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Many-Valued Logics: Volume 1: Theoretical Foundations by Leonard Bolc; Piotr Borowik is a book available to read on EtoBox.

What is Many-Valued Logics: Volume 1: Theoretical Foundations about?

Many-valued logics were developed as an attempt to handle philosophical doubts about the "law of excluded middle" in classical logic. The first many-valued formal systems were developed by J. Lukasiewicz in Poland and E.Post in the U.S.A. in the 1920s, and since then the field has expanded dramatically as the applicability of the systems to other philosophical and semantic problems was recognized. Intuitionisticlogic, for example, arose from deep problems in the foundations of mathematics. Fuzzy logics, approximation logics, and probability logics all address questions that classical logic alone cannot answer. All these interpretations of many-valued calculi motivate specific formal systems thatallow detailed mathematical treatment. In this volume, the authors are concerned with finite-valued logics, and especially with three-valued logical calculi. Matrix constructions, axiomatizations of propositional and predicate calculi, syntax, semantic structures, and methodology are discussed. Separate chapters deal with intuitionistic logic, fuzzy logics, approximation logics, and probability logics. These systems all find application in practice, in automatic inference processes, which ha

Author

Leonard Bolc; Piotr Borowik

Publisher

Springer Spektrum. in Springer-Verlag GmbH

Published

2013

Language

EN

ISBN

9783540559269

Subjects

Mathematics, Computer Science, Programming