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Philosophy - Logic & Philosophy of Language | Metamathematics of Fuzzy Logic

Metamathematics of Fuzzy Logic

Series: Trends in Logic, Vol. 4

Hájek, Petr

1998, VIII, 299 p.

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This book presents a systematic treatment of deductive aspects and structures of fuzzy logic understood as many valued logic sui generis. Some important systems of real-valued propositional and predicate calculus are defined and investigated. The aim is to show that fuzzy logic as a logic of imprecise (vague) propositions does have well-developed formal foundations and that most things usually named `fuzzy inference' can be naturally understood as logical deduction.

Content Level » Research

Related subjects » Logic & Philosophy of Language - Mathematics

Table of contents 

Preface. 1. Preliminaries. 2. Many-Valued Propositional Calculi. 3. Lukasiewicz Propositional Logic. 4. Product Logic, Gödel Logic. 5. Many-Valued Predicate Logics. 6. Complexity and Undecidability. 7. On Approximate Inference. 8. Generalized Quantifiers and Modalities. 9. Miscellanea. 10. Historical Remarks. References. Index.

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