11 ideas
| 10528 | Definitions concern how we should speak, not how things are [Fine,K] |
| 10529 | If Hume's Principle can define numbers, we needn't worry about its truth [Fine,K] |
| 10530 | Hume's Principle is either adequate for number but fails to define properly, or vice versa [Fine,K] |
| 8698 | Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend] |
| 9557 | Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara] |
| 10263 | Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman] |
| 8967 | Not all predicates can be properties - 'is non-self-exemplifying', for example [Lowe] |
| 8965 | Neither mere matter nor pure form can individuate a sphere, so it must be a combination [Lowe] |
| 8968 | If the flagpole causally explains the shadow, the shadow cannot explain the flagpole [Lowe] |
| 8966 | Properties are facets of objects, only discussable separately by an act of abstraction [Lowe] |
| 10527 | An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K] |