20 ideas
9254 | In philosophy the truth can only be reached via the ruins of the false [Prichard] |
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] |
7566 | The Identity of Indiscernibles is really the same as the verification principle [Jolley] |
9261 | The 'Ethics' is disappointing, because it fails to try to justify our duties [Prichard] |
9262 | The mistake is to think we can prove what can only be seen directly in moral thinking [Prichard] |
9256 | I see the need to pay a debt in a particular instance, and any instance will do [Prichard] |
9257 | The complexities of life make it almost impossible to assess morality from a universal viewpoint [Prichard] |
9260 | Virtues won't generate an obligation, so it isn't a basis for morality [Prichard] |
9259 | We feel obligations to overcome our own failings, and these are not relations to other people [Prichard] |
9255 | Seeing the goodness of an effect creates the duty to produce it, not the desire [Prichard] |
9258 | If pain were instrinsically wrong, it would be immoral to inflict it on ourselves [Prichard] |