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] |
23857 | People in power always try to increase their power [Weil] |
23856 | Spontaneous movements are powerless against organised repression [Weil] |
23859 | True democracy is the subordination of society to the individual [Weil] |
23858 | War is perpetuated by its continual preparations [Weil] |
23860 | Even if a drowning man is doomed, he should keep swimming to the last [Weil] |
4398 | An event causes another just if the second event would not have happened without the first [Lewis, by Psillos] |