12 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] |
| 3016 | Even the gods cannot strive against necessity [Pittacus, by Diog. Laertius] |
| 12313 | Explanation is for curiosity, control, understanding, to make meaningful, or to give authority [Stanford] |
| 12314 | Audience-relative explanation, or metaphysical explanation based on information? [Stanford] |
| 12315 | We can explain by showing constitution, as well as showing causes [Stanford] |