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All the ideas for 'Precis of 'Limits of Abstraction'', 'The Logic of Infinity' and 'Philosophical Remarks'

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8 ideas

2. Reason / D. Definition / 2. Aims of Definition
10528 Definitions concern how we should speak, not how things are [Fine,K]
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]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
18203 Avoid non-predicative classifications and definitions [Poincaré]
9. Objects / A. Existence of Objects / 3. Objects in Thought
22320 An 'object' is just what can be referred to without possible non-existence [Wittgenstein]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
10527 An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K]
19. Language / A. Nature of Meaning / 2. Meaning as Mental
18283 Language pictures the essence of the world [Wittgenstein]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
18282 You can't believe it if you can't imagine a verification for it [Wittgenstein]