15 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] |
12336 | A von Neumann ordinal is a transitive set with transitive elements [Neumann, by Badiou] |
22716 | Von Neumann defined ordinals as the set of all smaller ordinals [Neumann, by Poundstone] |
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] |
4741 | A very powerful computer might have its operations restricted by the addition of consciousness [Clark,T] |
20575 | Socialist economics needs a very strong central power, virtually leading to slavery [Hayek, by Oksala] |
22599 | Hayek was a liberal, but mainly concerned with market freedom [Hayek, by Dunt] |
22600 | Impeding the market is likely to lead to extensive state control [Hayek] |
20543 | 'Social justice' is a confused idea, and inequalities need no justification [Hayek, by Swift] |