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Ideas for 'God and Human Attributes', 'The Evolution of Logic' and 'On the Introduction of Transfinite Numbers'

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4 ideas

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 / 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]