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] |
8430 | Causal statements are used to explain, to predict, to control, to attribute responsibility, and in theories [Kim] |
8396 | Many counterfactuals have nothing to do with causation [Kim, by Tooley] |
8429 | Counterfactuals can express four other relations between events, apart from causation [Kim] |
8428 | Causation is not the only dependency relation expressed by counterfactuals [Kim] |
4781 | Many counterfactual truths do not imply causation ('if yesterday wasn't Monday, it isn't Tuesday') [Kim, by Psillos] |
1558 | Clearly the gods ignore human affairs, or they would have given us justice [Thrasymachus] |