14 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] |
304 | Beautiful things must be different from beauty itself, but beauty itself must be present in each of them [Plato] |
16120 | Knowing how to achieve immortality is pointless without the knowledge how to use immortality [Plato] |
303 | Say how many teeth the other has, then count them. If you are right, we will trust your other claims [Plato] |
302 | What knowledge is required to live well? [Plato] |
301 | Only knowledge of some sort is good [Plato] |
305 | Something which lies midway between two evils is better than either of them [Plato] |
7907 | Human killing is worse if the victim is virtuous [Buddhaghosa] |