12 ideas
15390 | Metaphysics attempts to give an account of everything, in terms of categories and principles [Simons] |
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] |
23633 | Many truths seem obvious, and point to universal agreement - which is what we find [Reid] |
23630 | Only philosophers treat ideas as objects [Reid] |
23629 | The ambiguity of words impedes the advancement of knowledge [Reid] |
23632 | Similar effects come from similar causes, and causes are only what are sufficient for the effects [Reid] |