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Ideas for 'Intermediate Logic', 'The Protestant Ethic and the Spirit of Capitalism' and 'On the Nature of Mathematical Reasoning'

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3 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite

15923

Poincaré rejected the actual infinite, claiming definitions gave apparent infinity to finite objects [Poincaré, by Lavine]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / f. Mathematical induction

13358

Ordinary or mathematical induction assumes for the first, then always for the next, and hence for all [Bostock]

13359

Complete induction assumes for all numbers less than n, then also for n, and hence for all numbers [Bostock]