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Ideas for 'The Evolution of Logic', 'Mathematics without Foundations' and 'Either/Or: a fragment of life'

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3 ideas

6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics

9937	I do not believe mathematics either has or needs 'foundations' [Putnam]

6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry

13474

Euclid has a unique parallel, spherical geometry has none, and saddle geometry has several [Hart,WD]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers

9939	It is conceivable that the axioms of arithmetic or propositional logic might be changed [Putnam]