11 ideas
20947 | Thoughts are learnt through words, so language shows the limits and shape of our knowledge [Herder] |
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] |
20949 | Study the use of words, not their origins [Herder] |
7669 | We cannot attain all the ideals of every culture, so there cannot be a perfect life [Herder, by Berlin] |
7668 | Herder invented the idea of being rooted in (or cut off from) a home or a group [Herder, by Berlin] |
6005 | Animals are dangerous and nourishing, and can't form contracts of justice [Hermarchus, by Sedley] |
15877 | The aim of science is just to create a comprehensive, elegant language to describe brute facts [Poincaré, by Harré] |