18 ideas
19695 | The devil was wise as an angel, and lost no knowledge when he rebelled [Whitcomb] |
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] |
13437 | A CAR and its major PART can become identical, yet seem to have different properties [Gallois] |
16233 | Gallois hoped to clarify identity through time, but seems to make talk of it impossible [Hawley on Gallois] |
16025 | If things change they become different - but then no one thing undergoes the change! [Gallois] |
16026 | 4D: time is space-like; a thing is its history; past and future are real; or things extend in time [Gallois] |
14755 | Gallois is committed to identity with respect to times, and denial of simple identity [Gallois, by Sider] |
16231 | Occasional Identity: two objects can be identical at one time, and different at others [Gallois, by Hawley] |
16027 | If two things are equal, each side involves a necessity, so the equality is necessary [Gallois] |