Combining Texts

All the ideas for 'Precis of 'Limits of Abstraction'', 'Existence,Ontological Commitment and Fictions' and 'A Problem about Substitutional Quantification?'

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6 ideas

2. Reason / D. Definition / 2. Aims of Definition

10528

Definitions concern how we should speak, not how things are [Fine,K]

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory

8972	What in the real world could ground the distinction between the sets {A,{A,B}} and {B,{A,B}}? [Inwagen]

5. Theory of Logic / G. Quantification / 4. Substitutional Quantification

10792

The substitutional quantifier is not in competition with the standard interpretation [Kripke, by Marcus (Barcan)]

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle

10529

If Hume's Principle can define numbers, we needn't worry about its truth [Fine,K]

10530

Hume's Principle is either adequate for number but fails to define properly, or vice versa [Fine,K]

18. Thought / E. Abstraction / 7. Abstracta by Equivalence

10527

An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K]