14 ideas
1749 | If all laws were abolished, philosophers would still live as they do now [Aristippus elder] |
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] |
16674 | The quantity is just the matter, in that it has extended parts and is diffuse [Charleton] |
3558 | Only the Cyrenaics reject the idea of a final moral end [Aristippus elder, by Annas] |
5835 | The road of freedom is the surest route to happiness [Aristippus elder, by Xenophon] |
3018 | People who object to extravagant pleasures just love money [Aristippus elder, by Diog. Laertius] |
1751 | Pleasure is the good, because we always seek it, it satisfies us, and its opposite is the most avoidable thing [Aristippus elder, by Diog. Laertius] |
1755 | Errors result from external influence, and should be corrected, not hated [Aristippus elder, by Diog. Laertius] |