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] |
| 12741 | If experience is just a dream, it is still real enough if critical reason is never deceived [Leibniz] |
| 12740 | The strongest criterion that phenomena show reality is success in prediction [Leibniz] |
| 12721 | Light, heat and colour are apparent qualities, and so are motion, figure and extension [Leibniz] |
| 19216 | Propositions (such as 'that dog is barking') only exist if their items exist [Williamson] |
| 17968 | By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert] |