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] |
| 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] |
| 16659 | Relations do not add anything to reality, though they are real aspects of the world [Olivi] |
| 16673 | Quantity just adds union and location to the extension of parts [Olivi] |
| 7522 | A full neural account of qualia will give new epistemic access to them, beyond private experience [Churchlands] |
| 7521 | It is question-begging to assume that qualia are totally simple, hence irreducible [Churchlands] |
| 7523 | The qualia Hard Problem is easy, in comparison with the co-ordination of mental states [Churchlands] |
| 16663 | Things are limited by the species to certain modes of being [Olivi] |