15 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] |
21315 | A tree remains the same in the popular sense, but not in the strict philosophical sense [Butler] |
21317 | Despite consciousness fluctuating, we are aware that it belongs to one person [Butler] |
21313 | If consciousness of events makes our identity, then if we have forgotten them we didn't exist then [Butler] |
21314 | Consciousness presupposes personal identity, so it cannot constitute it [Butler] |
21318 | If the self changes, we have no responsibilities, and no interest in past or future [Butler] |
1470 | Belief in an afterlife may be unverifiable in this life, but it will be verifiable after death [Hick, by PG] |
1471 | It may be hard to verify that we have become immortal, but we could still then verify religious claims [Hick, by PG] |
1469 | Some things (e.g. a section of the expansion of PI) can be verified but not falsified [Hick, by PG] |