Metamathematics of First-Order Arithmetic

Released on by Petr Hájek
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  • Metamathematics of First-Order Arithmetic Book Detail

  • Author : Petr Hájek
  • Release Date : 2017-03-02
  • Publisher : Cambridge University Press
  • Genre : Mathematics
  • Pages : 476
  • ISBN 13 : 1316739457
  • File Size : 21,21 MB
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Metamathematics of First-Order Arithmetic by Petr Hájek PDF Summary

Book Description: 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).

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Metamathematics of First-Order Arithmetic

Metamathematics of First-Order Arithmetic

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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

Metamathematics of First-Order Arithmetic

Metamathematics of First-Order Arithmetic

File Size : 48,48 MB
Total View : 3549 Views
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People have always been interested in numbers, in particular the natural numbers. Of course, we all have an intuitive notion of what these numbers are. In the l