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Universal algebraic logic = dedicate...

Andreka, H.

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Universal algebraic logic = dedicated to the unity of science /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Universal algebraic logic/ by Hajnal Andreka ... [et al.].
其他題名:	dedicated to the unity of science /
其他作者:	Andreka, H.
出版者:	Cham :Springer International Publishing : : 2022.,
面頁冊數:	xv, 327 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Algebraic logic. -
電子資源:	https://doi.org/10.1007/978-3-031-14887-3
ISBN:	9783031148873

Universal algebraic logic = dedicated to the unity of science /
Universal algebraic logicdedicated to the unity of science /[electronic resource] :by Hajnal Andreka ... [et al.]. - Cham :Springer International Publishing :2022. - xv, 327 p. :ill., digital ;24 cm. - Studies in universal logic,2297-0290. - Studies in universal logic..

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 being a 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 philosophy. For instance, the first two chapters can be used in their own right as a crash course in Universal Algebra.

ISBN: 9783031148873

Standard No.: 10.1007/978-3-031-14887-3doiSubjects--Topical Terms:

794607
Algebraic logic.

LC Class. No.: QA10

Dewey Class. No.: 511.324

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