70 ideas
| 13860 | We can only learn from philosophers of the past if we accept the risk of major misrepresentation [Wright,C] |
| Full Idea: We can learn from the work of philosophers of other periods only if we are prepared to run the risk of radical and almost inevitable misrepresentation of his thought. | |
| From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], Pref) | |
| A reaction: This sounds about right, and a motto for my own approach to Aristotle and Leibniz, but I see the effort as more collaborative than this suggests. Professional specialists in older philosophers are a vital part of the team. Read them! |
| 8558 | One system has properties, powers, events, similarity and substance [Shoemaker] |
| Full Idea: There is a system of internally related concepts containing the notion of a property, the notion of a causal power, the concept of an event, the concept of similarity, and the concept of a persisting substance. | |
| From: Sydney Shoemaker (Causality and Properties [1980], §07) | |
| A reaction: A nice example of a modern metaphysical system, one which I find fairly congenial. His notion of events is Kim's, which involves his properties. The persisting substance is the one I am least clear about. |
| 8559 | Analysis aims at internal relationships, not reduction [Shoemaker] |
| Full Idea: The goal of philosophical analysis should not be reductive analysis but rather the charting of internal relationships. | |
| From: Sydney Shoemaker (Causality and Properties [1980], §07) | |
| A reaction: See Idea 8558 for an attempt by Shoemaker himself. The idea that there has never been a successful analysis has become a truism among pessimistic analytic philosophers. But there are wonderful relationship maps (Quine, Davidson, Lewis, Lowe). |
| 13883 | The best way to understand a philosophical idea is to defend it [Wright,C] |
| Full Idea: The most productive way in which to attempt an understanding of any philosophical idea is to work on its defence. | |
| From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 1.vii) | |
| A reaction: Very nice. The key point is that this brings greater understanding than working on attacking an idea, which presumably has the dangers of caricature, straw men etc. It is the Socratic insight that dialectic is the route to wisdom. |
| 10142 | The attempt to define numbers by contextual definition has been revived [Wright,C, by Fine,K] |
| Full Idea: Frege gave up on the attempt to introduce natural numbers by contextual definition, but the project has been revived by neo-logicists. | |
| From: report of Crispin Wright (Frege's Concept of Numbers as Objects [1983]) by Kit Fine - The Limits of Abstraction II |
| 9868 | An expression refers if it is a singular term in some true sentences [Wright,C, by Dummett] |
| Full Idea: For Wright, an expression refers to an object if it fulfils the 'syntactic role' of a singular term, and if we have fixed the truth-conditions of sentences containing it in such a way that some of them come out true. | |
| From: report of Crispin Wright (Frege's Concept of Numbers as Objects [1983]) by Michael Dummett - Frege philosophy of mathematics Ch.15 | |
| A reaction: Much waffle is written about reference, and it is nice to hear of someone actually trying to state the necessary and sufficient conditions for reference to be successful. So is it possible for 'the round square' to ever refer? '...is impossible to draw' |
| 18946 | Unreflectively, we all assume there are nonexistents, and we can refer to them [Reimer] |
| Full Idea: As speakers of the language, we unreflectively assume that there are nonexistents, and that reference to them is possible. | |
| From: Marga Reimer (The Problem of Empty Names [2001], p.499), quoted by Sarah Sawyer - Empty Names 4 | |
| A reaction: Sarah Swoyer quotes this as a good solution to the problem of empty names, and I like it. It introduces a two-tier picture of our understanding of the world, as 'unreflective' and 'reflective', but that seems good. We accept numbers 'unreflectively'. |
| 13861 | Number theory aims at the essence of natural numbers, giving their nature, and the epistemology [Wright,C] |
| Full Idea: In the Fregean view number theory is a science, aimed at those truths furnished by the essential properties of zero and its successors. The two broad question are then the nature of the objects, and the epistemology of those facts. | |
| From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], Intro) | |
| A reaction: [compressed] I pounce on the word 'essence' here (my thing). My first question is about the extent to which the natural numbers all have one generic essence, and the extent to which they are individuals (bless their little cotton socks). |
| 13892 | One could grasp numbers, and name sizes with them, without grasping ordering [Wright,C] |
| Full Idea: Someone could be clear about number identities, and distinguish numbers from other things, without conceiving them as ordered in a progression at all. The point of them would be to make comparisons between sizes of groups. | |
| From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 3.xv) | |
| A reaction: Hm. Could you grasp size if you couldn't grasp which of two groups was the bigger? What's the point of noting that I have ten pounds and you only have five, if you don't realise that I have more than you? You could have called them Caesar and Brutus. |
| 13867 | Instances of a non-sortal concept can only be counted relative to a sortal concept [Wright,C] |
| Full Idea: The invitation to number the instances of some non-sortal concept is intelligible only if it is relativised to a sortal. | |
| From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 1.i) | |
| A reaction: I take this to be an essentially Fregean idea, as when we count the boots when we have decided whether they fall under the concept 'boot' or the concept 'pair'. I also take this to be the traditional question 'what units are you using'? |
| 17441 | Wright thinks Hume's Principle is more fundamental to cardinals than the Peano Axioms are [Wright,C, by Heck] |
| Full Idea: Wright is claiming that HP is a special sort of truth in some way: it is supposed to be the fundamental truth about cardinality; ...in particular, HP is supposed to be more fundamental, in some sense than the Dedekind-Peano axioms. | |
| From: report of Crispin Wright (Frege's Concept of Numbers as Objects [1983]) by Richard G. Heck - Cardinality, Counting and Equinumerosity 1 | |
| A reaction: Heck notes that although PA can be proved from HP, HP can be proven from PA plus definitions, so direction of proof won't show fundamentality. He adds that Wright thinks HP is 'more illuminating'. |
| 13862 | There are five Peano axioms, which can be expressed informally [Wright,C] |
| Full Idea: Informally, Peano's axioms are: 0 is a number, numbers have a successor, different numbers have different successors, 0 isn't a successor, properties of 0 which carry over to successors are properties of all numbers. | |
| From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], Intro) | |
| A reaction: Each statement of the famous axioms is slightly different from the others, and I have reworded Wright to fit him in. Since the last one (the 'induction axiom') is about properties, it invites formalization in second-order logic. |
| 17853 | Number truths are said to be the consequence of PA - but it needs semantic consequence [Wright,C] |
| Full Idea: The intuitive proposal is the essential number theoretic truths are precisely the logical consequences of the Peano axioms, ...but the notion of consequence is a semantic one...and it is not obvious that we possess a semantic notion of the requisite kind. | |
| From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], Intro) | |
| A reaction: (Not sure I understand this, but it is his starting point for rejecting PA as the essence of arithmetic). |
| 17854 | What facts underpin the truths of the Peano axioms? [Wright,C] |
| Full Idea: We incline to think of the Peano axioms as truths of some sort; so there has to be a philosophical question how we ought to conceive of the nature of the facts which make those statements true. | |
| From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], Intro) | |
| A reaction: [He also asks about how we know the truths] |
| 13894 | Sameness of number is fundamental, not counting, despite children learning that first [Wright,C] |
| Full Idea: We teach our children to count, sometimes with no attempt to explain what the sounds mean. Doubtless it is this habit which makes it so natural to think of the number series as fundamental. Frege's insight is that sameness of number is fundamental. | |
| From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 3.xv) | |
| A reaction: 'When do children understand number?' rather than when they can recite numerals. I can't make sense of someone being supposed to understand number without a grasp of which numbers are bigger or smaller. To make 13='15' do I add or subtract? |
| 10140 | We derive Hume's Law from Law V, then discard the latter in deriving arithmetic [Wright,C, by Fine,K] |
| Full Idea: Wright says the Fregean arithmetic can be broken down into two steps: first, Hume's Law may be derived from Law V; and then, arithmetic may be derived from Hume's Law without any help from Law V. | |
| From: report of Crispin Wright (Frege's Concept of Numbers as Objects [1983]) by Kit Fine - The Limits of Abstraction I.4 | |
| A reaction: This sounds odd if Law V is false, but presumably Hume's Law ends up as free-standing. It seems doubtful whether the resulting theory would count as logic. |
| 8692 | Frege has a good system if his 'number principle' replaces his basic law V [Wright,C, by Friend] |
| Full Idea: Wright proposed removing Frege's basic law V (which led to paradox), replacing it with Frege's 'number principle' (identity of numbers is one-to-one correspondence). The new system is formally consistent, and the Peano axioms can be derived from it. | |
| From: report of Crispin Wright (Frege's Concept of Numbers as Objects [1983]) by Michčle Friend - Introducing the Philosophy of Mathematics 3.7 | |
| A reaction: The 'number principle' is also called 'Hume's principle'. This idea of Wright's resurrected the project of logicism. The jury is ought again... Frege himself questioned whether the number principle was a part of logic, which would be bad for 'logicism'. |
| 17440 | Wright says Hume's Principle is analytic of cardinal numbers, like a definition [Wright,C, by Heck] |
| Full Idea: Wright intends the claim that Hume's Principle (HP) embodies an explanation of the concept of number to imply that it is analytic of the concept of cardinal number - so it is an analytic or conceptual truth, much as a definition would be. | |
| From: report of Crispin Wright (Frege's Concept of Numbers as Objects [1983]) by Richard G. Heck - Cardinality, Counting and Equinumerosity 1 | |
| A reaction: Boolos is quoted as disagreeing. Wright is claiming a fundamental truth. Boolos says something can fix the character of something (as yellow fixes bananas), but that doesn't make it 'fundamental'. I want to defend 'fundamental'. |
| 13893 | It is 1-1 correlation of concepts, and not progression, which distinguishes natural number [Wright,C] |
| Full Idea: What is fundamental to possession of any notion of natural number at all is not the knowledge that the numbers may be arrayed in a progression but the knowledge that they are identified and distinguished by reference to 1-1 correlation among concepts. | |
| From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 3.xv) | |
| A reaction: My question is 'what is the essence of number?', and my inclination to disagree with Wright on this point suggests that the essence of number is indeed caught in the Dedekind-Peano axioms. But what of infinite numbers? |
| 13888 | If numbers are extensions, Frege must first solve the Caesar problem for extensions [Wright,C] |
| Full Idea: Identifying numbers with extensions will not solve the Caesar problem for numbers unless we have already solved the Caesar problem for extensions. | |
| From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 3.xiv) |
| 13869 | Number platonism says that natural number is a sortal concept [Wright,C] |
| Full Idea: Number-theoretic platonism is just the thesis that natural number is a sortal concept. | |
| From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 1.i) | |
| A reaction: See Crispin Wright on sortals to expound this. An odd way to express platonism, but he is presenting the Fregean version of it. |
| 13870 | We can't use empiricism to dismiss numbers, if numbers are our main evidence against empiricism [Wright,C] |
| Full Idea: We may not be able to settle whether some general form of empiricism is correct independently of natural numbers. It might be precisely our grasp of the abstract sortal, natural number, which shows the hypothesis of empiricism to be wrong. | |
| From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 1.i) | |
| A reaction: A nice turning of the tables. In the end only coherence decides these things. You may accept numbers and reject empiricism, and then find you have opened the floodgates for abstracta. Excessive floodgates, or blockages of healthy streams? |
| 13873 | Treating numbers adjectivally is treating them as quantifiers [Wright,C] |
| Full Idea: Treating numbers adjectivally is, in effect, treating the numbers as quantifiers. Frege observes that we can always parse out any apparently adjectival use of a number word in terms of substantival use. | |
| From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 1.iii) | |
| A reaction: The immediate response to this is that any substantival use can equally be expressed adjectivally. If you say 'the number of moons of Jupiter is four', I can reply 'oh, you mean Jupiter has four moons'. |
| 13899 | The Peano Axioms, and infinity of cardinal numbers, are logical consequences of how we explain cardinals [Wright,C] |
| Full Idea: The Peano Axioms are logical consequences of a statement constituting the core of an explanation of the notion of cardinal number. The infinity of cardinal numbers emerges as a consequence of the way cardinal number is explained. | |
| From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 4.xix) | |
| A reaction: This, along with Idea 13896, nicely summarises the neo-logicist project. I tend to favour a strategy which starts from ordering, rather than identities (1-1), but an attraction is that this approach is closer to counting objects in its basics. |
| 13896 | The aim is to follow Frege's strategy to derive the Peano Axioms, but without invoking classes [Wright,C] |
| Full Idea: We shall endeavour to see whether it is possible to follow through the strategy adumbrated in 'Grundlagen' for establishing the Peano Axioms without at any stage invoking classes. | |
| From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 4.xvi) | |
| A reaction: The key idea of neo-logicism. If you can avoid classes entirely, then set theory paradoxes become irrelevant, and classes aren't logic. Philosophers now try to derive the Peano Axioms from all sorts of things. Wright admits infinity is a problem. |
| 7804 | Wright has revived Frege's discredited logicism [Wright,C, by Benardete,JA] |
| Full Idea: Crispin Wright has reactivated Frege's logistic program, which for decades just about everybody assumed was a lost cause. | |
| From: report of Crispin Wright (Frege's Concept of Numbers as Objects [1983]) by José A. Benardete - Logic and Ontology 3 | |
| A reaction: [This opens Bernadete's section called "Back to Strong Logicism?"] |
| 13863 | Logicism seemed to fail by Russell's paradox, Gödel's theorems, and non-logical axioms [Wright,C] |
| Full Idea: Most would cite Russell's paradox, the non-logical character of the axioms which Russell and Whitehead's reconstruction of Frege's enterprise was constrained to employ, and the incompleteness theorems of Gödel, as decisive for logicism's failure. | |
| From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], Intro) |
| 13895 | The standard objections are Russell's Paradox, non-logical axioms, and Gödel's theorems [Wright,C] |
| Full Idea: The general view is that Russell's Paradox put paid to Frege's logicist attempt, and Russell's own attempt is vitiated by the non-logical character of his axioms (esp. Infinity), and by the incompleteness theorems of Gödel. But these are bad reasons. | |
| From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 4.xvi) | |
| A reaction: Wright's work is the famous modern attempt to reestablish logicism, in the face of these objections. |
| 13884 | The idea that 'exist' has multiple senses is not coherent [Wright,C] |
| Full Idea: I have the gravest doubts whether any coherent account could be given of any multiplicity of senses of 'exist'. | |
| From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 2.x) | |
| A reaction: I thoroughly agree with this thought. Do water and wind exist in different senses of 'exist'? |
| 13877 | Singular terms in true sentences must refer to objects; there is no further question about their existence [Wright,C] |
| Full Idea: When a class of terms functions as singular terms, and the sentences are true, then those terms genuinely refer. Being singular terms, their reference is to objects. There is no further question whether they really refer, and there are such objects. | |
| From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 1.iii) | |
| A reaction: This seems to be a key sentence, because this whole view is standardly called 'platonic', but it certainly isn't platonism as we know it, Jim. Ontology has become an entirely linguistic matter, but do we then have 'sakes' and 'whereaboutses'? |
| 15092 | Formerly I said properties are individuated by essential causal powers and causing instantiation [Shoemaker, by Shoemaker] |
| Full Idea: My 1980 paper said properties are individuated by causal features - the contribution they make to the causal powers of things, and also how their instantiation can be caused. Collectively, these causal features are the essence of a property. | |
| From: report of Sydney Shoemaker (Causality and Properties [1980], I) by Sydney Shoemaker - Causal and Metaphysical Necessity | |
| A reaction: The later paper worries about uncertainty over individuation. The view I favour is that 'powers' is a much better term for what is basic, and this allows 'properties' to be the complex notion we use in real life, as innumberable power-combinations. |
| 8543 | Genuine properties are closely related to genuine changes [Shoemaker] |
| Full Idea: Our intuitions as to what are, and what are not, genuine properties are closely related to our intuitions as to what are, and what are not, genuine changes. | |
| From: Sydney Shoemaker (Causality and Properties [1980], §02) | |
| A reaction: A simple but brilliant insight. Somehow we must hack through the plethora of bogus properties and get to the real ones, cutting nature at the joints. Here we have the principle needed for the task. |
| 8551 | Properties must be essentially causal if we can know and speak about them [Shoemaker] |
| Full Idea: Only if some causal theory of properties is true can it be explained how properties are capable of engaging our knowledge, and our language, in the way they do. | |
| From: Sydney Shoemaker (Causality and Properties [1980], §05) | |
| A reaction: Exactly. This also the reason why epiphenomenalism doesn't make sense about consciousness (Idea 7379). The fact that something has causal powers doesn't mean that it just IS a causal power. A bomb isn't an explosion. |
| 8557 | To ascertain genuine properties, examine the object directly [Shoemaker] |
| Full Idea: There is a plausible way of distinguishing genuine and mere-Cambridge properties. To decide whether an emerald is green the thing to do is to examine it, but a mere-Cambridge property is settled by observations at a remote time and place. | |
| From: Sydney Shoemaker (Causality and Properties [1980], §06) | |
| A reaction: Scientific essentialism is beautifully simple! Schoemaker is good at connecting the epistemology to the ontology. If you examined a mirror, you might think it contained reflections. |
| 15761 | We should abandon the idea that properties are the meanings of predicate expressions [Shoemaker] |
| Full Idea: I think we should abandon the idea that properties are the meanings of predicate expressions. | |
| From: Sydney Shoemaker (Causality and Properties [1980], §04) | |
| A reaction: Right. I have Shoemaker on my side, and he is a distinguished and senior member of the philosophical community. I don't just prefer not to use 'predicate' and 'property' indistinguishably - philosophers should really really give it up! |
| 15756 | Some truths are not because of a thing's properties, but because of the properties of related things [Shoemaker] |
| Full Idea: Sometimes a predicate is true of a thing, not because (or only because) of any properties it has, but because something else, perhaps something related to it in certain ways, has certain properties. | |
| From: Sydney Shoemaker (Causality and Properties [1980], §02) | |
| A reaction: I'm on mission to prize predicates and properties apart, and the strategy is to focus on what is true of something, given that this may not ascribe a property to the thing. |
| 15758 | Things have powers in virtue of (which are entailed by) their properties [Shoemaker] |
| Full Idea: There is a distinction between powers, and the properties in virtue of which things have they powers they have (n8: 'in virtue of' means that there is a lawlike truth, which turns out to be the properties entailing the powers). | |
| From: Sydney Shoemaker (Causality and Properties [1980], §03) | |
| A reaction: To me this is an ontology which rests something very clear (a power) on something very indeterminate (a 'property'). |
| 8547 | One power can come from different properties; a thing's powers come from its properties [Shoemaker] |
| Full Idea: It is possible to have the same power (e.g. being poisonous) in virtue of having very different properties. ..So it is in virtue of a thing's properties that the thing has the powers that it has. | |
| From: Sydney Shoemaker (Causality and Properties [1980], §03) | |
| A reaction: This strikes me as an accurate and helpful picture. It means that true properties give rise to powers, and categorial or relational or whimsical properties must have their ontological status judged by that standard. |
| 8549 | Properties are functions producing powers, and powers are functions producing effects [Shoemaker] |
| Full Idea: Powers are functions from circumstances to causal effects, and properties (on which powers depend) can be thought of as functions from sets of properties to sets of powers. Maybe we should call properties 'second-order powers', as they produce powers. | |
| From: Sydney Shoemaker (Causality and Properties [1980], §04) | |
| A reaction: He presents property as both a function, and a component of the function. This is the core picture on which modern scientific essentialism is built. See under Natural Theory|Laws of Nature. |
| 12678 | Shoemaker says all genuine properties are dispositional [Shoemaker, by Ellis] |
| Full Idea: I am against Shoemaker's strong dispositionalism, according to which all genuine properties are dispositional. | |
| From: report of Sydney Shoemaker (Causality and Properties [1980]) by Brian Ellis - The Metaphysics of Scientific Realism 3 | |
| A reaction: This is because Ellis argues that some properties are categorical, and are needed to underly the active dispositional ones. I think I side with Shoemaker, but this needs more thought. |
| 8545 | A causal theory of properties focuses on change, not (say) on abstract properties of numbers [Shoemaker] |
| Full Idea: My account of properties concerns those with respect to which change is possible; it is not intended to apply to such properties of numbers as being even and being prime. | |
| From: Sydney Shoemaker (Causality and Properties [1980], §02) | |
| A reaction: You could argue that while these properties may not cause change, they are abstract powers. Being even allows division by 2, and being prime blocks it. I say patterns are the basis, and dividing groups of physical objects is involved. |
| 15757 | 'Square', 'round' and 'made of copper' show that not all properties are dispositional [Shoemaker] |
| Full Idea: Surely we make a distinction beween dispositional and nondispositional properties, and can mention paradigms of both sorts. ....It seems plain that predicates like 'square', 'round' and 'made of copper' are not dispositional. | |
| From: Sydney Shoemaker (Causality and Properties [1980], §03) | |
| A reaction: It might be possible to account for squareness and roundness in dispositional ways, and it is certainly plausible to say that 'made of copper' is not a property (even when it is a true predicate). |
| 15759 | The identity of a property concerns its causal powers [Shoemaker] |
| Full Idea: What makes a property the property it is, what determines its identity, is its potential for contributing to the causal powers of the things that have it. | |
| From: Sydney Shoemaker (Causality and Properties [1980], §04) | |
| A reaction: Does this mean that the 'potential' to act is the essence of the property, or is a property of the property, or is wholly identical with the property? Or is this just epistemological - whatever individuates the property for observers? |
| 15760 | Properties are clusters of conditional powers [Shoemaker] |
| Full Idea: A thing has a 'conditional power' when it has a power conditionally upon the possession of certain properties. ...We can then express my view by saying that properties are clusters of conditional powers. | |
| From: Sydney Shoemaker (Causality and Properties [1980], §04) | |
| A reaction: His example is a knife-shaped thing, which conditionally cuts wood if it is made of steel. Shoemaker rejected this in 1998. Mumford/Anjum prefer the earlier view. Which is fundamental? Powers are simple and primitive. Properties are complex. |
| 15762 | Could properties change without the powers changing, or powers change without the properties changing? [Shoemaker] |
| Full Idea: Could a thing undergo radical change with respect to its properties without undergoing any change in its causal powers, or undergo radical change in its causal powers without undergoing any change in the properties that underlie these powers? | |
| From: Sydney Shoemaker (Causality and Properties [1980], §05) | |
| A reaction: I don't accept properties underlying powers, but these two questions at least force us to see how closely the two are linked. |
| 8552 | If properties are separated from causal powers, this invites total elimination [Shoemaker] |
| Full Idea: The disassociation of property identity from causal potentiality is an invitation to eliminate reference to properties from our explanatory hypotheses altogether. | |
| From: Sydney Shoemaker (Causality and Properties [1980], §05) | |
| A reaction: Just as epiphenomenalism about consciousness is a step towards eliminativism. This seems to describe Quine's reaction to Goodman, in moving from predicate nominalism to elimination of properties. I agree with Shoemaker. |
| 4040 | The notions of property and of causal power are parts of a single system of related concepts [Shoemaker] |
| Full Idea: The notion of a property and the notion of a causal power belong to a system of internally related concepts, no one of which can be explicated without the use of the other. | |
| From: Sydney Shoemaker (Causality and Properties [1980], §07) | |
| A reaction: Sounds good. It is hard to conceive of a property which has no causal powers, or a causal power that doesn't arise from a property. |
| 15765 | Actually, properties are individuated by causes as well as effects [Shoemaker] |
| Full Idea: I should probably modify my view, and say that properties are individuated by their possible causes as well as by their possible effects. | |
| From: Sydney Shoemaker (Causality and Properties [1980], §11) | |
| A reaction: (This is in an afterword responding to criticism by Richard Boyd) He doesn't use the word 'individuate' in the essay. That term always strikes me as smacking too much of epistemology, and not enough of ontology. Who cares how you individuate something? |
| 8548 | Dispositional predicates ascribe powers, and the rest ascribe properties [Shoemaker] |
| Full Idea: By and large, dispositional predicates ascribe powers while nondispositional monadic predicates ascribe properties that are not powers in the same sense. | |
| From: Sydney Shoemaker (Causality and Properties [1980], §03) | |
| A reaction: The powers are where the properties come into contact with the rest of the world, so you would expect dispositions to be found at that level, rather than at the deeper level of properties. Sounds good to me. |
| 9485 | Universals concern how things are, and how they could be [Shoemaker, by Bird] |
| Full Idea: Shoemaker contends that universals concern the way things could be, not merely the way any things actually are. | |
| From: report of Sydney Shoemaker (Causality and Properties [1980]) by Alexander Bird - Nature's Metaphysics 3.2.2 | |
| A reaction: If you want to retain universals within a scientific essentialist view (and I would rather not), then this seems like the only way to go. |
| 8550 | Triangular and trilateral are coextensive, but different concepts; but powers and properties are the same [Shoemaker] |
| Full Idea: It is natural to say that 'being triangular' and 'being trilateral', though necessarily coextensive, are different properties. But what are distinct are the concepts and meanings. If properties are not meanings of predicates, these are identical. | |
| From: Sydney Shoemaker (Causality and Properties [1980], §04) | |
| A reaction: A good test example. Being renate (kidney) and being cordate (heart) are different, because being cordate produces a thumping noise. Shoemaker's example is pretty much Phosphorus/Hesperus. |
| 9878 | Contextually defined abstract terms genuinely refer to objects [Wright,C, by Dummett] |
| Full Idea: Wright says we should accord to contextually defined abstract terms a genuine full-blown reference to objects. | |
| From: report of Crispin Wright (Frege's Concept of Numbers as Objects [1983]) by Michael Dummett - Frege philosophy of mathematics Ch.18 | |
| A reaction: This is the punch line of Wright's neo-logicist programme. See Idea 9868 for his view of reference. Dummett regards this strong view of contextual definition as 'exorbitant'. Wright's view strikes me as blatantly false. |
| 13868 | Sortal concepts cannot require that things don't survive their loss, because of phase sortals [Wright,C] |
| Full Idea: The claim that no concept counts as sortal if an instance of it can survive its loss, runs foul of so-called phase sortals like 'embryo' and 'chrysalis'. | |
| From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 1.i) | |
| A reaction: The point being that those items only fall under that sortal for one phase of their career, and of their identity. I've always thought such claims absurd, and this gives a good reason for my view. |
| 8555 | There is no subset of properties which guarantee a thing's identity [Shoemaker] |
| Full Idea: There is, putting aside historical properties and 'identity properties', no subset of the properties of a thing which constitutes an individual essence, so that having those properties is necessary and sufficient for being that particular thing. | |
| From: Sydney Shoemaker (Causality and Properties [1980], §05) | |
| A reaction: He asserts this rather dogmatically. If he says a thing can lose its essence, I agree, but it seems to me that there must be a group of features which will guarantee that (if they are present) it has that identity. |
| 8554 | Possible difference across worlds depends on difference across time in the actual world [Shoemaker] |
| Full Idea: The ways in which a given thing can be different in different possible worlds depend on the ways in which such a thing can be different at different times in the actual world. | |
| From: Sydney Shoemaker (Causality and Properties [1980], §05) | |
| A reaction: Where change in a thing is possible across time in the actual world seems to require a combination of experiment and imagination. Unimaginability does not entail necessity, but it may be the best guide we have got. |
| 15764 | 'Conceivable' is either not-provably-false, or compatible with what we know? [Shoemaker] |
| Full Idea: We could use 'conceivable' to say it is not provable that it is not the case, or we could use it to say that it is compatible with what we know. | |
| From: Sydney Shoemaker (Causality and Properties [1980], §10) | |
| A reaction: Rather significant, since the first one would seem to allow in a great deal that the second one would rule out. Any disproof of some natural possibility founders on the remark that 'you never know'. |
| 8562 | It is possible to conceive what is not possible [Shoemaker] |
| Full Idea: It is possible to conceive what is not possible. | |
| From: Sydney Shoemaker (Causality and Properties [1980], §10) | |
| A reaction: The point here is that, while we cannot clearly conceive the impossible in a world like mathematics, we can conceive of impossible perceptions in the physical world, such as a bonfire burning under water. |
| 8556 | Grueness is not, unlike green and blue, associated with causal potential [Shoemaker] |
| Full Idea: Grueness, as defined by Goodman, is not associated in the way greenness and blueness are with causal potentialities. | |
| From: Sydney Shoemaker (Causality and Properties [1980], §06) | |
| A reaction: Expressed rather more simply in Idea 7296. 'Grue' is a characteristic production of a predicate nominalist (i.e. Goodman), and that theory is just wrong. The account of properties must mesh with the account of induction. |
| 13866 | A concept is only a sortal if it gives genuine identity [Wright,C] |
| Full Idea: Before we can conclude that φ expresses a sortal concept, we need to ensure that 'is the same φ as' generates statements of genuine identity rather than of some other equivalence relation. | |
| From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 1.i) |
| 13865 | 'Sortal' concepts show kinds, use indefinite articles, and require grasping identities [Wright,C] |
| Full Idea: A concept is 'sortal' if it exemplifies a kind of object. ..In English predication of a sortal concept needs an indefinite article ('an' elm). ..What really constitutes the distinction is that it involves grasping identity for things which fall under it. | |
| From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 1.i) | |
| A reaction: This is a key notion, which underlies the claims of 'sortal essentialism' (see David Wiggins). |
| 13890 | Entities fall under a sortal concept if they can be used to explain identity statements concerning them [Wright,C] |
| Full Idea: 'Tree' is not a sortal concept under which directions fall since we cannot adequately explain the truth-conditions of any identity statement involving a pair of tree-denoting singular terms by appealing to facts to do with parallelism between lines. | |
| From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 3.xiv) | |
| A reaction: The idea seems to be that these two fall under 'hedgehog', because that is a respect in which they are identical. I like to notion of explanation as a part of this. |
| 13898 | If we can establish directions from lines and parallelism, we were already committed to directions [Wright,C] |
| Full Idea: The fact that it seems possible to establish a sortal notion of direction by reference to lines and parallelism, discloses tacit commitments to directions in statements about parallelism...There is incoherence in the idea that a line might lack direction. | |
| From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 4.xviii) | |
| A reaction: This seems like a slippery slope into a very extravagant platonism about concepts. Are concepts like direction as much a part of the natural world as rivers are? What other undiscovered concepts await us? |
| 13882 | A milder claim is that understanding requires some evidence of that understanding [Wright,C] |
| Full Idea: A mild version of the verification principle would say that it makes sense to think of someone as understanding an expression only if he is able, by his use of the expression, to give the best possible evidence that he understands it. | |
| From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 1.vii) | |
| A reaction: That doesn't seem to tell us what understanding actually consists of, and may just be the truism that to demonstrate anything whatsoever will necessarily involve some evidence. |
| 13885 | If apparent reference can mislead, then so can apparent lack of reference [Wright,C] |
| Full Idea: If the appearance of reference can be misleading, why cannot an apparent lack of reference be misleading? | |
| From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 2.xi) | |
| A reaction: A nice simple thought. Analytic philosophy has concerned itself a lot with sentences that seem to refer, but the reference can be analysed away. For me, this takes the question of reference out of the linguistic sphere, which wasn't Wright's plan. |
| 17857 | We can accept Frege's idea of object without assuming that predicates have a reference [Wright,C] |
| Full Idea: The heart of the problem is Frege's assumption that predicates have Bedeutungen at all; and no reason is at present evident why someone who espouses Frege's notion of object is contrained to make that assumption. | |
| From: Crispin Wright (Frege's Concept of Numbers as Objects [1983], 1.iv) | |
| A reaction: This seems like a penetrating objection to Frege's view of reference, and presumably supports the Kripke approach. |
| 8542 | If causality is between events, there must be reference to the properties involved [Shoemaker] |
| Full Idea: Any account of causality as a relation between events should involve, in a central way, reference to the properties of the constituent objects of the events. | |
| From: Sydney Shoemaker (Causality and Properties [1980], §01) | |
| A reaction: This remark, with which I wholeheartedly agree, is aimed at Davidson, who seems to think you need know no more about an event than the way in which someone chooses to describe it. Metaphysics must dig deeper, even if science can't. |
| 8560 | If causal laws describe causal potentialities, the same laws govern properties in all possible worlds [Shoemaker] |
| Full Idea: To the extent that causal laws can be viewed as propositions describing the causal potentialities of properties, it is impossible that the same properties should be governed by different causal laws in different possible worlds. | |
| From: Sydney Shoemaker (Causality and Properties [1980], §08) | |
| A reaction: [He has just asserted that causal potentialities are essential to properties] This is the dramatic basic claim of scientific essentialism, which grows out of Shoemaker's causal account of properties. Note that the laws are just descriptions. |
| 15763 | If properties are causal, then causal necessity is a species of logical necessity [Shoemaker] |
| Full Idea: My theory of properties as causal appears to have the consequence that causal laws are logically necessary, and that causal necessity is just a species of logical necessity. | |
| From: Sydney Shoemaker (Causality and Properties [1980], §09) | |
| A reaction: Where he writes 'logical' necessity I would claim that he really means 'metaphysical' necessity. The point, I take it, is that given the existence of those properties, certain causal efforts must always follow from them. I agree. |
| 8561 | If a world has different causal laws, it must have different properties [Shoemaker] |
| Full Idea: If there are worlds in which the causal laws are different from those that prevail in this world, ..then the properties will have to be different as well. | |
| From: Sydney Shoemaker (Causality and Properties [1980], §09) | |
| A reaction: The next question is whether the same stuff (e.g. gold or water) could have different properties, and I take the the scientific essentialism answer to be 'no'. So the actual stuff (substances?) would have to be different. |
| 8553 | It looks as if the immutability of the powers of a property imply essentiality [Shoemaker] |
| Full Idea: There is a prima facie case for saying that the immutability of the causal potentialities of a property implies their essentiality. ...If they cannot vary across time, they also cannot vary across possible worlds. | |
| From: Sydney Shoemaker (Causality and Properties [1980], §05) | |
| A reaction: This is only the beginning of scientific essentialism, but one of the targets is to save the phenomena. It is also involves unimaginability (of different powers from a given property) implying necessity. |