11 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] |
| 8978 | Events are made of other things, and are not fundamental to ontology [Bennett] |
| 16736 | Explanation is generally to deduce it from something better known, which comes in degrees [Boyle] |
| 16737 | The best explanations get down to primary basics, but others go less deep [Boyle] |
| 10364 | Facts are about the world, not in it, so they can't cause anything [Bennett] |