Yaroslav Shramko

(Author)

Truth and Falsehood: An Inquiry Into Generalized Logical Values (2012)Hardcover - 2012, 15 September 2011

Truth and Falsehood: An Inquiry Into Generalized Logical Values (2012)
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Part of Series
Trends in Logic
Part of Series
Trends in Logic Trends in Logic
Print Length
250 pages
Language
English
Publisher
Springer
Date Published
15 Sep 2011
ISBN-10
9400709064
ISBN-13
9789400709065

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.

Product Details

Authors:
Yaroslav ShramkoHeinrich Wansing
Book Edition:
2012
Book Format:
Hardcover
Country of Origin:
NL
Date Published:
15 September 2011
Dimensions:
23.39 x 15.6 x 1.6 cm
ISBN-10:
9400709064
ISBN-13:
9789400709065
Language:
English
Location:
Dordrecht
Pages:
250
Publisher:
Weight:
544.31 gm

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