Ordinal Analysis with an Introduction to P...

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Sprache: Englisch

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Beschreibung

This book provides readers with a guide to both ordinal analysis, and to proof theory. It mainly focuses on ordinal analysis, a research topic in proof theory that is concerned with the ordinal theoretic content of formal theories. However, the book also addresses ordinal analysis and basic materials in proof theory of first-order or omega logic, presenting some new results and new proofs of known ones.

Primarily intended for graduate students and researchers in mathematics, especially in mathematical logic, the book also includes numerous exercises and answers for selected exercises, designed to help readers grasp and apply the main results and techniques discussed.

Über den Autor

Toshiyasu Arai received a PhD from Tsukuba University. His thesis was on an extension of G. Takeuti's consistency proofs.

He got positions in Nagoya University, Hiroshima University, Kobe University, Chiba University, and University of Tokyo. His research interest is in proof theory. He received the MSJ Autumn Prize from the Mathematical Society of Japan in 2004 for the research on the Hilbert's second problem.

Zusammenfassung

Covers ordinal analysis at an advanced level, and proof theory at an elementary level

Approaches ordinal analysis in a contemporary fashion

Includes a wealth of exercises and answers, making it suitable for student use

Inhaltsverzeichnis

Introduction.- Calculi for classical logic.- Cut-elimination in depth.- Epsilon numbers.- Iterations.- Collapsings.

Details

Erscheinungsjahr:	2021
Fachbereich:	Allgemeines
Genre:	Importe , Philosophie
Jahrhundert:	Antike
Rubrik:	Geisteswissenschaften
Thema:	Lexika
Medium:	Taschenbuch
Reihe:	Logic in Asia: Studia Logica Library
Inhalt:	xvi 313 S. 20 s/w Illustr. 313 p. 20 illus.
ISBN-13:	9789811564611
ISBN-10:	9811564612
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Arai, Toshiyasu
Hersteller:	Springer Springer Singapore Logic in Asia: Studia Logica Library
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 19 mm
Von/Mit:	Toshiyasu Arai
Erscheinungsdatum:	13.08.2021
Gewicht:	0,505 kg