12 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] |
23683 | Moral norms are objective, connected to facts about human goods [Foot, by Hacker-Wright] |
23684 | Morality gives everyone reasons to act, irrespective of their desires [Foot, by Hacker-Wright] |
23690 | We all have reason to cultivate the virtues, even when we lack the desire [Foot, by Hacker-Wright] |
22379 | The meaning of 'good' and other evaluations must include the object to which they attach [Foot] |
22457 | If the aim is good outcomes, why are killings worse than deaths? [Scheffler, by Foot] |