11 ideas
19395 | Philosophy is sanctified, because it flows from God [Leibniz] |
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] |
19394 | Inequality can be brought infinitely close to equality [Leibniz] |
23035 | The good life aims at perfections, or absolute laws, or what is absolutely desirable [Green,TH] |
23037 | People are improved by egalitarian institutions and habits [Green,TH] |
23043 | All talk of the progress of a nation must reduce to the progress of its individual members [Green,TH] |
17968 | By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert] |