11 ideas
| 20955 | Art can make reason more all-inclusive, by articulating what seemed inexpressible [Bowie] |
| 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] |
| 20950 | German Idealism says our thinking and nature have the same rational structure [Bowie] |
| 20942 | Nazis think race predetermines the self [Bowie] |
| 20946 | Rhetoric is built into language, so it cannot be stripped from philosophy [Bowie] |
| 5954 | All inventions of the mind aim at pleasure, and those that don't are worthless [Metrodorus of Lamp., by Plutarch] |
| 17968 | By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert] |