Combining Texts

All the ideas for 'Barcan Formulae', 'Dialektik' and 'Precis of 'Limits of Abstraction''

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6 ideas

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

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

4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula

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Barcan:nothing comes into existence; Converse:nothing goes out; Both:domain is unchanging [Vervloesem]

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

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

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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

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

19. Language / E. Analyticity / 4. Analytic/Synthetic Critique

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Concepts are only analytic once the predicate is absorbed into the subject [Schleiermacher]