Combining Philosophers
Ideas for Archimedes, Hilary Putnam and Chistoph Scheibler
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3 ideas
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
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I do not believe mathematics either has or needs 'foundations' [Putnam]
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6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
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Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
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6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
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It is conceivable that the axioms of arithmetic or propositional logic might be changed [Putnam]
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