Combining Philosophers

Ideas for H.Putnam/P.Oppenheim, Brian Ellis and Gerhard Gentzen

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2 ideas

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

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Mathematics is the formal study of the categorical dimensions of things [Ellis]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic

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Gentzen proved the consistency of arithmetic from assumptions beyond arithmetic [Gentzen, by Musgrave]