12 ideas
10304 | Very few things in set theory remain valid in intuitionist mathematics [Bernays] |
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] |
18760 | The culmination of Euclidean geometry was axioms that made all models isomorphic [McGee] |
10303 | Restricted Platonism is just an ideal projection of a domain of thought [Bernays] |
10306 | Mathematical abstraction just goes in a different direction from logic [Bernays] |
18762 | A maxim claims that if we are allowed to assert a sentence, that means it must be true [McGee] |
20698 | Irenaeus says evil is necessary for perfect human development [Irenaeus, by Davies,B] |