12 ideas
23445 | Naïve set theory says any formula defines a set, and coextensive sets are identical [Linnebo] |
10800 | The values of variables can't determine existence, because they are just expressions [Ryle, by Quine] |
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] |
22371 | Determinism threatens free will if actions can be causally traced to external factors [Foot] |
22372 | Not all actions need motives, but it is irrational to perform troublesome actions with no motive [Foot] |
22373 | People can act out of vanity without being vain, or even vain about this kind of thing [Foot] |