7 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] |
17837 | Zermelo allows ur-elements, to enable the widespread application of set-theory [Hallett,M] |
15938 | Platonists ruin infinity, which is precisely a growing structure which is never completed [Dummett] |
17836 | The General Continuum Hypothesis and its negation are both consistent with ZF [Hallett,M] |
15939 | For intuitionists it is constructed proofs (which take time) which make statements true [Dummett] |
467 | A virtue is a combination of intelligence, strength and luck [Ion] |