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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