10 ideas
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] |
18270 | Choice suggests that intensions are not needed to ensure classes [Coffa] |
17837 | Zermelo allows ur-elements, to enable the widespread application of set-theory [Hallett,M] |
17836 | The General Continuum Hypothesis and its negation are both consistent with ZF [Hallett,M] |
18263 | The semantic tradition aimed to explain the a priori semantically, not by Kantian intuition [Coffa] |
18272 | Platonism defines the a priori in a way that makes it unknowable [Coffa] |
3061 | Anaxarchus said that he was not even sure that he knew nothing [Anaxarchus, by Diog. Laertius] |
18266 | Mathematics generalises by using variables [Coffa] |
18279 | Relativity is as absolutist about space-time as Newton was about space [Coffa] |