32 ideas
| 12463 | Unlike correspondence, truthmaking can be one truth to many truthmakers, or vice versa [Jacobs] |
| 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] |
| 14375 | If structures result from intrinsic natures of properties, the 'relations' between them can drop out [Jacobs] |
| 14378 | Science aims at identifying the structure and nature of the powers that exist [Jacobs] |
| 12467 | Powers come from concrete particulars, not from the laws of nature [Jacobs] |
| 14377 | Possibilities are manifestations of some power, and impossibilies rest on no powers [Jacobs] |
| 14376 | States of affairs are only possible if some substance could initiate a causal chain to get there [Jacobs] |
| 14379 | Counterfactuals invite us to consider the powers picked out by the antecedent [Jacobs] |
| 14372 | Possible worlds are just not suitable truthmakers for modality [Jacobs] |
| 12466 | All modality is in the properties and relations of the actual world [Jacobs] |
| 14371 | We can base counterfactuals on powers, not possible worlds, and hence define necessity [Jacobs] |
| 12465 | Concrete worlds, unlike fictions, at least offer evidence of how the actual world could be [Jacobs] |
| 12464 | If some book described a possibe life for you, that isn't what makes such a life possible [Jacobs] |
| 12469 | Possible worlds semantics gives little insight into modality [Jacobs] |
| 7647 | The imagination alone perceives all objects; it is the soul, playing all its roles [La Mettrie] |
| 7645 | When falling asleep, the soul becomes paralysed and weak, just like the body [La Mettrie] |
| 23225 | The soul's faculties depend on the brain, and are simply the brain's organisation [La Mettrie] |
| 7652 | Man is a machine, and there exists only one substance, diversely modified [La Mettrie] |
| 7650 | All thought is feeling, and rationality is the sensitive soul contemplating reasoning [La Mettrie] |
| 7651 | With wonderful new machines being made, a speaking machine no longer seems impossible [La Mettrie] |
| 7648 | The sun and rain weren't made for us; they sometimes burn us, or spoil our seeds [La Mettrie] |
| 7646 | There is no abrupt transition from man to animal; only language has opened a gap [La Mettrie] |
| 7649 | There is no clear idea of the soul, which should only refer to our thinking part [La Mettrie] |