15 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] |
22445 | Morality shows murder is wrong, but not what counts as a murder [Foot] |
22444 | A moral system must deal with the dangers and benefits of life [Foot] |
22447 | Saying something 'just is' right or wrong creates an illusion of fact and objectivity [Foot] |
22448 | We sometimes just use the word 'should' to impose a rule of conduct on someone [Foot] |
22446 | In the case of something lacking independence, calling it a human being is a matter of choice [Foot] |
1748 | Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius] |
5989 | Archelaus said life began in a primeval slime [Archelaus, by Schofield] |