12 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] |
| 3016 | Even the gods cannot strive against necessity [Pittacus, by Diog. Laertius] |
| 17968 | By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert] |
| 21275 | Unlike a stone, the parts of a watch are obviously assembled in order to show the time [Paley] |
| 21276 | From the obvious purpose and structure of a watch we must infer that it was designed [Paley] |
| 21277 | Even an imperfect machine can exhibit obvious design [Paley] |
| 21278 | All the signs of design found in a watch are also found in nature [Paley] |
| 21357 | No organ shows purpose more obviously than the eyelid [Paley] |