6 ideas
8460 | Philosophers have given precise senses to deduction, probability, computability etc [Quine/Ullian] |
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] |
17836 | The General Continuum Hypothesis and its negation are both consistent with ZF [Hallett,M] |
13007 | Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz] |