13 ideas
| 18270 | Choice suggests that intensions are not needed to ensure classes [Coffa] |
| 17963 | The facts of geometry, arithmetic or statics order themselves into theories [Hilbert] |
| 17966 | Axioms must reveal their dependence (or not), and must be consistent [Hilbert] |
| 17967 | To decide some questions, we must study the essence of mathematical proof itself [Hilbert] |
| 17965 | The whole of Euclidean geometry derives from a basic equation and transformations [Hilbert] |
| 17964 | Number theory just needs calculation laws and rules for integers [Hilbert] |
| 18263 | The semantic tradition aimed to explain the a priori semantically, not by Kantian intuition [Coffa] |
| 18272 | Platonism defines the a priori in a way that makes it unknowable [Coffa] |
| 18266 | Mathematics generalises by using variables [Coffa] |
| 1748 | Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius] |
| 17968 | By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert] |
| 18279 | Relativity is as absolutist about space-time as Newton was about space [Coffa] |
| 5989 | Archelaus said life began in a primeval slime [Archelaus, by Schofield] |