14 ideas
| 10801 | Either reference really matters, or we don't need to replace it with substitutions [Quine] |
| 10185 | Set theory is the standard background for modern mathematics [Burgess] |
| 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] |
| 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] |
| 17499 | Theoretical models can represent, by mapping onto the data-models [Portides] |
| 17498 | In the 'received view' models are formal; the 'semantic view' emphasises representation [Portides, by PG] |
| 17501 | Representational success in models depends on success of their explanations [Portides] |
| 17502 | The best model of the atomic nucleus is the one which explains the most results [Portides] |
| 17496 | 'Model' belongs in a family of concepts, with representation, idealisation and abstraction [Portides] |
| 17497 | Models are theory-driven, or phenomenological (more empirical and specific) [Portides] |
| 17500 | General theories may be too abstract to actually explain the mechanisms [Portides] |