10 ideas
20947 | Thoughts are learnt through words, so language shows the limits and shape of our knowledge [Herder] |
8921 | Structuralism is now common, studying relations, with no regard for what the objects might be [Hellman] |
8698 | Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend] |
9557 | Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara] |
10263 | Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman] |
8922 | Maybe mathematical objects only have structural roles, and no intrinsic nature [Hellman] |
20653 | Six reduction levels: groups, lives, cells, molecules, atoms, particles [Putnam/Oppenheim, by Watson] |
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] |