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] |
| 8568 | A property is merely a constituent of laws of nature; temperature is just part of thermodynamics [Mellor] |
| 8564 | There is obviously a possible predicate for every property [Mellor] |
| 8566 | We need universals for causation and laws of nature; the latter give them their identity [Mellor] |
| 8565 | If properties were just the meanings of predicates, they couldn't give predicates their meaning [Mellor] |
| 467 | A virtue is a combination of intelligence, strength and luck [Ion] |
| 8567 | Singular causation requires causes to raise the physical probability of their effects [Mellor] |