10 ideas
| 20947 | Thoughts are learnt through words, so language shows the limits and shape of our knowledge [Herder] |
| 17879 | Axiomatising set theory makes it all relative [Skolem] |
| 13536 | Skolem did not believe in the existence of uncountable sets [Skolem] |
| 17878 | If a 1st-order proposition is satisfied, it is satisfied in a denumerably infinite domain [Skolem] |
| 17880 | Integers and induction are clear as foundations, but set-theory axioms certainly aren't [Skolem] |
| 13007 | Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz] |
| 17881 | Mathematician want performable operations, not propositions about objects [Skolem] |
| 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] |