16 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] |
16674 | The quantity is just the matter, in that it has extended parts and is diffuse [Charleton] |
3546 | 'Phronesis' should translate as 'practical intelligence', not as prudence [Annas] |
3547 | Epicureans achieve pleasure through character development [Annas] |
3543 | Cyrenaics pursue pleasure, but don't equate it with happiness [Annas] |
3541 | Ancient ethics uses attractive notions, not imperatives [Annas] |
3550 | Principles cover life as a whole, where rules just cover actions [Annas] |
3551 | Virtue theory tries to explain our duties in terms of our character [Annas] |
3552 | If excessively good actions are admirable but not required, then duty isn't basic [Annas] |
3542 | We should do good when necessary, not maximise it [Annas] |