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] |
9390 | Logic guides thinking, but it isn't a substitute for it [Rumfitt] |
17836 | The General Continuum Hypothesis and its negation are both consistent with ZF [Hallett,M] |
9389 | Vague membership of sets is possible if the set is defined by its concept, not its members [Rumfitt] |
6231 | There is a self-determing power in each person, which makes them what they are [Cudworth] |