13 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] |
4304 | Descartes says there are two substance, Spinoza one, and Leibniz infinitely many [Cottingham] |
4303 | The notion of substance lies at the heart of rationalist metaphysics [Cottingham] |
13304 | Learned men gain more in one day than others do in a lifetime [Posidonius] |
4306 | For rationalists, it is necessary that effects be deducible from their causes [Cottingham] |
20820 | Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus] |