20 ideas
14092 | Philosophers are often too fussy about words, dismissing perfectly useful ordinary terms [Rosen] |
14100 | Figuring in the definition of a thing doesn't make it a part of that thing [Rosen] |
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] |
14096 | Explanations fail to be monotonic [Rosen] |
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] |
14097 | Things could be true 'in virtue of' others as relations between truths, or between truths and items [Rosen] |
14095 | Facts are structures of worldly items, rather like sentences, individuated by their ingredients [Rosen] |
14093 | An 'intrinsic' property is one that depends on a thing and its parts, and not on its relations [Rosen] |
14094 | The excellent notion of metaphysical 'necessity' cannot be defined [Rosen] |
14101 | Are necessary truths rooted in essences, or also in basic grounding laws? [Rosen] |
14099 | 'Bachelor' consists in or reduces to 'unmarried' male, but not the other way around [Rosen] |
13304 | Learned men gain more in one day than others do in a lifetime [Posidonius] |
20820 | Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus] |
14098 | An acid is just a proton donor [Rosen] |