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Ideas for 'Precis of 'Limits of Abstraction'', 'works' and 'Russell's Mathematical Logic'

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3 ideas

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic

10039

Some arithmetical problems require assumptions which transcend arithmetic [Gödel]

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]