| 书目名称 | Universal Algebraic Logic | | 副标题 | Dedicated to the Uni | | 编辑 | Hajnal Andréka,Zalán Gyenis,Ildikó Sain | | 视频video | | | 概述 | Provides a comprehensive introduction to universal algebraic logic.Illustrates applications of algebraic logic with proofs of theorems and cases of study.Can be used in the classroom for three courses | | 丛书名称 | Studies in Universal Logic | | 图书封面 |  | | 描述 | .This book gives a comprehensive introduction to Universal Algebraic Logic. The three main themes are (i) universal logic and the question of what logic is, (ii) duality theories between the world of logics and the world of algebra, and (iii) Tarskian algebraic logic proper including algebras of relations of various ranks, cylindric algebras, relation algebras, polyadic algebras and other kinds of algebras of logic. One of the strengths of our approach is that it is directly applicable to a wide range of logics including not only propositional logics but also e.g. classical first order logic and other quantifier logics. Following the Tarskian tradition, besides the connections between logic and algebra, related logical connections with geometry and eventually spacetime geometry leading up to relativity are also part of the perspective of the book. Besides Tarskian algebraizations of logics, category theoretical perspectives are also touched upon. . . This book, apart from beinga monograph containing state of the art results in algebraic logic, can be used as the basis for a number of different courses intended for both novices and more experienced students of logic, mathematics, or | | 出版日期 | Book 2022 | | 关键词 | Logic; Universal ALgebra; Tarskian Algebraic Logic; Abstract Algebraic Logic; Institutions; Abstract Mode | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-14887-3 | | isbn_softcover | 978-3-031-14889-7 | | isbn_ebook | 978-3-031-14887-3Series ISSN 2297-0282 Series E-ISSN 2297-0290 | | issn_series | 2297-0282 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 19:43:25
