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] |
| 13416 | Mathematics must be based on axioms, which are true because they are axioms, not vice versa [Tait, by Parsons,C] |
| 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] |
| 12295 | 3-D says things are stretched in space but not in time, and entire at a time but not at a location [Fine,K] |
| 12298 | Genuine motion, rather than variation of position, requires the 'entire presence' of the object [Fine,K] |
| 12296 | 4-D says things are stretched in space and in time, and not entire at a time or at a location [Fine,K] |
| 18882 | You can ask when the wedding was, but not (usually) when the bride was [Fine,K, by Simons] |
| 12297 | Three-dimensionalist can accept temporal parts, as things enduring only for an instant [Fine,K] |