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Metamathematics of First-Order Arithmetic

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Title: Metamathematics of First-Order Arithmetic
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).
Authors: Petr Hájek, Pavel Pudlák
Resource Type: eBook.
Subjects: Arithmetic--Foundations
Categories: MATHEMATICS / Logic
Database: eBook Collection (EBSCOhost)
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  Data: Metamathematics of First-Order Arithmetic
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  Data: 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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  Data: <searchLink fieldCode="AR" term="%22Petr+Hájek%22">Petr Hájek</searchLink><br /><searchLink fieldCode="AR" term="%22Pavel+Pudlák%22">Pavel Pudlák</searchLink>
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      – Code: 513.01
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Arithmetic--Foundations
        Type: general
    Titles:
      – TitleFull: Metamathematics of First-Order Arithmetic
        Type: main
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      – PersonEntity:
          Name:
            NameFull: Petr Hájek
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          Name:
            NameFull: Pavel Pudlák
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          Name:
            NameFull: Petr Hájek
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          Name:
            NameFull: Pavel Pudlák
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2016
            – D: 19
              M: 04
              Type: profile
              Y: 2017
          Identifiers:
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              Value: 9781107168411
            – Type: isbn-electronic
              Value: 9781316754894
          Titles:
            – TitleFull: Metamathematics of First-Order Arithmetic
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