Combining Texts

All the ideas for 'Introduction to Russell's Theory of Types', 'Words without Objects' and 'Ontological Relativity'

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18 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
The Axiom of Reducibility is self-effacing: if true, it isn't needed [Quine]
     Full Idea: The Axiom of Reducibility is self-effacing: if it is true, the ramification it is meant to cope with was pointless to begin with.
     From: Willard Quine (Introduction to Russell's Theory of Types [1967], p.152), quoted by Penelope Maddy - Naturalism in Mathematics I.1
     A reaction: Maddy says the rejection of Reducibility collapsed the ramified theory of types into the simple theory.
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 / 4. Substitutional Quantification
If quantification is all substitutional, there is no ontology [Quine]
     Full Idea: Ontology is meaningless for a theory whose only quantification is substitutionally construed.
     From: Willard Quine (Ontological Relativity [1968], p.64), quoted by Thomas Hofweber - Ontology and the Ambitions of Metaphysics 03.5.1 n18
     A reaction: Hofweber views it as none the worse for that, since clearly lots of quantification has no ontological commitment at all. But he says it is rightly called 'a nominalists attempt at a free lunch'.
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.
7. Existence / A. Nature of Existence / 6. Criterion for Existence
Absolute ontological questions are meaningless, because the answers are circular definitions [Quine]
     Full Idea: What makes ontological questions meaningless when taken absolutely is not universality but circularity. A question of the form "What is an F?" can only be answered with "An F is a G", which makes sense relative to the uncritical acceptance of G.
     From: Willard Quine (Ontological Relativity [1968], p.53)
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 / 11. Ontological Commitment / d. Commitment of theories
Ontology is relative to both a background theory and a translation manual [Quine]
     Full Idea: Ontology is doubly relative. Specifying the universe of a theory makes sense only relative to some background theory, and only relative to some choice of a manual of translation of one theory into another.
     From: Willard Quine (Ontological Relativity [1968], p.54)
     A reaction: People tend to forget about the double nature of Quine's notion of ontological commitment, and usually only talk about the commitment of the theory being employed. Why is the philosophical community not devoting itself to the study of tranlation manuals?
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 / F. Identity among Objects / 1. Concept of Identity
We know what things are by distinguishing them, so identity is part of ontology [Quine]
     Full Idea: We cannot know what something is without knowing how it is marked off from other things. Identity is thus of a piece with ontology.
     From: Willard Quine (Ontological Relativity [1968], p.55)
     A reaction: Actually it is failure of identity which seems to raise questions of individuation. If I say 'this apple is [pause] identical to this apple', I don't see how that helps me to individuate apples.
13. Knowledge Criteria / E. Relativism / 5. Language Relativism
Two things are relative - the background theory, and translating the object theory into the background theory [Quine]
     Full Idea: Relativity has two components: to the choice of a background theory, and to the choice of how to translate the object theory into the background theory.
     From: Willard Quine (Ontological Relativity [1968], p.67)
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
Reference is inscrutable, because we cannot choose between theories of numbers [Quine, by Orenstein]
     Full Idea: For Quine, we cannot sensibly ask which is the real number five, the Frege-Russell set or the Von Neumann one. There is no arithmetical or empirical way of deciding between the two. Reference is inscrutable.
     From: report of Willard Quine (Ontological Relativity [1968]) by Alex Orenstein - W.V. Quine Ch.3
     A reaction: To generalise from a problem of reference in the highly abstract world of arithmetic, and say that all reference is inscrutable, strikes me as implausible.
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 / F. Communication / 6. Interpreting Language / b. Indeterminate translation
Indeterminacy translating 'rabbit' depends on translating individuation terms [Quine]
     Full Idea: The indeterminacy between 'rabbit', 'rabbit stage' and the rest depended only on a correlative indeterminacy of translation of the English apparatus of individuation - pronouns, plurals, identity, numerals and so on.
     From: Willard Quine (Ontological Relativity [1968], p.35)
     A reaction: This spells out the problem a little better than in 'Word and Object'. I just don't believe these problems are intractable. Quine is like a child endlessly asking 'why?'.