15 ideas
3067 | A philosopher should have principles ready for understanding, like a surgeon with instruments [Aurelius] |
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] |
10245 | One geometry cannot be more true than another [Poincaré] |
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] |
3072 | Everything is changing, including yourself and the whole universe [Aurelius] |
3066 | Nothing is evil which is according to nature [Aurelius] |
3071 | Justice has no virtue opposed to it, but pleasure has temperance opposed to it [Aurelius] |
3069 | The art of life is more like the wrestler's than the dancer's [Aurelius] |
3065 | Humans are naturally made for co-operation [Aurelius] |