ENGLISH

Metamathematics of First-Order Arithmetic

By Petr Hajek , Pavel Pudlak

Book information

Publisher
Cambridge University Press
Year
2017
ISBN
9781107168411, 9781316717271
Language
english
Format
PDF
Filesize
22 MB (23405323 bytes)
Series
Perspectives in Logic, Series Number 3
Pages
474\475
Topic
Mathematics Logic
Time added
2024-10-05 00:08:48

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).

Similar books