Truth and Falsehood

An Inquiry into Generalized Logical Values de

,

Éditeur :

Springer


Collection :

Trends in Logic

Paru le : 2011-09-15

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Description
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.
Pages
250 pages
Collection
Trends in Logic
Parution
2011-09-15
Marque
Springer
EAN papier
9789400709065
EAN EPUB
9789400709072

Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
25
Taille du fichier
4956 Ko
Prix
95,39 €