18 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] |
16066 | Additional or removal of any part changes a thing, so people are never the same person [Epicharmus] |
6456 | Sense-data are neutral uninterpreted experiences, separated from objects and judgements [Angeles] |
436 | A dog seems handsome to another a dog, and even a pig to another pig [Epicharmus] |
442 | Pleasures are like pirates - if you are caught they drown you in a sea of pleasures [Epicharmus] |
440 | Hands wash hands; give that you may get [Epicharmus] |
441 | Against a villain, villainy is not a useless weapon [Epicharmus] |
439 | God knows everything, and nothing is impossible for him [Epicharmus] |
443 | Human logos is an aspect of divine logos, and is sufficient for successful living [Epicharmus] |