10 ideas
| 291 | Don't assume that wisdom is the automatic consequence of old age [Plato] |
| 22820 | Early Romantics sought a plurality of systems, in a quest for freedom [Hösle] |
| 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] |
| 293 | Being unafraid (perhaps through ignorance) and being brave are two different things [Plato] |
| 22819 | In the 18th century history came to be seen as progressive, rather than cyclical [Hösle] |
| 17968 | By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert] |