6 ideas
18189 | ZFC could contain a contradiction, and it can never prove its own consistency [MacLane] |
19043 | Bivalence applies not just to sentences, but that general terms are true or false of each object [Quine] |
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] |
19042 | Terms learned by ostension tend to be vague, because that must be quick and unrefined [Quine] |