10 ideas
21563 | The 'no classes' theory says the propositions just refer to the members [Russell] |
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] |
21565 | Richard's puzzle uses the notion of 'definition' - but that cannot be defined [Russell] |
21564 | Vicious Circle: what involves ALL must not be one of those ALL [Russell] |
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] |
6215 | 'Contingent' means that the cause is unperceived, not that there is no cause [Hobbes] |
17968 | By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert] |