17 ideas
| 20728 | Metaphysics is hopeless with its present epistemology; common-sense realism is needed [Colvin] |
| 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] |
| 20726 | We can only distinguish self from non-self if there is an inflexible external reality [Colvin] |
| 20727 | Common-sense realism rests on our interests and practical life [Colvin] |
| 20729 | Arguments that objects are unknowable or non-existent assume the knower's existence [Colvin] |
| 20730 | If objects are doubted because their appearances change, that presupposes one object [Colvin] |
| 20731 | The idea that everything is relations is contradictory; relations are part of the concept of things [Colvin] |
| 1513 | The Egyptians were the first to say the soul is immortal and reincarnated [Herodotus] |