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Ideas for 'Precis of 'Limits of Abstraction'', 'Ordinary Objects' and 'Set Theory and the Continuum Hypothesis'

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3 ideas

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 / a. Constructivism

14248

We could accept the integers as primitive, then use sets to construct the rest [Cohen]