14 ideas
18270 | Choice suggests that intensions are not needed to ensure classes [Coffa] |
23623 | Predicativism says only predicated sets exist [Hossack] |
23624 | The iterative conception has to appropriate Replacement, to justify the ordinals [Hossack] |
23625 | Limitation of Size justifies Replacement, but then has to appropriate Power Set [Hossack] |
23628 | The connective 'and' can have an order-sensitive meaning, as 'and then' [Hossack] |
23627 | 'Before' and 'after' are not two relations, but one relation with two orders [Hossack] |
23626 | Transfinite ordinals are needed in proof theory, and for recursive functions and computability [Hossack] |
23621 | Numbers are properties, not sets (because numbers are magnitudes) [Hossack] |
23622 | We can only mentally construct potential infinities, but maths needs actual infinities [Hossack] |
18263 | The semantic tradition aimed to explain the a priori semantically, not by Kantian intuition [Coffa] |
18272 | Platonism defines the a priori in a way that makes it unknowable [Coffa] |
18266 | Mathematics generalises by using variables [Coffa] |
5996 | Critolaus redefined Aristotle's moral aim as fulfilment instead of happiness [Critolaus, by White,SA] |
18279 | Relativity is as absolutist about space-time as Newton was about space [Coffa] |