11 ideas
| 18261 | A simplification which is complete constitutes a definition [Kant] |
| 22275 | Logic gives us the necessary rules which show us how we ought to think [Kant] |
| 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] |
| 15312 | We get the idea of power by abstracting from ropes, magnets and electric shocks [Priestley] |
| 18260 | If we knew what we know, we would be astonished [Kant] |
| 17968 | By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert] |
| 15311 | Attraction or repulsion are not imparted to matter, but actually constitute it [Priestley] |