14 ideas
| 18270 | Choice suggests that intensions are not needed to ensure classes [Coffa] |
| 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] |
| 18263 | The semantic tradition aimed to explain the a priori semantically, not by Kantian intuition [Coffa] |
| 18272 | Platonism defines the a priori in a way that makes it unknowable [Coffa] |
| 18088 | Intentionality is the mark of dispositions, not of the mental [Place] |
| 18266 | Mathematics generalises by using variables [Coffa] |
| 18089 | Dispositions are not general laws, but laws of the natures of individual entities [Place] |
| 18279 | Relativity is as absolutist about space-time as Newton was about space [Coffa] |