16 ideas
291 | Don't assume that wisdom is the automatic consequence of old age [Plato] |
6859 | Analytic philosophy has much higher standards of thinking than continental philosophy [Williamson] |
6862 | Fuzzy logic uses a continuum of truth, but it implies contradictions [Williamson] |
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] |
6858 | Formal logic struck me as exactly the language I wanted to think in [Williamson] |
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] |
6863 | Close to conceptual boundaries judgement is too unreliable to give knowledge [Williamson] |
6861 | What sort of logic is needed for vague concepts, and what sort of concept of truth? [Williamson] |
6860 | How can one discriminate yellow from red, but not the colours in between? [Williamson] |
293 | Being unafraid (perhaps through ignorance) and being brave are two different things [Plato] |