14 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] |
| 14217 | The 'standard' view of relations is that they hold of several objects in a given order [Fine,K] |
| 14216 | The 'positionalist' view of relations says the number of places is fixed, but not the order [Fine,K] |
| 14218 | A block on top of another contains one relation, not both 'on top of' and 'beneath' [Fine,K] |
| 14220 | Explain biased relations as orderings of the unbiased, or the unbiased as permutation classes of the biased? [Fine,K] |
| 14219 | Language imposes a direction on a road which is not really part of the road [Fine,K] |
| 21912 | Fichte, Schelling and Hegel rejected transcendental idealism [Lewis,PB] |
| 21911 | Fichte, Hegel and Schelling developed versions of Absolute Idealism [Lewis,PB] |