10 ideas
| 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] |
| 10414 | Abstract objects are constituted by encoded collections of properties [Zalta, by Swoyer] |
| 10558 | Abstract objects are actually constituted by the properties by which we conceive them [Zalta] |
| 10415 | Properties make round squares and round triangles distinct, unlike exemplification [Zalta, by Swoyer] |
| 10557 | Abstract objects are captured by second-order modal logic, plus 'encoding' formulas [Zalta] |
| 1513 | The Egyptians were the first to say the soul is immortal and reincarnated [Herodotus] |