8 ideas
21959 | Metaphysics is the most general attempt to make sense of things [Moore,AW] |
9616 | A set is a collection into a whole of distinct objects of our intuition or thought [Cantor] |
8717 | Hilbert wanted to prove the consistency of all of mathematics (which realists take for granted) [Hilbert, by Friend] |
15896 | Cantor needed Power Set for the reals, but then couldn't count the new collections [Cantor, by Lavine] |
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] |
21958 | Appearances are nothing beyond representations, which is transcendental ideality [Moore,AW] |