Combining Philosophers

Ideas for Panaetius, Iamblichus and John von Neumann

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4 ideas

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / g. Von Neumann numbers

18179

For Von Neumann the successor of n is n U {n} (rather than {n}) [Neumann, by Maddy]

18180

Von Neumann numbers are preferred, because they continue into the transfinite [Maddy on Neumann]

15925

Each Von Neumann ordinal number is the set of its predecessors [Neumann, by Lavine]

6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory

13672

All the axioms for mathematics presuppose set theory [Neumann]