12 ideas
9198 | It is no longer possible to be a sage, but we can practice the exercise of wisdom [Hadot] |
9197 | The logos represents a demand for universal rationality [Hadot] |
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] |
19347 | Substance needs independence, unity, and stability (for individuation); also it is a subject, for predicates [Perkins] |
9196 | The pleasure of existing is the only genuine pleasure [Hadot] |