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Truth and Falsehood An Inquiry into Generalized Logical Values /

The book presents a thoroughly elaborated logical theory of generalized truth values understood as subsets of some established set of (basic) truth entities. After elucidating the importance of the very notion of a truth value in logic and philosophy, the authors examine some possible ways of genera...

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Détails bibliographiques
Cote:Libro Electrónico
Auteurs principaux: Shramko, Yaroslav (Auteur), Wansing, Heinrich (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:Inglés
Publié: Dordrecht : Springer Netherlands : Imprint: Springer, 2012.
Édition:1st ed. 2012.
Collection:Trends in Logic, Studia Logica Library, 36
Sujets:
Accès en ligne:Texto Completo
Description
Résumé:The book presents a thoroughly elaborated logical theory of generalized truth values understood as subsets of some established set of (basic) truth entities. After elucidating the importance of the very notion of a truth value in logic and philosophy, the authors examine some possible ways of generalizing this notion. The useful four-valued logic of first-degree entailment by Nuel Belnap and Michael Dunn and the notion of a bilattice (a lattice of truth values with two ordering relations) constitute the basis for further generalizations. By doing so the authors elaborate the idea of a multilattice and, most notably, a trilattice of truth values - a specific algebraic structure with an 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 also determines its own entailment relation. Both semantic ans syntactic ways of formalizing these relations by constructing various logical calculi are considered.
Description matérielle:XIV, 250 p. online resource.
ISBN:9789400709072
ISSN:2212-7313 ;