16 ideas
15375 | If terms change their designations in different states, they are functions from states to objects [Fitting] |
15376 | Intensional logic adds a second type of quantification, over intensional objects, or individual concepts [Fitting] |
15378 | Awareness logic adds the restriction of an awareness function to epistemic logic [Fitting] |
15379 | Justication logics make explicit the reasons for mathematical truth in proofs [Fitting] |
11026 | Classical logic is deliberately extensional, in order to model mathematics [Fitting] |
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] |
11028 | λ-abstraction disambiguates the scope of modal operators [Fitting] |
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] |
3425 | Reduction has been defined as deriving one theory from another by logic and maths [Nagel,E, by Kim] |
15377 | Definite descriptions pick out different objects in different possible worlds [Fitting] |
18762 | A maxim claims that if we are allowed to assert a sentence, that means it must be true [McGee] |