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Item Details
Title: TRUTH AND FALSEHOOD
AN INQUIRY INTO GENERALIZED LOGICAL VALUES
By: Yaroslav Shramko, Heinrich Wansing
Format: Hardback

List price: £109.99


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ISBN 10: 9400709064
ISBN 13: 9789400709065
Publisher: SPRINGER
Pub. date: 15 September, 2011
Edition: 2011
Series: Trends in Logic 36
Pages: 250
Description: Here is a thoroughly elaborated logical theory of generalized truth-values, presenting the idea of a trilattice of truth values - a specific algebraic structure with information ordering and two distinct logical orderings, one for truth and another for falsity.
Synopsis: The book presents a thoroughly elaborated logical theory of generalized truth-values understood as subsets of some established set of (basic) truth values. After elucidating the importance of the very notion of a truth value in logic and philosophy, we examine some possible ways of generalizing this notion. The useful four-valued logic of first-degree entailment by Nuel Belnap and the notion of a bilattice (a lattice of truth values with two ordering relations) constitute the basis for further generalizations. By doing so we elaborate the idea of a multilattice, and most notably, a trilattice of truth values - a specific algebraic structure with information ordering and two distinct logical orderings, one for truth and another for falsity. Each logical order not only induces its own logical vocabulary, but determines also its own entailment relation. We consider both semantic and syntactic ways of formalizing these relations and construct various logical calculi.
Illustrations: 10 Tables, black and white; XIV, 250 p.
Publication: Netherlands
Imprint: Springer
Returns: Returnable
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