11 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] |
13230 | Particular essence is often captured by generality [Steiner,M] |
18892 | Suppose a world where I'm from different gametes; add my gametes; which one is more me? [McGinn] |
12019 | McGinn falsely claims necessity of origin is a special case of the necessity of identity [Forbes,G on McGinn] |
13229 | Maybe an instance of a generalisation is more explanatory than the particular case [Steiner,M] |
13231 | Explanatory proofs rest on 'characterizing properties' of entities or structure [Steiner,M] |
17968 | By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert] |