9 ideas
8207 | The quest for simplicity drove scientists to posit new entities, such as molecules in gases [Quine] |
8208 | In arithmetic, ratios, negatives, irrationals and imaginaries were created in order to generalise [Quine] |
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] |
8205 | Explaining events just by bodies can't explain two events identical in space-time [Quine] |
12716 | The concept of forces or powers best reveals the true concept of substance [Leibniz] |
8206 | Necessity could be just generalisation over classes, or (maybe) quantifying over possibilia [Quine] |