Proof Theory (Dover books on Mathematics) - Softcover

Takeuti, Gaisi

 
9780486490731: Proof Theory (Dover books on Mathematics)
Softcover
ISBN 10: 0486490734 ISBN 13: 9780486490731
Verlag: Dover Publications Inc., 2013

Inhaltsangabe

Focusing on Gentzen-type proof theory, this volume presents a detailed overview of creative works by author Gaisi Takeuti and other twentieth-century logicians. The text explores applications of proof theory to logic as well as other areas of mathematics. Suitable for advanced undergraduates and graduate students of mathematics, this long-out-of-print monograph forms a cornerstone for any library in mathematical logic and related topics.
The three-part treatment begins with an exploration of first order systems, including a treatment of predicate calculus involving Gentzen's cut-elimination theorem and the theory of natural numbers in terms of Gödel's incompleteness theorem and Gentzen's consistency proof. The second part, which considers second order and finite order systems, covers simple type theory and infinitary logic. The final chapters address consistency problems with an examination of consistency proofs and their applications.

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Über die Autorin bzw. den Autor

Gaisi Takeuti is Professor Emeritus of Mathematics at the University of Illinois at Urbana-Champaign.

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Verlag
Dover Publications Inc.
Erscheinungsdatum
2013
Sprache
Englisch
ISBN 10 
0486490734
ISBN 13 
9780486490731
Einband
Taschenbuch
Auflage
2
Anzahl der Seiten
490
Kontakt zum Hersteller
Dover
info@galileo-mc.de

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F�rstenfeldbruck
82256
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