7 ideas
8717 | Hilbert wanted to prove the consistency of all of mathematics (which realists take for granted) [Hilbert, by Friend] |
10113 | The grounding of mathematics is 'in the beginning was the sign' [Hilbert] |
10115 | Hilbert substituted a syntactic for a semantic account of consistency [Hilbert, by George/Velleman] |
10116 | Hilbert aimed to prove the consistency of mathematics finitely, to show infinities won't produce contradictions [Hilbert, by George/Velleman] |
10558 | Abstract objects are actually constituted by the properties by which we conceive them [Zalta] |
10557 | Abstract objects are captured by second-order modal logic, plus 'encoding' formulas [Zalta] |
20344 | Music is not an expressive art, because it expresses no familiar emotions [Hanslick, by Wollheim] |