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Ideas for 'works', 'The Philosophy of Mathematics' and 'Intermediate Logic'

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4 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers

9191	Ordinals seem more basic than cardinals, since we count objects in sequence [Dummett]

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]

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique

9192	The number 4 has different positions in the naturals and the wholes, with the same structure [Dummett]