11 ideas
10882 | Predicative definitions only refer to entities outside the defined collection [Horsten] |
10884 | A theory is 'categorical' if it has just one model up to isomorphism [Horsten] |
8717 | Hilbert wanted to prove the consistency of all of mathematics (which realists take for granted) [Hilbert, by Friend] |
10885 | Computer proofs don't provide explanations [Horsten] |
10881 | The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten] |
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] |
7906 | When the Buddha reached the highest level of insight, he could detect no self in the world [Ashvaghosha] |
7904 | The first stage of trance is calm amidst applied and discursive thinking [Ashvaghosha] |
7905 | The Buddha sought ultimate reality and the final goal of existence in his meditations [Ashvaghosha] |