Theory of Graded Consequence: A General Framework for Logics of Uncertainty (Logic in Asia: Studia Logica Library) - Hardcover

Book 4 of 9: Logic in Asia: Studia Logica Library

Chakraborty, Mihir Kumar; Dutta, Soma

 
9789811388941: Theory of Graded Consequence: A General Framework for Logics of Uncertainty (Logic in Asia: Studia Logica Library)

Synopsis

This book introduces the theory of graded consequence (GCT) and its mathematical formulation. It also compares the notion of graded consequence with other notions of consequence in fuzzy logics, and discusses possible applications of the theory in approximate reasoning and decision-support systems. One of the main points where this book emphasizes on is that GCT maintains the distinction between the three different levels of languages of a logic, namely object language, metalanguage and metametalanguage, and thus avoids the problem of violation of the principle of use and mention; it also shows, gathering evidences from existing fuzzy logics, that the problem of category mistake may arise as a result of not maintaining distinction between levels.

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From the Back Cover

This book introduces the theory of graded consequence (GCT) and its mathematical formulation. It also compares the notion of graded consequence with other notions of consequence in fuzzy logics, and discusses possible applications of the theory in approximate reasoning and decision-support systems. One of the main points where this book emphasizes on is that GCT maintains the distinction between the three different levels of languages of a logic, namely object language, metalanguage and metametalanguage, and thus avoids the problem of violation of the principle of use and mention; it also shows, gathering evidences from existing fuzzy logics, that the problem of category mistake may arise as a result of not maintaining distinction between levels.

"About this title" may belong to another edition of this title.

Other Popular Editions of the Same Title

9789811389870: Theory of Graded Consequence: A General Framework for Logics of Uncertainty (Logic in Asia: Studia Logica Library)

Featured Edition

ISBN 10:  981138987X ISBN 13:  9789811389870
Publisher: Springer, 2020
Softcover