16 ideas
3340 | Von Neumann defines each number as the set of all smaller numbers [Neumann, by Blackburn] |
15943 | Limitation of Size is not self-evident, and seems too strong [Lavine on Neumann] |
3355 | Von Neumann wanted mathematical functions to replace sets [Neumann, by Benardete,JA] |
13489 | Von Neumann treated cardinals as a special sort of ordinal [Neumann, by Hart,WD] |
22716 | Von Neumann defined ordinals as the set of all smaller ordinals [Neumann, by Poundstone] |
12336 | A von Neumann ordinal is a transitive set with transitive elements [Neumann, by Badiou] |
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] |
13672 | All the axioms for mathematics presuppose set theory [Neumann] |
468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
21733 | The right-wing conception of freedom is based on the idea of self-ownership [Cohen,GA] |
21739 | Plenty of people have self-ownership, but still lack autonomy [Cohen,GA] |
21736 | It is doubtful whether any private property was originally acquired legitimately [Cohen,GA] |
21734 | It is plausible that no one has an initial right to own land and natural resources [Cohen,GA] |
21735 | Every thing which is now private started out as unowned [Cohen,GA] |