22 ideas
23445 | Naïve set theory says any formula defines a set, and coextensive sets are identical [Linnebo] |
11211 | If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt] |
11210 | Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt] |
11212 | The sense of a connective comes from primitively obvious rules of inference [Rumfitt] |
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] |
11214 | We learn 'not' along with affirmation, by learning to either affirm or deny a sentence [Rumfitt] |
8239 | If the King likes music then there is hope for the state [Mengzi (Mencius)] |
23398 | Human nature is naturally compassionate and good (as a 'sprout'), but people may not be good [Mengzi (Mencius), by Norden] |
23400 | Righteousness is extending the unthinkable, to reveal what must be done [Mengzi (Mencius)] |
23399 | Each correct feeling relies on an underlying virtue [Mengzi (Mencius)] |
8235 | Should a coward who ran fifty paces from a battle laugh at another who ran a hundred? [Mengzi (Mencius)] |
8240 | A true king shares his pleasure with the people [Mengzi (Mencius)] |
8237 | Extend the treatment of the old and young in your family to the rest of society [Mengzi (Mencius)] |
8241 | Only put someone to death if the whole population believes it is deserved [Mengzi (Mencius)] |
8238 | Seeking peace through war is like looking for fish up a tree [Mengzi (Mencius)] |
8236 | Avoid the animals you are going to eat, as it is hard once you have got to know them [Mengzi (Mencius)] |