A New Introduction to Modal Logic

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This long-awaited book replaces not one but both of Hughes and Cresswell's two previous classic studies of modal logic: "An Introduction to Modal Logic" and "A Companion to Modal Logic." "A New Introduction to Modal Logic" has been completely rewritten by the authors to incorporate all the developments that have taken place since 1968 both in modal propositional logical and modal predicate logic, but without sacrificing the clarity of exposition and approachability that were essential features of the earlier works. The book takes readers through the most basic systems of modal prepositional logic right up to systems of modal predicate with identity. It deals with both technical developments such as completeness and incompleteness, and finite and infinite models, and discusses philosophical applications, especially, in the area of modal predicate logic.