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Ideas for 'fragments/reports', 'Difficulties of Transfinite Numbers and Types' and 'Precis of 'Limits of Abstraction''

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4 ideas

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle
If Hume's Principle can define numbers, we needn't worry about its truth [Fine,K]
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
We need rules for deciding which norms are predicative (unless none of them are) [Russell]
'Predicative' norms are those which define a class [Russell]