14 ideas
| 23445 | Naïve set theory says any formula defines a set, and coextensive sets are identical [Linnebo] |
| 23447 | In classical semantics singular terms refer, and quantifiers range over domains [Linnebo] |
| 23443 | The axioms of group theory are not assertions, but a definition of a structure [Linnebo] |
| 23444 | To investigate axiomatic theories, mathematics needs its own foundational axioms [Linnebo] |
| 23446 | You can't prove consistency using a weaker theory, but you can use a consistent theory [Linnebo] |
| 23448 | Mathematics is the study of all possible patterns, and is thus bound to describe the world [Linnebo] |
| 23441 | Logical truth is true in all models, so mathematical objects can't be purely logical [Linnebo] |
| 23442 | Game Formalism has no semantics, and Term Formalism reduces the semantics [Linnebo] |
| 14296 | Dispositions are physical states of mechanism; when known, these replace the old disposition term [Quine] |
| 14919 | Empiricists deny what is unobservable, and reject objective modality [Fraassen] |
| 6783 | To 'accept' a theory is not to believe it, but to believe it empirically adequate [Fraassen, by Bird] |
| 14917 | To accept a scientific theory, we only need to believe that it is empirically adequate [Fraassen] |
| 6784 | Why should the true explanation be one of the few we have actually thought of? [Fraassen, by Bird] |
| 13066 | An explanation is just descriptive information answering a particular question [Fraassen, by Salmon] |