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Titlebook: Truth and Falsehood; An Inquiry into Gene Yaroslav Shramko,Heinrich Wansing Book 2012 Springer Science+Business Media B.V. 2012 first-degre

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書目名稱Truth and Falsehood
副標(biāo)題An Inquiry into Gene
編輯Yaroslav Shramko,Heinrich Wansing
視頻videohttp://file.papertrans.cn/931/930639/930639.mp4
概述Surveys and unifies various philosophical and formal treatments of truth values.Discusses central issues such as the relation between truth values and consequence relations.Systematically develops bot
叢書名稱Trends in Logic
圖書封面Titlebook: Truth and Falsehood; An Inquiry into Gene Yaroslav Shramko,Heinrich Wansing Book 2012 Springer Science+Business Media B.V. 2012 first-degre
描述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.
出版日期Book 2012
關(guān)鍵詞first-degree entailment; lattice theory; logical semantics; trilattice logics; truth values
版次1
doihttps://doi.org/10.1007/978-94-007-0907-2
isbn_softcover978-94-007-3734-1
isbn_ebook978-94-007-0907-2Series ISSN 1572-6126 Series E-ISSN 2212-7313
issn_series 1572-6126
copyrightSpringer Science+Business Media B.V. 2012
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