Truth and Falsehood

Name: Truth and Falsehood
SKU: 10063574
Price: 262.99 AUD
Availability: InStock

An Inquiry into Generalized Logical Values

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Format:

Hardback

Series:

Trends in Logic

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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.

Release date Australia

September 15th, 2011

Author

Audience

Professional & Vocational

Illustrations

XIV, 250 p.

Pages

250

Series

Trends in Logic

Dimensions

156x234x15

ISBN-13

9789400709065

Product ID

10063574

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