Titel: Metamathematics of First-Order Arithmetic (Perspectives in Logic, Series Number 3)
Verlag: Cambridge University Press
Erscheinungsjahr: 2017
Sprache: Englisch
ISBN-10: 1107168414
ISBN-13: 9781107168411
Einband: Hardcover
Zustand: New

�ber diesen Titel

Inhaltsangabe

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).

�ber die Autorinnen und Autoren

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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