13 ideas
15842 | An ad hominem refutation is reasonable, if it uses the opponent's assumptions [Harte,V] |
15841 | Mereology began as a nominalist revolt against the commitments of set theory [Harte,V] |
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] |
15858 | Traditionally, the four elements are just what persists through change [Harte,V] |
15848 | Mereology treats constitution as a criterion of identity, as shown in the axiom of extensionality [Harte,V] |
15837 | What exactly is a 'sum', and what exactly is 'composition'? [Harte,V] |
15839 | If something is 'more than' the sum of its parts, is the extra thing another part, or not? [Harte,V] |
15838 | The problem with the term 'sum' is that it is singular [Harte,V] |
3015 | The virtue of man is thoughtful foresight of future events [Chilo, by Diog. Laertius] |