10 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] |
22371 | Determinism threatens free will if actions can be causally traced to external factors [Foot] |
22372 | Not all actions need motives, but it is irrational to perform troublesome actions with no motive [Foot] |
467 | A virtue is a combination of intelligence, strength and luck [Ion] |
22373 | People can act out of vanity without being vain, or even vain about this kind of thing [Foot] |
17968 | By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert] |