Many-Valued Logics
Series: Oxford Logic Guides; 25;
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Product details:
- Publisher Clarendon Press
- Date of Publication 16 December 1993
- ISBN 9780198537878
- Binding Hardback
- No. of pages138 pages
- Size 242x158x13 mm
- Weight 347 g
- Language English 0
Categories
Short description:
Many-valued Logics attempts an elementary exposition of the topics connected with logical many-valuedness. It will provide readers with a stimulating discussion which focuses on the constructions being "many-valued" at their origin, i.e. those obtained through intended introduction of logical values next to truth and falsity. A selective bibliography and historical references make the work especially useful as a survey and guide in this field of logic.
MoreLong description:
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 Together with a selective bibliography and historical references it makes the work especially useful as a survey and guide in this field of logic.
informative ... The author provides an efficient survey of the large and rather diffuse literature on many-valued logics ... 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.
Table of Contents:
Introduction
The classical logic
The third logical value of Lukasiewicz
Logic algebras and matrices
Many-valuedness
Lukasiewicz logics
Post logics
Three-valuedness of Kleene and Bochvar
Standard properties of many-valued constructions
Probability and many-valuedness
Classical characterization of many-valued logics
Quantifiers in many-valued logic
Intuitionism and the modal logics of Lewis
Fuzzy sets and Zadeh logic
Applications and significance of the topic
Bibliography
Author index
Subject index