Online research in philosophy

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. (shrink)

Let be the class of frames satisfying the condition.

Normal propositional modal systems This first chapter has two main aims. One is to give a general account of the propositional modal systems that we shall ...

THE AUTHOR, THOUGH CRITICAL OF MARTIN’S BOOK, "RELIGIOUS BELIEF", DEFENDS MARTIN FROM THE CRITICISMS OF ROWE AND PLANTINGA BECAUSE THE LATTER HAVE NOT "MADE THEIR CASE" IN CLAIMING THERE IS A CONTRADICTION INVOLVED IN THE ARGUMENT THAT CHRIST AND GOD ARE THE SAME. (STAFF).