Causal reference
Causal theories of reference make errors in reference easy [Lewis]
     Full Idea: Whatever happens in special cases, causal theories usually make it easy to be wrong about the thing we refer to.
     From: David Lewis (Putnam's Paradox [1984], 'What Is')
     A reaction: I suppose the point of this is that there are no checks and balances to keep reference in focus, but just a requirement to keep connected to an increasingly attenuated causal chain.
19. Language / B. Reference / 4. Descriptive Reference / b. Reference by description
Descriptive theories remain part of the theory of reference (with seven mild modifications) [Lewis]
     Full Idea: Description theories of reference are supposed to have been well and truly refuted. I think not: ..it is still tenable with my seven points, and part of the truth of reference [7: rigidity, egocentric, tokens, causal, imperfect, indeterminate, families].
     From: David Lewis (Putnam's Paradox [1984], 'Glob Desc')
     A reaction: (The bit at the end refers to his seven points, on p.59). He calls his basic proposal 'causal descriptivism', incorporating his seven slight modifications of traditional descriptivism about reference.
19. Language / C. Assigning Meanings / 2. Semantics
The standard aim of semantics is to assign a semantic value to each expression [Fine,K]
     Full Idea: The aim of semantics, as standardly conceived, is to assign a semantic value to each (meaningful) expression of the language under consideration.
     From: Kit Fine (Semantic Relationism [2007], 1.G)
     A reaction: Fine is raising the difficulty that these values can get entangled with one another. He proposes 'semantic connections' as a better aim.
That two utterances say the same thing may not be intrinsic to them, but involve their relationships [Fine,K]
     Full Idea: In my 'Semantic Relationism' the fact that two utterances say the same thing is not entirely a matter of their intrinsic semantic features; it may also turn on semantic relationships among the utterances of their parts not reducible to those features.
     From: Kit Fine (Semantic Relationism [2007], Intro)
     A reaction: You'll need to read the book slowly several times to get the hang of this, but at least it allows that two different utterances might say the same thing (express the same proposition, I would say).
The two main theories are Holism (which is inferential), and Representational (which is atomistic) [Fine,K]
     Full Idea: For holists a proper theory will be broadly inferential, while for their opponents it will be representational in character, describing relations between expressions and reality. Representational semantics is atomist, holist semantics inferential.
     From: Kit Fine (Semantic Relationism [2007], Intro)
     A reaction: Fine presents these as the two main schools in semantics. His own theory then proposes a more holistic version of the Representational view. He seeks the advantages of Frege's position, but without 'sense'.
We should pursue semantic facts as stated by truths in theories (and not put the theories first!) [Fine,K]
     Full Idea: A 'semantics' is a body of semantic facts, and a 'semantic theory' is a body of semantic truths. The natural order is a theory being understood as truths, which state facts. Davidson, alas, reversed this order, with facts understood through theories.
     From: Kit Fine (Semantic Relationism [2007], 2.C)
     A reaction: [compressed; he cites Davidson 1967, and calls it 'one of the most unfortunate tendencies in modern philosophy of language, ..as if chemistry were understood in terms of formulae rather than chemical facts'].
Referentialist semantics has objects for names, properties for predicates, and propositions for connectives [Fine,K]
     Full Idea: The standard referentialist semantics for a language with names is that the semantic value of the name is the object, the content of a predicate is a property, and the content of a logical connective is an operation on propositions.
     From: Kit Fine (Semantic Relationism [2007], 2.F)
     A reaction: My particular bęte noire is the idea that every predicate names a property. It is the tyranny of having to have a comprehensive semantic theory that drives this implausible picture. And I don't see how an object can be a semantic value…
Fregeans approach the world through sense, Referentialists through reference [Fine,K]
     Full Idea: Fregeans emphasise an orientation towards the speaker: possession of sense makes language meaningful, and language relates to the world through sense. For the Referentialist its representational relationships make it meaningful, and relate it to the world
     From: Kit Fine (Semantic Relationism [2007], 2.G)
     A reaction: The Referentialist approach is for Kripkean fans of direct reference, rather than the Fregean reference through descriptions. I am inclined to favour the old-fashioned, deeply discredited, much mocked Fregean approach.
Semantics is either an assignment of semantic values, or a theory of truth [Fine,K]
     Full Idea: On one view, a semantics for a given language is taken to be an assignment of semantic values to its expressions; according to the other, a semantics is taken to be a theory of truth for that language.
     From: Kit Fine (Semantic Necessity [2010], Intro)
     A reaction: The first is Frege, the second Tarski via Davidson, says Fine. Fine argues against these as the correct alternatives, and says the distinction prevents us understanding what is really going on. He votes for semantics as giving 'semantic requirements'.
Semantics is a body of semantic requirements, not semantic truths or assigned values [Fine,K]
     Full Idea: Semantics should be conceived as a body of semantic requirements or facts - and not as a body of semantic truths, or as an assignment of semantic values.
     From: Kit Fine (Semantic Necessity [2010], 5)
     A reaction: The 'truths' view is Tarski, and the 'values' view is Frege. You'll have to read the Fine paper to grasp his subtle claim.
19. Language / C. Assigning Meanings / 7. Extensional Semantics
Referential semantics (unlike Fregeanism) allows objects themselves in to semantic requirements [Fine,K]
     Full Idea: What distinguishes the referential position in semantics from Fregeanism is that it makes use of de re semantic facts, in which it is required of an object itself that it enter into certain semantic requirements.
     From: Kit Fine (Semantic Necessity [2010], 5)
     A reaction: I have a repugnance to any sort of semantics that involves the objects themselves, even when dealing with proper names. If I talk of 'Napoleon', no small Frenchman is to be found anywhere in my sentences.
19. Language / C. Assigning Meanings / 8. Possible Worlds Semantics
If sentence content is all worlds where it is true, all necessary truths have the same content! [Fine,K]
     Full Idea: The content of a sentence is often identified with the set of possible worlds in which it is true, where the worlds are metaphysically possible. But this has the awkward consequence that all metaphysically necessary truths will have the same content.
     From: Kit Fine (Intro to 'Modality and Tense' [2005], p.10)
     A reaction: I've never understood how the content of a sentence could be a vast set of worlds, so I am delighted to see this proposal be torpedoed. That doesn't mean that truth conditions across possible worlds is not a promising notion.
19. Language / C. Assigning Meanings / 9. Indexical Semantics
I take indexicals such as 'this' and 'that' to be linked to some associated demonstration [Fine,K]
     Full Idea: Demonstrative uses of an indexical such as 'this' or 'that' should be taken to be anaphoric on an associated demonstration. It is a semantic requirement on the use of the indexical that it be coreferential with the demonstration.
     From: Kit Fine (Semantic Relationism [2007], Post 'Indexicals')
     A reaction: Similarly 'now' must connect to looking at a clock, and 'I' to pointing at some person. The demonstration could be of a verbal event, as much as a physical one.
19. Language / D. Propositions / 2. Abstract Propositions / b. Propositions as possible worlds
A proposition is a set of possible worlds where it is true [Lewis]
     Full Idea: I identify a proposition with the set of possible worlds where it is true.
     From: David Lewis (Causation [1973], p.193)
     A reaction: As it stands, I'm baffled by this. How can 'it is raining' be a set of possible worlds? I assume it expands to refer to the truth-conditions, among possibilities as well as actualities. 'It is raining' fits all worlds where it is raining.
A proposition is a set of entire possible worlds which instantiate a particular property [Lewis]
     Full Idea: I identify propositions with certain properties - namely, with those that are instantiated only by entire possible worlds. Then if properties generally are the sets of their instances, a proposition is a set of possible worlds.
     From: David Lewis (On the Plurality of Worlds [1986], 1.5)
     A reaction: I don't get this. How can the proposition that tomatoes are edible be an entire set of possible worlds? The proposition seems to be about tomatoes, and nothing else. Should we talk of 'possibilities', rather than of 'possible worlds'?
A proposition is the property of being a possible world where it holds true [Lewis]
     Full Idea: I identify propositions with properties that are instantiated only by entire possible worlds. If properties are the sets of their instances, a proposition is a set of possible worlds. A proposition is the property of being a world where it holds.
     From: David Lewis (On the Plurality of Worlds [1986], 1.5)
     A reaction: This is so far away from my concept of a proposition (as a truth-evaluable representational mental event) that I struggle to compute it. So the proposition that I am sitting here is the property of 'being the actual world'. Eh?
Propositions can't have syntactic structure if they are just sets of worlds [Lewis]
     Full Idea: If it is central to 'proposition' that there be quasi-syntactic structure, so that there are subject-predicate, or negative, or conjunctive, or quantified propositions, then sets of possible worlds will not do.
     From: David Lewis (On the Plurality of Worlds [1986], 1.5)
     A reaction: He proposes 'more complicated set-theoretic constructions out of possibilia' instead. I am very much committed to propositions having quasi-syntactic structure.
19. Language / D. Propositions / 5. Unity of Propositions
A proposition ingredient is 'essential' if changing it would change the truth-value [Fine,K]
     Full Idea: A proposition essentially contains a given constituent if its replacement by some other constituent induces a shift in truth value. Thus Socrates is essential to the proposition that Socrates is a philosopher, but not to Socrates is self-identical.
     From: Kit Fine (The Question of Realism [2001], 6)
     A reaction: In this view the replacement of 'is' by 'isn't' would make 'is' (or affirmation) part of the essence of most propositions. This is about linguistic essence, rather than real essence. It has the potential to be trivial. Replace 'slightly' by 'fairly'?
19. Language / E. Analyticity / 2. Analytic Truths
The meaning of 'bachelor' is irrelevant to the meaning of 'unmarried man' [Fine,K]
     Full Idea: Strictly speaking it is irrelevant to the meaning of 'bachelor' that the phrase 'unmarried man' means what it does.
     From: Kit Fine (Essence and Modality [1994], p.13)
     A reaction: His point is that the necessary truth here derives from the meaning of 'bachelor', and not from the meaning of 'unmarried man'. But is also true that 'unmarried man' means 'bachelor' (for those familiar with the latter, but not the former).
Analytic truth may only be true in virtue of the meanings of certain terms [Fine,K]
     Full Idea: Just as a necessary truth may be true in virtue of the identity of certain objects as opposed to others, so an analytic truth may be true in virtue of the meanings of certain terms as opposed to others (such as 'bachelor' rather than 'unmarried').
     From: Kit Fine (Essence and Modality [1994], p.10)
     A reaction: This is a beautifully simple observation, that the necessity of 'bachelors are unmarried men' derives from part of the proposition, not from the whole of it. So what is it about the part that generates the apparent necessity? The nature of the concept!
19. Language / E. Analyticity / 4. Analytic/Synthetic Critique
The Quinean doubt: are semantics and facts separate, and do analytic sentences have no factual part? [Fine,K]
     Full Idea: The source of the Quinean scepticism about analytic and synthetic is, first, scepticism over whether we can factor truth into a semantic and a factual component, and (second) if we can, is the factual component ever null?
     From: Kit Fine (Semantic Necessity [2010], 1)
     A reaction: You certainly can't grasp 'bachelors are unmarried men' if you haven't grasped the full Woosterian truth about men and marriage. But I could interdefine four meaningless words, so that you could employ them in analytic sentences.
19. Language / F. Communication / 6. Interpreting Language / c. Principle of charity
We need natural properties in order to motivate the principle of charity [Lewis]
     Full Idea: We need natural properties, so that the principle of charity will impute a bias towards believing that things are green rather than grue, and towards a basic desire for long life, rather than long-life-unless-one-was-born-on-a-Monday....
     From: David Lewis (New work for a theory of universals [1983], 'Cont of L')
     A reaction: Lewis always seems to be approaching things from the wrong end. We don't need properties so that we can attribute charity, so that we can interpret. We interpret, because we can be charitable, because we all experience natural properties.
A sophisticated principle of charity sometimes imputes error as well as truth [Lewis]
     Full Idea: Unlike principles of crude charity, sophisticated principles of charity call for imputations of error in the subject if he has lived in deceptive conditions.
     From: David Lewis (New work for a theory of universals [1983], 'Cont of L')
     A reaction: This begs lots of questions about how you decide conditions are 'deceptive' if you have not yet embarked on your radical interpretation of the subject. Davidson's point still stands, that imputing truth must be the normal procedure.
Basic to pragmatics is taking a message in a way that makes sense of it [Lewis]
     Full Idea: The cardinal principle of pragmatics is that the right way to take what is said, if at all possible, is the way that makes sense of the message.
     From: David Lewis (Many, but almost one [1993], 'A better solution')
     A reaction: Thus when someone misuses a word, suggesting nonsense, we gloss over it, often without even mentioning it, because the underlying sense is obvious. A good argument for the existence of propositions. Lewis doesn't mention truth.
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / a. Greek matter
The components of abstract definitions could play the same role as matter for physical objects [Fine,K]
     Full Idea: If one considers Aristotle's standard example of a definition, then it is plausible that its defining terms ('plane figure' in the case of a circle) should be constitutive of it in the same general way as physical matter constitutes something physical.
     From: Kit Fine (Aristotle on Matter [1992], 1)
     A reaction: It strikes me that an appropriate translation for the Greek 'hule' might be the English 'ingredients', since Fine seems to be right about the broad application of hule in Aristotle.
26. Natural Theory / C. Causation / 1. Causation
Causation is a general relation derived from instances of causal dependence [Lewis]
     Full Idea: Causation is the ancestral of causal dependence: event c causes event e iff either e depends on c, or e depends on an intermediate event which in turn depends on c, or....
     From: David Lewis (Events [1986], I)
     A reaction: This is Lewis making sure that we don't postulate some huge bogus thing called 'Causation' which is supposed to be in charge of Nature. Good point.
26. Natural Theory / C. Causation / 2. Types of cause
Explaining match lighting in general is like explaining one lighting of a match [Lewis]
     Full Idea: Explaining why struck matches light in general is not so very different from explaining why some particular struck match lit. ...We may generalize modestly, without laying claim to universality.
     From: David Lewis (Causal Explanation [1986], IV)
     A reaction: A suggestive remark, since particular causation and general causation seem far apart, but Lewis suggests that the needs of explanation bring them together. Lawlike and unlawlike explanations?
Causation is either direct realism, Humean reduction, non-Humean reduction or theoretical realism [Tooley]
     Full Idea: The main approaches to causation I shall refer to as direct realism, Humean reductionism, non-Humean reductionism, and indirect or theoretical realism.
     From: Michael Tooley (Causation and Supervenience [2003], 2)
     A reaction: The first simply observes causation (Anscombe), the second reduces it to regularity (Hume), the third reduces it to other natural features (Fair, Salmon, Dowe), the fourth takes an instrumental approach (Armstrong, Tooley). I favour the third approach.
Causation distinctions: reductionism/realism; Humean/non-Humean states; observable/non-observable [Tooley]
     Full Idea: The three main distinctions concerning causation are between reductionism and realism; between Humean and non-Humean states of affairs; and between states that are immediately observable and those that are not.
     From: Michael Tooley (Causation and Supervenience [2003], 2)
     A reaction: I favour reductionism over realism, because I like the question 'If x is real, what is it made of?' I favour non-Humean states of affairs, because I think constant conjunction is very superficial. I presume the existence of non-observable components.
26. Natural Theory / C. Causation / 4. Naturalised causation
Reductionists can't explain accidents, uninstantiated laws, probabilities, or the existence of any laws [Tooley]
     Full Idea: Reductionist accounts of causation cannot distinguish laws from accidental uniformities, cannot allow for basic uninstantiated laws, can't explain probabilistic laws, and cannot even demonstrate the existence of laws.
     From: Michael Tooley (Causality: Reductionism versus Realism [1990], 2)
     A reaction: I am tempted to say that this is so much the worse for the idea of laws. Extensive regularities only occur for a reason. Probabilities aren't laws. Hypothetical facts will cover uninstantiated laws. Laws are just patterns.
26. Natural Theory / C. Causation / 5. Direction of causation
A theory of causation should explain why cause precedes effect, not take it for granted [Lewis, by Field,H]
     Full Idea: Lewis thinks it is a major defect in a theory of causation that it builds in the condition that the time of the cause precede that of the effect: that cause precedes effect is something we ought to explain (which his counterfactual theory claims to do).
     From: report of David Lewis (Causation [1973]) by Hartry Field - Causation in a Physical World
     A reaction: My immediate reaction is that the chances of explaining such a thing are probably nil, and that we might as well just accept the direction of causation as a given. Even philosophers balk at the question 'why doesn't time go backwards?'
I reject making the direction of causation axiomatic, since that takes too much for granted [Lewis]
     Full Idea: One might stipulate that a cause must always precede its effect, but I reject this solution. It won't solve the problem of epiphenomena, it rejects a priori any backwards causation, and it trivializes defining time-direction through causation.
     From: David Lewis (Causation [1973], p.203)
     A reaction: [compressed] Not strong arguments, I would say. Maybe apparent causes are never epiphenomenal. Maybe backwards causation is impossible. Maybe we must use time to define causal direction, and not vice versa.
There are few traces of an event before it happens, but many afterwards [Lewis, by Horwich]
     Full Idea: Lewis claims that most events are over-determined by subsequent states of the world, but not by their history. That is, the future of every event contains many independent traces of its occurrence, with little prior indication that it would happen.
     From: report of David Lewis (Counterfactual Dependence and Time's Arrow [1979]) by Paul Horwich - Lewis's Programme p.209
     A reaction: Lewis uses this asymmetry to deduce the direction of causation, and hence the direction of time. Most people (including me, I think) would prefer to use the axiomatic direction of time to deduce directions of causation. Lewis was very wicked.
We can only reduce the direction of causation to the direction of time if we are realist about the latter [Tooley]
     Full Idea: A reductionist can hold that the direction of causation is to be defined in terms of the direction of time; but this response is only available if one is prepared to adopt a realist view of the direction of time.
     From: Michael Tooley (Causation and Supervenience [2003], 4.2.1.2)
     A reaction: A nice illustration of the problems that arise if we try to be reductionist about everything. Personally I prefer my realism to be about time rather than about causation. Time, I would say, makes causation possible, not the other way around.
26. Natural Theory / C. Causation / 8. Particular Causation / a. Observation of causation
Causation is directly observable in pressure on one's body, and in willed action [Tooley]
     Full Idea: The arguments in favour of causation being observable appeal especially to the impression of pressure upon one's body, and to one's introspective awareness of willing, together with the perception of the event which one willed.
     From: Michael Tooley (Causation and Supervenience [2003], 3)
     A reaction: [He cites Evan Fagels] Anscombe also cites words which have causality built into their meaning. This would approach would give priority to mental causation, and would need to demonstrate that similar things happen out in the world.
26. Natural Theory / C. Causation / 8. Particular Causation / d. Selecting the cause
It is just individious discrimination to pick out one cause and label it as 'the' cause [Lewis]
     Full Idea: We sometimes single out one among all the causes of some event and call it 'the' cause. ..We may select the abnormal causes, or those under human control, or those we deem good or bad, or those we want to talk about. This is invidious discrimination.
     From: David Lewis (Causation [1973])
     A reaction: This is the standard view expressed by Mill - presumably the obvious empiricist line. But if we specify 'the pre-conditions' for an event, we can't just mention ANY fact prior to the effect - there is obvious relevance. So why not for 'the' cause as well?
The modern regularity view says a cause is a member of a minimal set of sufficient conditions [Lewis]
     Full Idea: In present-day regularity analyses, a cause is defined (roughly) as any member of any minimal set of actual conditions that are jointly sufficient, given the laws, for the existence of the effect.
     From: David Lewis (Causation [1973], p.193)
     A reaction: This is the view Lewis is about to reject. It seem to summarise the essence of the Mackie INUS theory. This account would make the presence of oxygen a cause of almost every human event.
We only pick 'the' cause for the purposes of some particular enquiry. [Lewis]
     Full Idea: Disagreement about 'the' cause is only disagreement about which part of the causal history is most salient for the purposes of some particular inquiry.
     From: David Lewis (Causal Explanation [1986], I)
     A reaction: I don't believe this. In the majority of cases I see the cause of an event, without having any interest in any particular enquiry. It is just so obvious that there isn't even a disagreement. Maybe there is only one sensible enquiry.
Ways of carving causes may be natural, but never 'right' [Lewis]
     Full Idea: There is no one right way - though there may be more or less natural ways - of carving up a causal history.
     From: David Lewis (Causal Explanation [1986], I)
     A reaction: This invites a distinction between the 'natural' causes and the 'real' causes. Presumably if any causes were 'real', they would have a better claim to be 'right'. Is an earthquake the 'real' (correct?) cause of a tsunami?
26. Natural Theory / C. Causation / 8. Particular Causation / e. Probabilistic causation
Quantum physics suggests that the basic laws of nature are probabilistic [Tooley]
     Full Idea: Quantum physics seems to lend strong support to the idea that the basic laws of nature may well be probabilistic.
     From: Michael Tooley (Causality: Reductionism versus Realism [1990], 3.2.1)
     A reaction: Groan. Quantum physics should be outlawed from all philosophical discussions. The scientists don't understand it themselves. I'm certainly not going to build my worldview on it. I don't accept that these probabilities could count as 'laws'.
Probabilist laws are compatible with effects always or never happening [Tooley]
     Full Idea: If laws of causation are probabilistic then the law does not entail any restrictions upon the proportion of events that follow a cause: ...it can have absolutely any value from zero to one.
     From: Michael Tooley (Causation and Supervenience [2003], 4.1.3)
     A reaction: This objection applies to an account of laws of nature, and also to definitions of causes as events which increase probabilities. One needn't be fully committed to natural necessity, but it must form some part of the account.
The actual cause may not be the most efficacious one [Tooley]
     Full Idea: A given type of state may be causally efficacious, but not as efficacious as an alternative states, so it is not true that even a direct cause need raise the probability of its effect.
     From: Michael Tooley (Causation and Supervenience [2003], 6.2.4)
     A reaction: My intuition is that explaining causation in terms of probabilities entirely misses the point, which mainly concerns explaining the sense of necessitation in a cause. This idea give me a good reason for my intuition.
26. Natural Theory / C. Causation / 9. General Causation / a. Constant conjunction
Regularity analyses could make c an effect of e, or an epiphenomenon, or inefficacious, or pre-empted [Lewis]
     Full Idea: In the regularity analysis of causes, instead of c causing e, c might turn out to be an effect of e, or an epiphenomenon, or an inefficacious effect of a genuine cause, or a pre-empted cause (by some other cause) of e.
     From: David Lewis (Causation [1973], p.194)
     A reaction: These are Lewis's reasons for rejecting the general regularity account, in favour of his own particular counterfactual account. It is unlikely that c would be regularly pre-empted or epiphenomenal. If we build time's direction in, it won't be an effect.
In counterfactual worlds there are laws with no instances, so laws aren't supervenient on actuality [Tooley]
     Full Idea: If a counterfactual holds in a possible world, that is presumably because a law holds in that world, which means there could be basic causal laws that lack all instances. But then causal laws cannot be totally supervenient on the history of the universe.
     From: Michael Tooley (Causation and Supervenience [2003], 4.1.2)
     A reaction: A nice argument, which sounds like trouble for Lewis. One could deny that the laws have to hold in the counterfactual worlds, but then we wouldn't be able to conceive them.
26. Natural Theory / C. Causation / 9. General Causation / b. Nomological causation
Explaining causation in terms of laws can't explain the direction of causation [Tooley]
     Full Idea: The most serious objection to any account of causation in terms of nomological relations alone is that it can't provide any account of the direction of causation.
     From: Michael Tooley (Causation and Supervenience [2003], 5.1)
     A reaction: Cf. Idea 8393. I am not convinced that there could be an 'account' of the direction of causation, so I am inclined to take it as given. If we take 'powers' (active properties) as basic, they would have a direction built into them.
Causation is a concept of a relation the same in all worlds, so it can't be a physical process [Tooley]
     Full Idea: Against the view that causation is a particular physical process, might it not be argued that the concept of causation is the concept of a relation that possesses a certain intrinsic nature, so that causation must be the same in all possible worlds?
     From: Michael Tooley (Causation and Supervenience [2003], 5.4)
     A reaction: This makes the Humean assumption that laws of nature might be wildly different. I think it is perfectly possible that physical processes are the only way that causation could occur. Alternatively, the generic definition of 'cause' is just very vague.
26. Natural Theory / C. Causation / 9. General Causation / c. Counterfactual causation
The counterfactual view says causes are necessary (rather than sufficient) for their effects [Lewis, by Bird]
     Full Idea: The Humean idea, developed by Lewis, is that rather than being sufficient for their effects, causes are (counterfactual) necessary for their effects.
     From: report of David Lewis (Causation [1973]) by Alexander Bird - Causation and the Manifestation of Powers p.162
Lewis has basic causation, counterfactuals, and a general ancestral (thus handling pre-emption) [Lewis, by Bird]
     Full Idea: Lewis's basic account has a basic causal relation, counterfactual dependence, and the general causal relation is the ancestral of this basic one. ...This is motivated by counterfactual dependence failing to be general because of the pre-emption problem.
     From: report of David Lewis (Causation [1973]) by Alexander Bird - Causation and the Manifestation of Powers p.161
     A reaction: It is so nice when you struggle for ages with a topic, and then some clever person summarises it clearly for you.
Counterfactual causation implies all laws are causal, which they aren't [Tooley on Lewis]
     Full Idea: Some counterfactuals are based on non-causal laws, such as Newton's Third Law of Motion. 'If no force one way, then no force the other'. Lewis's counterfactual analysis implies that one force causes the other, which is not the case.
     From: comment on David Lewis (Causation [1973]) by Michael Tooley - Causation and Supervenience 5.2
     A reaction: So what exactly does 'cause' my punt to move forwards? Basing causal laws on counterfactual claims looks to me like putting the cart before the horse.
My counterfactual analysis applies to particular cases, not generalisations [Lewis]
     Full Idea: My (counterfactual) analysis is meant to apply to causation in particular cases; it is not an analysis of causal generalizations. Those presumably quantify over particulars, but it is hard to match natural language to the quantifiers.
     From: David Lewis (Causation [1973], p.195)
     A reaction: What authority could you have for asserting a counterfactual claim, if you only had one observation? Isn't the counterfactual claim the hallmark of a generalisation? For one case, 'if not-c, then not-e' is just a speculation.
One event causes another iff there is a causal chain from first to second [Lewis]
     Full Idea: One event is the cause of another iff there exists a causal chain leading from the first to the second.
     From: David Lewis (Causation [1973], p.200)
     A reaction: It will be necessary to both explain and identify a 'chain'. Some chains are extremely tenuous (Alexander could stop a barrel of beer). Go back a hundred years, and the cause of any present event is everything back then.
Counterfactuals 'backtrack' if a different present implies a different past [Lewis]
     Full Idea: A counterfactual can be said to 'backtrack' if it can be said that if the present were different a different past would have led up to it (rather than if the present were different, the same past would have had a different outcome).
     From: David Lewis (New work for a theory of universals [1983], 'Dup,Sup,Div')
     A reaction: A nice clear definition of a concept which is important in Lewis's analysis of causation. In the current context he is concerned with elucidation of determinism and materialism. I would say (intuitively) that all counterfactuals backtrack.
Causal dependence is counterfactual dependence between events [Lewis]
     Full Idea: I take causal dependence to be counterfactual dependence, of a suitably back-tracking sort, between distinct events.
     From: David Lewis (Causal Explanation [1986], I)
     A reaction: He quotes Hume in support. 'Counterfactual dependence' strikes me as too vague, or merely descriptive, for the job of explanation. 'If...then' is a logical relationship; what is it in nature that justifies the dependency?
Causal counterfactuals must avoid backtracking, to avoid epiphenomena and preemption [Lewis]
     Full Idea: My counterfactual analysis of causation needs counterfactuals that avoid backtracking; else the analysis faces fatal counterexamples involving epiphenomenal side-effects or cases of causal preemption.
     From: David Lewis (New work for a theory of universals [1983], 'Laws and C')
     A reaction: The concept of true epiphenomena (absolutely no causal powers) strikes me as bogus.
Causation is when at the closest world without the cause, there is no effect either [Lewis]
     Full Idea: If it is the case at world W that if event C had not occurred, E would not have occurred either, then the counterfactual means that at the closest worlds to W at which C does not occur, E does not occur either.
     From: David Lewis (On the Plurality of Worlds [1986], 1.6)
     A reaction: This is a very Humean account, though updated, which sees nothing more to causation than transworld regularities. To me that is just describing the evidence for causation, not giving an account of it (even if the latter is impossible).
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
Physics aims for a list of natural properties [Lewis]
     Full Idea: Physics aspires to give an inventory of natural properties.
     From: David Lewis (New work for a theory of universals [1983], 'Dup,Sup,Div')
     A reaction: The sort of beautifully simple remark by which philosophers ought to earn a good living in the intellectual community. Come on physicists - this is all we want! Presumably the inventory will include an account of how they all work.
Physics discovers laws and causal explanations, and also the natural properties required [Lewis]
     Full Idea: Physics must not just discover laws and causal explanations. In putting forward as comprehensive theories that recognise only a limited range of natural properties, physics proposes inventories of the natural properties instantiated in our world.
     From: David Lewis (New work for a theory of universals [1983], 'Min Mat')
     A reaction: Physics does this job extremely well, offering things like force, spin, charge that are the building blocks for their theories. There is metaphysics at the heart of physics, unavoidably.
26. Natural Theory / D. Laws of Nature / 4. Regularities / a. Regularity theory
We identify laws with regularities because we mistakenly identify causes with their symptoms [Fine,K]
     Full Idea: There is a common tendency to identify a cause with its symptoms. Hence we are not sure how to characterise a law, and so we identify it with the regularities to which it gives rise.
     From: Kit Fine (Vagueness: a global approach [2020], 1)
     A reaction: A lovely clear identification of my pet hate, which is superficial accounts of things, which claim to be the last word, but actually explain nothing.
26. Natural Theory / D. Laws of Nature / 4. Regularities / b. Best system theory
A law of nature is any regularity that earns inclusion in the ideal system [Lewis]
     Full Idea: A law of nature is any regularity that earns inclusion in the ideal system (or, in case of ties, in every ideal system).
     From: David Lewis (New work for a theory of universals [1983], 'Laws and C')
     A reaction: Reminiscent of Peirce's view of truth (Idea 7661). This wouldn't seem to eliminate the danger of regularities with underlying causes ending up as laws (day causes night). Or very trivial regularities ending up as laws.
A law of nature is a general axiom of the deductive system that is best for simplicity and strength [Lewis]
     Full Idea: A contingent generalization is a law of nature if and only if it appears as a theorem (or axiom) in each of the true deductive systems that achieves a best combination of simplicity and strength.
     From: David Lewis (Counterfactuals [1973], 3.3)
Laws are the best axiomatization of the total history of world events or facts [Lewis, by Mumford]
     Full Idea: The Mill-Ramsey-Lewis theory takes laws to be axioms (or theorems) of the best possible systematizations of the world's total history, where such a history is a history of events or facts.
     From: report of David Lewis (Psychophysical and theoretical identifications [1972]) by Stephen Mumford - Laws in Nature 1.3
If simplicity and strength are criteria for laws of nature, that introduces a subjective element [Mumford on Lewis]
     Full Idea: Lewis's simplicity and strength criteria introduce an element of subjectivity into the laws, because the best system seems to be determined by what we take to be simple and strong in a system.
     From: comment on David Lewis (Psychophysical and theoretical identifications [1972]) by Stephen Mumford - Laws in Nature 3.5
     A reaction: [Mumford cites Armstrong 1983:67 for this]
A number of systematizations might tie as the best and most coherent system [Mumford on Lewis]
     Full Idea: Since the best system view is a coherence theory, the possibility could not be ruled out that a number of different systematizations of the same history might be tied for first place as equally best.
     From: comment on David Lewis (Psychophysical and theoretical identifications [1972]) by Stephen Mumford - Laws in Nature 3.5
     A reaction: [Mumord cites Armstrong 1983:70] Personally I am a fan of coherence theories, and this problem doesn't bother me.
Lewis later proposed the axioms at the intersection of the best theories (which may be few) [Mumford on Lewis]
     Full Idea: Later Lewis said we must choose between the intersection of the axioms of the tied best systems. He chose for laws the axioms that are in all the tied systems (but then there may be few or no axioms in the intersection).
     From: comment on David Lewis (Subjectivist's Guide to Objective Chance [1980], p.124) by Stephen Mumford - Laws in Nature
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
Causation is easier to disrupt than logic, so metaphysics is part of nature, not vice versa [Fine,K]
     Full Idea: It would be harder to break P-and-Q implying P than the connection between cause and effect. This difference in strictness means it is more plausible that natural necessities include metaphysical necessities, than vice versa.
     From: Kit Fine (The Varieties of Necessity [2002], 6)
     A reaction: I cannot see any a priori grounds for the claim that causation is more easily disrupted than logic. It seems to be based on the strategy of inferring possibilities from what can be imagined, which seems to me to lead to wild misunderstandings.
26. Natural Theory / D. Laws of Nature / 9. Counterfactual Claims
An event causes another just if the second event would not have happened without the first [Lewis, by Psillos]
     Full Idea: Lewis gives an account of causation in terms of counterfactual conditionals (roughly, an event c causes an event e iff if c had not happened then e would not have happened either).
     From: report of David Lewis (works [1973]) by Stathis Psillos - Causation and Explanation Intro
     A reaction: This feels wrong to me. It is a version of Humean constant conjunction, but counterfactuals are too much a feature of our minds, and not sufficiently a feature of the world, to do this job. Tricky.
Lewis's account of counterfactuals is fine if we know what a law of nature is, but it won't explain the latter [Cohen,LJ on Lewis]
     Full Idea: Lewis can elucidate the logic of counterfactuals on the assumption that you are not at all puzzled about what a law of nature is. But if you are puzzled about this, it cannot contribute anything towards resolving your puzzlement.
     From: comment on David Lewis (Causation [1973]) by L. Jonathan Cohen - The Problem of Natural Laws p.219
     A reaction: This seems like a penetrating remark. The counterfactual theory is wrong, partly because it is epistemological instead of ontological, and partly because it refuses to face the really difficult problem, of what is going on out there.
26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature
The world is just a vast mosaic of little matters of local particular fact [Lewis]
     Full Idea: The world is a vast mosaic of local matters of particular fact, just one little thing and then another.
     From: David Lewis (Introduction to Philosophical Papers II [1986])
     A reaction: Basing laws on this picture is what Lewis calls 'Humean Supervenience'.
27. Natural Reality / D. Time / 1. Nature of Time / g. Growing block
It is quite implausible that the future is unreal, as that would terminate everything [Lewis]
     Full Idea: It is hard to believe that any philosopher means it when they say the future is unreal. If anyone is right that there is no future, that moment is their last, and it is the end of everything.
     From: David Lewis (On the Plurality of Worlds [1986], 4.2)
     A reaction: A bit simplistic. I might say 'there will be a future time, but it doesn't exist now'. That's the peculiar thing about time. If I say New York doesn't exist, then clearly I can't visit it. The London 2012 Olympic Stadium is going to exist.
27. Natural Reality / D. Time / 2. Passage of Time / c. Tenses and time
A-theorists tend to reject the tensed/tenseless distinction [Fine,K]
     Full Idea: Most A-theorists have been inclined to reject the tensed/tenseless distinction.
     From: Kit Fine (Necessity and Non-Existence [2005], 01)
     A reaction: Presumably this is because they reject the notion of 'tenseless' truths. But sentences like 'two and two make four' seem not to be very tensy.
It is said that in the A-theory, all existents and objects must be tensed, as well as the sentences [Fine,K]
     Full Idea: It is said that there is no room in the A-theorists' ontology for a realm of timeless existents. Just as there is a tendency to think that every sentence is tensed, so there is a tendency to think that every object must enjoy a tensed form of existence.
     From: Kit Fine (Necessity and Non-Existence [2005], 10)
     A reaction: Fine is arguing for certain things to exist or be true independently of time (such as arithmetic, or essential identities). I struggle with the notion of timeless existence.
27. Natural Reality / D. Time / 2. Passage of Time / f. Tenseless (B) series
B-theorists say tensed sentences have an unfilled argument-place for a time [Fine,K]
     Full Idea: B-theorists regard tensed sentences as incomplete expressions, implicitly containing an unfilled argument-place for the time at which they are to be evaluated.
     From: Kit Fine (Necessity and Non-Existence [2005], 01)
     A reaction: To distinguish past from future it looks as if you would need two argument-places, not one. Then there are 'used to be' and 'had been' to evaluate.
27. Natural Reality / D. Time / 2. Passage of Time / j. Time travel
The interesting time travel is when personal and external time come apart [Lewis, by Baron/Miller]
     Full Idea: Lewis says a journey only counts as interesting time travel if there is a disparity between personal time and external time. …It is also necessary that the person at the beginning of the journey is the same as the person at the end of the journey.
     From: report of David Lewis (The paradoxes of time travel [1976]) by Baron,S/Miller,K - Intro to the Philosophy of Time
     A reaction: Other cases would presumably be the whole of time accelerating or slowing, or going into reverse.
Lewis said it might just be that travellers to the past can't kill their grandfathers [Lewis, by Baron/Miller]
     Full Idea: Lewis denied that the grandfather paradox makes time travel impossible. Time travel does not entail that it is possible to kill your grandfather. Maybe the traveller fails in their attempt every time they try to do it.
     From: report of David Lewis (The paradoxes of time travel [1976]) by Baron,S/Miller,K - Intro to the Philosophy of Time 8.2
     A reaction: The problem with this answer is that killing the grandfather is only an extreme case of making any change in the past which ripples forward into the present. Virtually all changes by the time traveller would be impossible (though not contradictory).