A much-needed monograph on the metamathematics of first-order arithmetic, paying particular attention to fragments of Peano arithmetic. Series: Perspectives in Logic. Num Pages: 474 pages, 2 b/w illus. BIC Classification: PBB; PBC. Category: (U) Tertiary Education (US: College). Dimension: 234 x 156. . . 2017. Hardback. . . . .

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Bibliographic Details

Title: Metamathematics of First-Order Arithmetic
Publisher: Cambridge University Press
Publication Date: 2017
Language: English
ISBN 10: 1107168414
ISBN 13: 9781107168411
Binding: Hardcover
Condition: New

About this title

Synopsis

Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the third publication in the Perspectives in Logic series, is a much-needed monograph on the metamathematics of first-order arithmetic. The authors pay particular attention to subsystems (fragments) of Peano arithmetic and give the reader a deeper understanding of the role of the axiom schema of induction and of the phenomenon of incompleteness. The reader is only assumed to know the basics of mathematical logic, which are reviewed in the preliminaries. Part I develops parts of mathematics and logic in various fragments. Part II is devoted to incompleteness. Finally, Part III studies systems that have the induction schema restricted to bounded formulas (bounded arithmetic).

About the Authors

Petr H�jek works in the Institute of Computer Science at the Academy of Sciences of the Czech Republic, Prague.

Pavel Pudl�k works in the Mathematical Institute at the Academy of Sciences of the Czech Republic, Prague.

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