11 ideas
15970 | People generalise because it is easier to understand, and that is mistaken for deep philosophy [Feynman] |
3299 | In logic identity involves reflexivity (x=x), symmetry (if x=y, then y=x) and transitivity (if x=y and y=z, then x=z) [Baillie] |
10245 | One geometry cannot be more true than another [Poincaré] |
15923 | Poincaré rejected the actual infinite, claiming definitions gave apparent infinity to finite objects [Poincaré, by Lavine] |
10180 | Mathematicians do not study objects, but relations between objects [Poincaré] |
9916 | Convention, yes! Arbitrary, no! [Poincaré, by Putnam] |
18203 | Avoid non-predicative classifications and definitions [Poincaré] |
9410 | Physical Laws are rhythms and patterns in nature, revealed by analysis [Feynman] |
15877 | The aim of science is just to create a comprehensive, elegant language to describe brute facts [Poincaré, by Harré] |
18530 | Nobody understands quantum mechanics [Feynman] |
17707 | We should regard space as made up of many tiny pieces [Feynman, by Mares] |