10 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] |
18521 | The criterion of existence is the possibility of action [Santayana] |
7276 | All art is quite useless [Wilde] |
7274 | Books are only well or badly written, not moral or immoral [Wilde] |
7275 | Having ethical sympathies is a bad mannerism of style in an artist [Wilde] |
17968 | By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert] |