Truth and Falsehood:An Inquiry into Generalized Logical Values

真理与谬误:广义逻辑价值探究

数理逻辑与数学基础

售   价:
1632.00
作      者
出  版 社
出版时间
2011年09月15日
装      帧
精装
ISBN
9789400709065
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页      码
264
语      种
英语
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库存30本
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图书简介
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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