Many-Valued Logics
Author:   Grzegorz Malinowski (Head of Department of Logic, Head of Department of Logic, University of Lodz, Poland)
Publisher:   Oxford University Press
Volume:   25
ISBN:  

9780198537878


Pages:   138
Publication Date:   16 December 1993
Format:   Hardback
Availability:   To order   Availability explained
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Many-Valued Logics


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Overview

The book attempts an elementary exposition of the topics connected with many-valued logics. It gives an account of the constructions being ""many-valued"" at their origin, i.e. those obtained through intended introduction of logical values next to truth and falsity. To this aim, the matrix method has been chosen as a prevailing manner of presenting the subject. The inquiry throws light upon the profound problem of the criteria of many-valuedness and its classical characterizations. Besides, the reader can find information concerning the main systems of many-valued logic, related axiomatic constructions, and conceptions inspired by many valuedness. The examples of various applications to philosophical logic and some practical domains, as switching theory or Computer Science, helps to see many-valuedness in a wider perspective. Together with a selective bibliography and historical references it makes the work especially useful as a survey and guide in this field of logic.

Full Product Details

Author:   Grzegorz Malinowski (Head of Department of Logic, Head of Department of Logic, University of Lodz, Poland)
Publisher:   Oxford University Press
Imprint:   Clarendon Press
Volume:   25
Dimensions:   Width: 15.80cm , Height: 1.30cm , Length: 24.20cm
Weight:   0.347kg
ISBN:  

9780198537878


ISBN 10:   0198537875
Pages:   138
Publication Date:   16 December 1993
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   To order   Availability explained
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.

Table of Contents

Introduction ; 1. The classical logic ; 2. The third logical value of Lukasiewicz ; 3. Logic algebras and matrices ; 4. Many-valuedness ; 5. Lukasiewicz logics ; 6. Post logics ; 7. Three-valuedness of Kleene and Bochvar ; 8. Standard properties of many-valued constructions ; 9. Probability and many-valuedness ; 10. Classical characterization of many-valued logics ; 11. Quantifiers in many-valued logic ; 12. Intuitionism and the modal logics of Lewis ; 13. Fuzzy sets and Zadeh logic ; 14. Applications and significance of the topic ; Bibliography ; Author index ; Subject index

Reviews

Informative....Gives a very good overview for someone wishing to orient themselves in the field, and provides a substantial list of references for anyone wishing to follow up particular topics. It is the best introductory monograph in the field, and can be confidently recommended to students....An excellent read. --Notre Dame Journal of Formal Logic<br> All the text is very didactic and pleasant to read. . .every chapter presents a specific historical account and a discussion about the main objectives of the many-valued systems studied. --Mathematical Reviews<br>


Informative....Gives a very good overview for someone wishing to orient themselves in the field, and provides a substantial list of references for anyone wishing to follow up particular topics. It is the best introductory monograph in the field, and can be confidently recommended to students....An excellent read. --Notre Dame Journal of Formal Logic All the text is very didactic and pleasant to read. . .every chapter presents a specific historical account and a discussion about the main objectives of the many-valued systems studied. --Mathematical Reviews


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