14 ideas
| 20728 | Metaphysics is hopeless with its present epistemology; common-sense realism is needed [Colvin] |
| 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] |
| 20726 | We can only distinguish self from non-self if there is an inflexible external reality [Colvin] |
| 20727 | Common-sense realism rests on our interests and practical life [Colvin] |
| 20730 | If objects are doubted because their appearances change, that presupposes one object [Colvin] |
| 20729 | Arguments that objects are unknowable or non-existent assume the knower's existence [Colvin] |
| 20731 | The idea that everything is relations is contradictory; relations are part of the concept of things [Colvin] |
| 18438 | Every worldly event, without exception, is a redistribution of microphysical states [Quine] |