9 ideas
| 10185 | Set theory is the standard background for modern mathematics [Burgess] |
| 8921 | Structuralism is now common, studying relations, with no regard for what the objects might be [Hellman] |
| 10184 | Structuralists take the name 'R' of the reals to be a variable ranging over structures, not a structure [Burgess] |
| 10189 | There is no one relation for the real number 2, as relations differ in different models [Burgess] |
| 8922 | Maybe mathematical objects only have structural roles, and no intrinsic nature [Hellman] |
| 10186 | If set theory is used to define 'structure', we can't define set theory structurally [Burgess] |
| 10187 | Abstract algebra concerns relations between models, not common features of all the models [Burgess] |
| 10188 | How can mathematical relations be either internal, or external, or intrinsic? [Burgess] |
| 16674 | The quantity is just the matter, in that it has extended parts and is diffuse [Charleton] |