Universal Algebraic Logic: Dedicated to the Unity of Science (Studies in Universal Logic) - Softcover

Andréka, Hajnal; Gyenis, Zalán; Németi, István; Sain, Ildikó

 
9783031148897: Universal Algebraic Logic: Dedicated to the Unity of Science (Studies in Universal Logic)
Softcover
ISBN 10: 3031148894 ISBN 13: 9783031148897
Verlag: Birkhäuser, 2023

Inhaltsangabe

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

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Über die Autorin bzw. den Autor

Steven Givant is a Professor of Mathematics and Computer Science at Mills College, California. As a long-term collaborator of Alfred Tarski-one of the great logicians-Givant has been involved first-hand in the development of the field of relation algebras since the 1970s. His other books include Introduction to Relation Algebras and Advanced Topics in Relation Algebras (Springer, 2017), Duality Theories for Boolean Algebras with Operators (Springer, 2014), Introduction to Boolean Algebras, with Paul Halmos (Springer, 2009), Logic as Algebra, with Paul Halmos (MAA, 1998), and A Formalization of Set Theory without Variables, with Alfred Tarski (AMS, 1987). He was also a coeditor, with Ralph McKenzie, of the collected papers of Alfred Tarski (Birkhäuser, 1986). Hajnal Andréka is a Professor of Mathematics at the Alfréd Rényi Institute of Mathematics in the Hungarian Academy of Sciences. She has been a prominentfigure in the development of relation algebra theory since the 1970s and won the prestigious Alfréd Rényi Prize in 1987. Her other books include Universal Algebraic Logic, with István Németi and Ildikó Sain (Birkhäuser, 2017), Decision Problems for Equational Theories of Relation Algebras, with Steven Givant and István Németi (AMS, 1997), and Cylindric Set Algebras, with Leon Henkin, J. Donald Monk, Alfred Tarski, and István Németi (Springer, 1981).

Von der hinteren Coverseite

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

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Birkhäuser
Erscheinungsdatum
2023
Sprache
Englisch
ISBN 10 
3031148894
ISBN 13 
9783031148897
Einband
Taschenbuch
Auflage
1
Anzahl der Seiten
344
Kontakt zum Hersteller
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Europaplatz 3
Heidelberg
69115
Deutschland

Weitere beliebte Ausgaben desselben Titels

9783764385057: Universal Algebraic Logic: Dedicated to the Unity of Science (Studies in Universal Logic)

Vorgestellte Ausgabe

ISBN 10:  3764385057 ISBN 13:  9783764385057
Verlag: Birkhäuser, 2021
Softcover