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All the ideas for 'Abstract Objects: a Case Study', 'Intro to 'Modality and Tense'' and 'Words without Objects'

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23 ideas

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.
5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic
If plural variables have 'some values', then non-count variables have 'some value' [Laycock]
     Full Idea: If a plural variable is said to have not a single value but some values (some clothes), then a non-count variable may have, more quirkier still, some value (some clothing, for instance) in ranging arbitrarily over the scattered stuff.
     From: Henry Laycock (Words without Objects [2006], 4.4)
     A reaction: We seem to need the notion of a sample, or an archetype, to fit the bill. I hereby name them 'sample variables'. Damn - Laycock got there first, on p.137.
5. Theory of Logic / G. Quantification / 6. Plural Quantification
Plurals are semantical but not ontological [Laycock]
     Full Idea: Plurality is a semantical but not also an ontological construction.
     From: Henry Laycock (Words without Objects [2006], Intro 4)
     A reaction: I love it when philososphers make simple and illuminating remarks like this. You could read 500 pages of technical verbiage about plural reference without grasping that this is the underlying issue. Sounds right to me.
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Some non-count nouns can be used for counting, as in 'several wines' or 'fewer cheeses' [Laycock]
     Full Idea: The very words we class as non-count nouns may themselves be used for counting, of kinds or types, and phrases like 'several wines' are perfectly in order. ...Not only do we have 'less cheese', but we also have the non-generic 'fewer cheeses'.
     From: Henry Laycock (Words without Objects [2006], Intro 4 n23)
     A reaction: [compressed] Laycock generally endorses the thought that what can be counted is not simply distinguished by a precise class of applied vocabulary. He offers lots of borderline or ambiguous cases in his footnotes.
Some apparent non-count words can take plural forms, such as 'snows' or 'waters' [Laycock]
     Full Idea: Some words that seem to be semantically non-count can take syntactically plural forms: 'snows', 'sands', 'waters' and the like.
     From: Henry Laycock (Words without Objects [2006], Intro 4 n24)
     A reaction: This seems to involve parcels of the stuff. The 'snows of yesteryear' occur at different times. 'Taking the waters' probably involves occasions. The 'Arabian sands' presumably occur in different areas. Semantics won't fix what is countable.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
Mathematics is both necessary and a priori because it really consists of logical truths [Yablo]
     Full Idea: Mathematics seems necessary because the real contents of mathematical statements are logical truths, which are necessary, and it seems a priori because logical truths really are a priori.
     From: Stephen Yablo (Abstract Objects: a Case Study [2002], 10)
     A reaction: Yablo says his logicism has a Kantian strain, because numbers and sets 'inscribed on our spectacles', but he takes a different view (in the present Idea) from Kant about where the necessity resides. Personally I am tempted by an a posteriori necessity.
6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics
Putting numbers in quantifiable position (rather than many quantifiers) makes expression easier [Yablo]
     Full Idea: Saying 'the number of Fs is 5', instead of using five quantifiers, puts the numeral in quantifiable position, which brings expressive advantages. 'There are more sheep in the field than cows' is an infinite disjunction, expressible in finite compass.
     From: Stephen Yablo (Abstract Objects: a Case Study [2002], 08)
     A reaction: See Hofweber with similar thoughts. This idea I take to be a key one in explaining many metaphysical confusions. The human mind just has a strong tendency to objectify properties, relations, qualities, categories etc. - for expression and for reasoning.
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
Concrete objects have few essential properties, but properties of abstractions are mostly essential [Yablo]
     Full Idea: Objects like me have a few essential properties, and numerous accidental ones. Abstract objects are a different story. The intrinsic properties of the empty set are mostly essential. The relations of numbers are also mostly essential.
     From: Stephen Yablo (Abstract Objects: a Case Study [2002], 01)
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?
We are thought to know concreta a posteriori, and many abstracta a priori [Yablo]
     Full Idea: Our knowledge of concreta is a posteriori, but our knowledge of numbers, at least, has often been considered a priori.
     From: Stephen Yablo (Abstract Objects: a Case Study [2002], 02)
7. Existence / C. Structure of Existence / 8. Stuff / a. Pure stuff
The category of stuff does not suit reference [Laycock]
     Full Idea: The central fact about the category of stuff or matter is that it is profoundly antithetical to reference.
     From: Henry Laycock (Words without Objects [2006], Pref)
     A reaction: This is taking 'reference' in the strictly singular classical sense, but clearly we refer to water in various ways. Laycock's challenge is very helpful. We have been in the grips of a terrible orthodoxy.
Descriptions of stuff are neither singular aggregates nor plural collections [Laycock]
     Full Idea: The definite descriptions of stuff like water are neither singular descriptions denoting individual mereological aggregates, nor plural descriptions denoting multitudes of discrete units or semantically determined atoms.
     From: Henry Laycock (Words without Objects [2006], 5.3)
     A reaction: Laycock makes an excellent case for this claim, and seems to invite a considerable rethink of our basic ontology to match it, one which he ultimately hints at calling 'romantic'. Nice. Conservatives try to force stuff into classical moulds.
7. Existence / C. Structure of Existence / 8. Stuff / b. Mixtures
We shouldn't think some water retains its identity when it is mixed with air [Laycock]
     Full Idea: Suppose that water, qua vapour, mixes with the atmosphere. Is there any abstract metaphysical principle, other than that of atomism, which implies that water must, in any such process, retain its identity? That claim seems indefensible.
     From: Henry Laycock (Words without Objects [2006], 1.2 n22)
     A reaction: It can't be right that some stuff always loses its identity in a mixture, if the mixture was in a closed vessel, and then separated again. Dispersion is what destroys the identity, not mixing.
7. Existence / D. Theories of Reality / 3. Reality
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.
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 / C. Structure of Objects / 8. Parts of Objects / a. Parts of objects
Parts must be of the same very general type as the wholes [Laycock]
     Full Idea: The notion of a part is such that parts must be of the same very general type - concrete, material or physical, for instance - as the wholes of which they are (said to be) parts.
     From: Henry Laycock (Words without Objects [2006], 2.9)
     A reaction: The phrase 'same very general type' cries out for investigation. Can an army contain someone who isn't much of a soldier? Can the Treasury contain a fear of inflation?
9. Objects / D. Essence of Objects / 7. Essence and Necessity / b. Essence not necessities
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.
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 / 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 / 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.
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
'Humility is a virtue' has an abstract noun, but 'water is a liquid' has a generic concrete noun [Laycock]
     Full Idea: Work is needed to distinguish abstract nouns ...from the generic uses of what are otherwise concrete nouns. The contrast is that of 'humility is a virtue' and 'water is a liquid'.
     From: Henry Laycock (Words without Objects [2006], Intro 4 n25)
     A reaction: 'Work is needed' implies 'let me through, I'm an analytic philosopher', but I don't think they will separate very easily. What does 'watery' mean? Does water have concrete virtues?
19. Language / B. Reference / 1. Reference theories
It is said that proper reference is our intellectual link with the world [Laycock]
     Full Idea: Some people hold that it is reference, in some more or less full-blooded sense, which constitutes our basic intellectual or psychological connection with the world.
     From: Henry Laycock (Words without Objects [2006], Pref)
     A reaction: This is the view which Laycock sets out to challenge, by showing that we talk about stuff like water without any singular reference occurring at all. I think he is probably right.
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.