Articles liés à Truth and Falsehood: An Inquiry into Generalized Logical...

Truth and Falsehood: An Inquiry into Generalized Logical Values - Couverture souple

Livre 18 sur 53: Trends in Logic

Shramko, Yaroslav; Wansing, Heinrich

 
9789400737341: Truth and Falsehood: An Inquiry into Generalized Logical Values
Couverture souple
ISBN 10 : 9400737343 ISBN 13 : 9789400737341
Editeur : Springer, 2013

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2013
Langue
anglais
ISBN 10 
9400737343
ISBN 13 
9789400737341
Reliure
Broché
Nombre de pages
264
Coordonnées du fabricant
Springer Nature Customer Service Center GmbH
ProductSafety@springernature.com

Europaplatz 3
Heidelberg
69115
Allemagne