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Handbook of Philosophical Logic - Volume II: Extensions of Classical Logic (Paperback, Softcover reprint of the original 1st ed. 1984)
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Handbook of Philosophical Logic - Volume II: Extensions of Classical Logic (Paperback, Softcover reprint of the original 1st ed. 1984)
Series: Synthese Library, 165
Expected to ship within 10 - 15 working days
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The chapters in the present volume go beyond 'classical'
extensional logic with respect to one important factor: they all
include among the semantic constituents representations of
so-called 'possible worlds'. The inclusion of such 'indices' has
turned out to be the semantic mainstay in dealing with a number of
issues having to do with intensional features of natural and
artificial languages. It is, of course, an open question whether
'possible world' semantics is in the final analysis the proper
solution to the many problems and puzzles intensional constructions
raise for the logical analysis of the many varieties of discourse.
At present, there seem to be about as many opponents as proponents
with regard to the usefulness of having the semantics of
intensional languages based on possible world constructs. Some
attempts to come to grips with intensional phenomena which are not
couched in the possible world framework are discussed in Volume IV
of the Handbook. Chapter 1 is an extensive survey of the main
systems of (propositional) modal logic including the most important
meta-mathematical results and the techniques used in establishing
these. It introduces the basic terminology and semantic machinery
applied in one way or another in many of the subsequent chapters.
Chapter 2 discusses the most significant developments in
(propositional) tense logic which can of course be regarded as a
special kind of modal logic, where the possible world indices are
simply (ordered) moments of time.
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