Metamathematics of First-Order Arithmetic
eBook - PDF

Metamathematics of First-Order Arithmetic

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Metamathematics of First-Order Arithmetic

About this book

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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Yes, you can access Metamathematics of First-Order Arithmetic by Petr Hájek,Pavel Pudlák in PDF and/or ePUB format, as well as other popular books in Mathematics & Logic in Mathematics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half-title
  3. Series information
  4. Title page
  5. Copyright information
  6. Dedication
  7. Preface to the Series Perspectives in Mathematical Logic
  8. Authors' Preface
  9. Table of Contents
  10. Introduction
  11. Preliminaries
  12. Part A Positive Results on Fragments of Arithmetic
  13. Part B Incompleteness
  14. Part C Bounded Arithmetic
  15. Bibliographical Remarks and Further Reading
  16. Bibliography
  17. Index of Terms
  18. Index of Symbols