TY - BOOK ID - 110670696 TI - Metamathematics of first-order arithmetic AU - Hajek, Petr AU - Pudlák, Pavel PY - 2016 SN - 1316731731 1316745244 1316747174 1316754898 1316717275 131674910X 9781316754894 PB - Cambridge, United Kingdom DB - UniCat KW - Arithmetic KW - Foundations. KW - Foundations of arithmetic KW - Mathematics KW - Philosophy UR - https://www.unicat.be/uniCat?func=search&query=sysid:110670696 AB - 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). ER -