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Books > Humanities > Philosophy > Topics in philosophy > Logic
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Propositional Logics Third Edition (Hardcover)
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Propositional Logics Third Edition (Hardcover)
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Propositional Logics presents the history, philosophy, and
mathematics of the major systems of propositional logic. Classical
logic, modal logics, many-valued logics, intuitionism,
paraconsistent logics, and dependent implication are examined in
separate chapters. Each begins with a motivation in the
originators' own terms, followed by the standard formal semantics,
syntax, and completeness theorem. The chapters on the various
logics are largely self-contained so that the book can be used as a
reference. An appendix summarizes the formal semantics and
axiomatizations of the logics. The view that unifies the exposition
is that propositional logics comprise a spectrum. As the aspect of
propositions under consideration varies, the logic varies. Each
logic is shown to fall naturally within a general framework for
semantics. A theory of translations between logics is presented
that allows for further comparisons, and necessary conditions are
given for a translation to preserve meaning. For this third edition
the material has been re-organized to make the text easier to
study, and a new section on paraconsistent logics with simple
semantics has been added which challenges standard views on the
nature of consequence relations. The text includes worked examples
and hundreds of exercises, from routine to open problems, making
the book with its clear and careful exposition ideal for courses or
individual study.
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