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About: Predicate abstraction     Goto   Sponge   NotDistinct   Permalink

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In logic, predicate abstraction is the result of creating a predicate from a sentence. If Q is any formula then the predicate abstract formed from that sentence is (λy.Q), where λ is an abstraction operator and in which every occurrence of y occurs bound by λ in (λy.Q). The resultant predicate (λx.Q(x)) is a monadic predicate capable of taking a term t as argument as in (λx.Q(x))(t), which says that the object denoted by 't' has the property of being such that Q. In modal logic the "de re / de dicto distinction" is stated as 1. (DE DICTO): 2. (DE RE): .