14 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] |
3546 | 'Phronesis' should translate as 'practical intelligence', not as prudence [Annas] |
3547 | Epicureans achieve pleasure through character development [Annas] |
3543 | Cyrenaics pursue pleasure, but don't equate it with happiness [Annas] |
3541 | Ancient ethics uses attractive notions, not imperatives [Annas] |
3550 | Principles cover life as a whole, where rules just cover actions [Annas] |
3551 | Virtue theory tries to explain our duties in terms of our character [Annas] |
3552 | If excessively good actions are admirable but not required, then duty isn't basic [Annas] |
3542 | We should do good when necessary, not maximise it [Annas] |
17968 | By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert] |