26 ideas
9766 | Study vagueness first by its logic, then by its truth-conditions, and then its metaphysics [Fine,K] |
8868 | Objective truth arises from interpersonal communication [Davidson] |
23445 | Naïve set theory says any formula defines a set, and coextensive sets are identical [Linnebo] |
9775 | Excluded Middle, and classical logic, may fail for vague predicates [Fine,K] |
23447 | In classical semantics singular terms refer, and quantifiers range over domains [Linnebo] |
9771 | Logic holding between indefinite sentences is the core of all language [Fine,K] |
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] |
9768 | Vagueness is semantic, a deficiency of meaning [Fine,K] |
9776 | A thing might be vaguely vague, giving us higher-order vagueness [Fine,K] |
9767 | A vague sentence is only true for all ways of making it completely precise [Fine,K] |
9770 | Logical connectives cease to be truth-functional if vagueness is treated with three values [Fine,K] |
9772 | Meaning is both actual (determining instances) and potential (possibility of greater precision) [Fine,K] |
9773 | With the super-truth approach, the classical connectives continue to work [Fine,K] |
9774 | Borderline cases must be under our control, as capable of greater precision [Fine,K] |
9769 | Vagueness can be in predicates, names or quantifiers [Fine,K] |
8867 | A belief requires understanding the distinctions of true-and-false, and appearance-and-reality [Davidson] |
10347 | Objectivity is intersubjectivity [Davidson] |
8866 | If we know other minds through behaviour, but not our own, we should assume they aren't like me [Davidson] |
10346 | Knowing other minds rests on knowing both one's own mind and the external world [Davidson, by Dummett] |
8870 | Content of thought is established through communication, so knowledge needs other minds [Davidson] |
8869 | The principle of charity attributes largely consistent logic and largely true beliefs to speakers [Davidson] |