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Truth and Falsehood

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Truth and Falsehood

An Inquiry into Generalized Logical Values

Yaroslav Shramko, Heinrich Wansing

Springer
Collection: Trends in Logic
Publication date : 2011-09-15

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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.

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About the book

Author

Yaroslav Shramko , Heinrich Wansing

Imprint

Springer

Collection

Trends in Logic

Publication date

2011-09-15

Pages

250 pages

Print ISBN

9789400709065

Language

English

Ebook informations

EAN EPUB

9789400709072

Price

£89.50

Copy count 2

Print count 25

File size 4956 Ko

Informations accessibility

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About author(s)

Yaroslav Shramko

Heinrich Wansing

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