11 ideas
8921 | Structuralism is now common, studying relations, with no regard for what the objects might be [Hellman] |
8698 | Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend] |
9557 | Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara] |
10263 | Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman] |
8922 | Maybe mathematical objects only have structural roles, and no intrinsic nature [Hellman] |
7401 | Heat and colour don't exist, so cannot mislead about the external world [Galileo, by Tuck] |
5454 | Tastes, odours and colours only reside in consciousness, and would disappear with creatures [Galileo] |
16560 | Galileo introduced geometrico-mechanical explanation, based on Archimedes [Galileo, by Machamer/Darden/Craver] |
1799 | If we can't know minds, we can't know if Pyrrho was a sceptic [Theodosius, by Diog. Laertius] |
3645 | To understand the universe mathematics is essential [Galileo] |
19673 | Galileo mathematised movement, and revealed its invariable component - acceleration [Galileo, by Meillassoux] |