12 ideas
| 10882 | Predicative definitions only refer to entities outside the defined collection [Horsten] |
| 15549 | If it were true that nothing at all existed, would that have a truthmaker? [Lewis] |
| 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] |
| 10884 | A theory is 'categorical' if it has just one model up to isomorphism [Horsten] |
| 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] |
| 10885 | Computer proofs don't provide explanations [Horsten] |
| 17618 | Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy] |
| 10881 | The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten] |
| 17614 | The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy] |