16 ideas
23367 | Even pointing a finger should only be done for a reason [Epictetus] |
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] |
20298 | The traditional a priori is justified without experience; post-Quine it became unrevisable by experience [Rey] |
20300 | Externalist synonymy is there being a correct link to the same external phenomena [Rey] |
20294 | 'Married' does not 'contain' its symmetry, nor 'bigger than' its transitivity [Rey] |
20293 | Analytic judgements can't be explained by contradiction, since that is what is assumed [Rey] |
20297 | Analytic statements are undeniable (because of meaning), rather than unrevisable [Rey] |
20301 | The meaning properties of a term are those which explain how the term is typically used [Rey] |
20302 | An intrinsic language faculty may fix what is meaningful (as well as grammatical) [Rey] |
20303 | Research throws doubts on the claimed intuitions which support analyticity [Rey] |
20299 | If we claim direct insight to what is analytic, how do we know it is not sub-consciously empirical? [Rey] |
17968 | By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert] |