17 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] |
| 6375 | The taste of chocolate is a 'finer-grained' sensation than the taste of sweetness [Polger] |
| 6381 | The mind and the self are one, and the mind-self is a biological phenomenon [Polger] |
| 6378 | Teleological functions explain why a trait exists; causal-role functions say what it does [Polger] |
| 6380 | Identity theory says consciousness is an abstraction: a state, event, process or property [Polger] |
| 6379 | A mummified heart has the teleological function of circulating blood [Polger] |
| 6377 | Teleological notions of function say what a thing is supposed to do [Polger] |
| 1513 | The Egyptians were the first to say the soul is immortal and reincarnated [Herodotus] |