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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Grundlagen Universal Algebraic Logic
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Universal Algebraic Logic
Hajnal Andréka, Zalán Gyenis, István Németi, Ildikó Sain (Broschiert, Englisch)
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Beschreibung
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. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
03.11.2023
Sprache
Englisch
EAN
9783031148897
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Studies in Universal Logic
Sonderedition
Nein
Autor
Hajnal Andréka, Zalán Gyenis, István Németi, Ildikó Sain
Seitenanzahl
327
Einbandart
Broschiert
Buch Untertitel
Dedicated to the Unity of Science
Schlagwörter
Logic, Universal ALgebra, Tarskian Algebraic Logic, Abstract Algebraic Logic, Institutions, Abstract Model Theory, Duality Theories, Category-Theoretic Properties of Classes of Algebras, Surjectivity of Epimorphisms, Amalgamation, Interpolation, Definability Theory, Relation Algebra, Cylindric Algebra, Substitution Properties, First Order Logic, Sentential Logics, Weak Beth Definability Property, Finite Variable Fragment of First Order Logic, First Order Logic With Nonstandard Semantics
Thema-Inhalt
PBCD - Mathematik: Logik
PBC - Mathematische Grundlagen
PBF - Algebra
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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