15 ideas
| 9456 | Modal logic is multiple systems, shown in the variety of accessibility relations between worlds [Jacquette] |
| 17833 | The first-order ZF axiomatisation is highly non-categorical [Hallett,M] |
| 17834 | Non-categoricity reveals a sort of incompleteness, with sets existing that the axioms don't reveal [Hallett,M] |
| 17837 | Zermelo allows ur-elements, to enable the widespread application of set-theory [Hallett,M] |
| 9457 | The two main views in philosophy of logic are extensionalism and intensionalism [Jacquette] |
| 9458 | Extensionalists say that quantifiers presuppose the existence of their objects [Jacquette] |
| 9461 | Intensionalists say meaning is determined by the possession of properties [Jacquette] |
| 17836 | The General Continuum Hypothesis and its negation are both consistent with ZF [Hallett,M] |
| 8568 | A property is merely a constituent of laws of nature; temperature is just part of thermodynamics [Mellor] |
| 8564 | There is obviously a possible predicate for every property [Mellor] |
| 8566 | We need universals for causation and laws of nature; the latter give them their identity [Mellor] |
| 8565 | If properties were just the meanings of predicates, they couldn't give predicates their meaning [Mellor] |
| 9460 | Extensionalist semantics forbids reference to nonexistent objects [Jacquette] |
| 9459 | Extensionalist semantics is circular, as we must know the extension before assessing 'Fa' [Jacquette] |
| 8567 | Singular causation requires causes to raise the physical probability of their effects [Mellor] |