10 ideas
19695 | The devil was wise as an angel, and lost no knowledge when he rebelled [Whitcomb] |
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] |
9148 | I think of variables as objects rather than as signs [Fine,K] |
17836 | The General Continuum Hypothesis and its negation are both consistent with ZF [Hallett,M] |
9152 | If green is abstracted from a thing, it is only seen as a type if it is common to many things [Fine,K] |
9149 | To obtain the number 2 by abstraction, we only want to abstract the distinctness of a pair of objects [Fine,K] |
9150 | We should define abstraction in general, with number abstraction taken as a special case [Fine,K] |
9146 | After abstraction all numbers seem identical, so only 0 and 1 will exist! [Fine,K] |