书目名称 | Truth and Falsehood |
副标题 | An Inquiry into Gene |
编辑 | Yaroslav Shramko,Heinrich Wansing |
视频video | http://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 |
丛书名称 | Trends in Logic |
图书封面 |  |
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 |
关键词 | first-degree entailment; lattice theory; logical semantics; trilattice logics; truth values |
版次 | 1 |
doi | https://doi.org/10.1007/978-94-007-0907-2 |
isbn_softcover | 978-94-007-3734-1 |
isbn_ebook | 978-94-007-0907-2Series ISSN 1572-6126 Series E-ISSN 2212-7313 |
issn_series | 1572-6126 |
copyright | Springer Science+Business Media B.V. 2012 |