8 ideas
| 18261 | A simplification which is complete constitutes a definition [Kant] |
| 22275 | Logic gives us the necessary rules which show us how we ought to think [Kant] |
| 13472 | Hilbert aimed to eliminate number from geometry [Hilbert, by Hart,WD] |
| 9546 | Euclid axioms concerns possibilities of construction, but Hilbert's assert the existence of objects [Hilbert, by Chihara] |
| 18742 | Hilbert's formalisation revealed implicit congruence axioms in Euclid [Hilbert, by Horsten/Pettigrew] |
| 18217 | Hilbert's geometry is interesting because it captures Euclid without using real numbers [Hilbert, by Field,H] |
| 18260 | If we knew what we know, we would be astonished [Kant] |
| 23221 | The brain, and all the mental events within it, consists entirely of sensitive and rational matter [Cavendish] |