11 ideas
2626 | A philosopher is outside any community of ideas [Wittgenstein] |
17610 | The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy] |
17620 | Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy] |
17605 | Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy] |
17625 | If two mathematical themes coincide, that suggest a single deep truth [Maddy] |
6569 | 'This sentence is false' sends us in a looping search for its proposition [Wittgenstein, by Fogelin] |
17615 | Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy] |
17618 | Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy] |
17614 | The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy] |
3790 | Causes of beliefs are irrelevant to their contents [Wittgenstein] |
20957 | We don't choose our characters, yet we still claim credit for the actions our characters perform [Schelling] |