Combining Texts

All the ideas for 'Subjectivist's Guide to Objective Chance', 'On the Introduction of Transfinite Numbers' and 'The Evolution of Co-Operation'

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8 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
13489 Von Neumann treated cardinals as a special sort of ordinal [Neumann, by Hart,WD]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
12336 A von Neumann ordinal is a transitive set with transitive elements [Neumann, by Badiou]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / g. Von Neumann numbers
18180 Von Neumann numbers are preferred, because they continue into the transfinite [Maddy on Neumann]
18179 For Von Neumann the successor of n is n U {n} (rather than {n}) [Neumann, by Maddy]
15925 Each Von Neumann ordinal number is the set of its predecessors [Neumann, by Lavine]
23. Ethics / B. Contract Ethics / 8. Contract Strategies
22724 Good strategies avoid conflict, respond to hostility, forgive, and are clear [Axelrod]
22725 When players don't meet again, defection is the best strategy [Axelrod]
26. Natural Theory / D. Laws of Nature / 4. Regularities / b. Best system theory
9425 Lewis later proposed the axioms at the intersection of the best theories (which may be few) [Mumford on Lewis]