9 ideas
18189 | ZFC could contain a contradiction, and it can never prove its own consistency [MacLane] |
8921 | Structuralism is now common, studying relations, with no regard for what the objects might be [Hellman] |
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] |
8922 | Maybe mathematical objects only have structural roles, and no intrinsic nature [Hellman] |
16669 | Everything that exists is either a being, or some mode of a being [Malebranche] |
12726 | In a true cause we see a necessary connection [Malebranche] |
2594 | A true cause must involve a necessary connection between cause and effect [Malebranche] |