12 ideas
18755 | Validity is explained as truth in all models, because that relies on the logical terms [McGee] |
18751 | Natural language includes connectives like 'because' which are not truth-functional [McGee] |
21597 | Logical connectives have the highest precision, yet are infected by the vagueness of true and false [Russell, by Williamson] |
18761 | Second-order variables need to range over more than collections of first-order objects [McGee] |
18753 | An ontologically secure semantics for predicate calculus relies on sets [McGee] |
18754 | Logically valid sentences are analytic truths which are just true because of their logical words [McGee] |
18757 | Soundness theorems are uninformative, because they rely on soundness in their proofs [McGee] |
18760 | The culmination of Euclidean geometry was axioms that made all models isomorphic [McGee] |
9051 | Since natural language is not precise it cannot be in the province of logic [Russell, by Keefe/Smith] |
9054 | Vagueness is only a characteristic of representations, such as language [Russell] |
5960 | When the soul is intelligent and harmonious, it is part of god and derives from god [Plutarch] |
18762 | A maxim claims that if we are allowed to assert a sentence, that means it must be true [McGee] |