12 ideas
| 13099 | Analysing right down to primitive concepts seems beyond our powers [Leibniz] |
| 5022 | We hold a proposition true if we are ready to follow it, and can't see any objections [Leibniz] |
| 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] |
| 14596 | Call 'nominalism' the denial of numbers, properties, relations and sets [Dorr] |
| 14597 | Natural Class Nominalism says there are primitive classes of things resembling in one respect [Dorr] |
| 14598 | Abstracta imply non-logical brute necessities, so only nominalists can deny such things [Dorr] |