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Ideas for 'On What Grounds What', '18: Book of Job' and 'Set Theory and Its Philosophy'

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3 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure

10712

If set theory didn't found mathematics, it is still needed to count infinite sets [Potter]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic

17882

It is remarkable that all natural number arithmetic derives from just the Peano Axioms [Potter]

6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism

13741

If 'there are red roses' implies 'there are roses', then 'there are prime numbers' implies 'there are numbers' [Schaffer,J]