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] |
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] |
17809 | Gödel showed that the syntactic approach to the infinite is of limited value [Kreisel] |
17810 | The study of mathematical foundations needs new non-mathematical concepts [Kreisel] |
18760 | The culmination of Euclidean geometry was axioms that made all models isomorphic [McGee] |
19347 | Substance needs independence, unity, and stability (for individuation); also it is a subject, for predicates [Perkins] |
18762 | A maxim claims that if we are allowed to assert a sentence, that means it must be true [McGee] |
17811 | The natural conception of points ducks the problem of naming or constructing each point [Kreisel] |