9 ideas
18469 | God might necessitate that something happen, but He is not the truth-maker for it [Smith,B] |
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] |
16007 | I assume existence, rather than reasoning towards it [Kierkegaard] |
16013 | Nothing necessary can come into existence, since it already 'is' [Kierkegaard] |
17968 | By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert] |