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Many-Valued Logics 1: Theoretical Foundations

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Description:Many-valued logics were developed as an attempt to handlephilosophical doubts about the "law of excluded middle" inclassical logic. The first many-valued formal systems weredeveloped by J. Lukasiewicz in Poland and E.Post in theU.S.A. in the 1920s, and since then the field has expandeddramatically as the applicability of the systems to otherphilosophical and semantic problems was recognized.Intuitionisticlogic, for example, arose from deep problemsin the foundations of mathematics. Fuzzy logics,approximation logics, and probability logics all addressquestions that classical logic alone cannot answer. Allthese interpretations of many-valued calculi motivatespecific formal systems thatallow detailed mathematicaltreatment.In this volume, the authors are concerned with finite-valuedlogics, and especially with three-valued logical calculi.Matrix constructions, axiomatizations of propositional andpredicate calculi, syntax, semantic structures, andmethodology are discussed. Separate chapters deal withintuitionistic logic, fuzzy logics, approximation logics,and probability logics. These systems all find applicationin practice, in automatic inference processes, which havebeen decisive for the intensive development of these logics.This volume acquaints the reader with theoreticalfundamentals of many-valued logics. It is intended to be thefirst of a two-volume work. The second volume will deal withpractical applications and methods of automated reasoningusing many-valued logics.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Many-Valued Logics 1: Theoretical Foundations. To get started finding Many-Valued Logics 1: Theoretical Foundations, you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 3662084945

Description: Many-valued logics were developed as an attempt to handlephilosophical doubts about the "law of excluded middle" inclassical logic. The first many-valued formal systems weredeveloped by J. Lukasiewicz in Poland and E.Post in theU.S.A. in the 1920s, and since then the field has expandeddramatically as the applicability of the systems to otherphilosophical and semantic problems was recognized.Intuitionisticlogic, for example, arose from deep problemsin the foundations of mathematics. Fuzzy logics,approximation logics, and probability logics all addressquestions that classical logic alone cannot answer. Allthese interpretations of many-valued calculi motivatespecific formal systems thatallow detailed mathematicaltreatment.In this volume, the authors are concerned with finite-valuedlogics, and especially with three-valued logical calculi.Matrix constructions, axiomatizations of propositional andpredicate calculi, syntax, semantic structures, andmethodology are discussed. Separate chapters deal withintuitionistic logic, fuzzy logics, approximation logics,and probability logics. These systems all find applicationin practice, in automatic inference processes, which havebeen decisive for the intensive development of these logics.This volume acquaints the reader with theoreticalfundamentals of many-valued logics. It is intended to be thefirst of a two-volume work. The second volume will deal withpractical applications and methods of automated reasoningusing many-valued logics.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Many-Valued Logics 1: Theoretical Foundations. To get started finding Many-Valued Logics 1: Theoretical Foundations, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Many-Valued Logics 1: Theoretical Foundations

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