13 ideas
| 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] |
| 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] |
| 490 | Everything happens by reason and necessity [Leucippus] |
| 9261 | The 'Ethics' is disappointing, because it fails to try to justify our duties [Prichard] |
| 9262 | The mistake is to think we can prove what can only be seen directly in moral thinking [Prichard] |
| 9260 | Virtues won't generate an obligation, so it isn't a basis for morality [Prichard] |
| 9259 | We feel obligations to overcome our own failings, and these are not relations to other people [Prichard] |
| 9258 | If pain were instrinsically wrong, it would be immoral to inflict it on ourselves [Prichard] |