13 ideas
21054 | Reason enables the unbounded extension of our rules and intentions [Kant] |
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] |
8978 | Events are made of other things, and are not fundamental to ontology [Bennett] |
21053 | The manifest will in the world of phenomena has to conform to the laws of nature [Kant] |
21055 | Our aim is a constitution which combines maximum freedom with strong restraint [Kant] |
21056 | The vitality of business needs maximum freedom (while avoiding harm to others) [Kant] |
21057 | The highest ideal of social progress is a universal cosmopolitan existence [Kant] |
10364 | Facts are about the world, not in it, so they can't cause anything [Bennett] |
17968 | By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert] |