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Truth and Falsehood

Truth and Falsehood

An Inquiry into Generalized Logical Values

by Heinrich Wansing and Yaroslav Shramko
Paperback
Publication Date: 27/11/2013
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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.
ISBN:
9789400737341
9789400737341
Category:
Philosophy: logic
Format:
Paperback
Publication Date:
27-11-2013
Publisher:
Springer
Country of origin:
Netherlands
Pages:
250
Dimensions (mm):
235x155x14mm
Weight:
0.41kg

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