9 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] |
7557 | To solve Zeno's paradox, reject the axiom that the whole has more terms than the parts [Russell] |
10059 | In mathematic we are ignorant of both subject-matter and truth [Russell] |
7556 | A collection is infinite if you can remove some terms without diminishing its number [Russell] |
17836 | The General Continuum Hypothesis and its negation are both consistent with ZF [Hallett,M] |
7554 | Self-evidence is often a mere will-o'-the-wisp [Russell] |
1556 | By nature people are close to one another, but culture drives them apart [Hippias] |