20 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] |
3523 | Shadows are supervenient on their objects, but not reducible [Maslin] |
3517 | 'Ontology' means 'study of things which exist' [Maslin] |
3538 | Analogy to other minds is uncheckable, over-confident and chauvinistic [Maslin] |
3540 | If we are brains then we never meet each other [Maslin] |
3518 | I'm not the final authority on my understanding of maths [Maslin] |
3530 | Denial of purely mental causation will lead to epiphenomenalism [Maslin] |
3520 | Token-identity removes the explanatory role of the physical [Maslin] |
1748 | Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius] |
3528 | Causality may require that a law is being followed [Maslin] |
3525 | Strict laws make causation logically necessary [Maslin] |
3527 | Strict laws allow no exceptions and are part of a closed system [Maslin] |
5989 | Archelaus said life began in a primeval slime [Archelaus, by Schofield] |