11 ideas
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] |
22331 | Moral statements are imperatives rather than the avowals of emotion - but universalisable [Hare, by Glock] |
22484 | Universalised prescriptivism could be seen as implying utilitarianism [Hare, by Foot] |
6449 | The categorical imperative leads to utilitarianism [Hare, by Nagel] |
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] |
5989 | Archelaus said life began in a primeval slime [Archelaus, by Schofield] |