000 02127nam a22003498i 4500
001 CR9781316717271
003 UkCbUP
005 20200124160209.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 160216s2016||||enk o ||1 0|eng|d
020 _a9781316717271 (ebook)
020 _z9781107168411 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 4 _aQA248
_b.H23 2016
082 0 4 _a513/.01
_223
100 1 _aHájek, Petr,
_eauthor.
245 1 0 _aMetamathematics of first-order arithmetic /
_cPetr Hájek, Pavel Pudlák.
264 1 _aCambridge :
_bCambridge University Press,
_c2016.
300 _a1 online resource (xiv, 460 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aPerspectives in logic
500 _aTitle from publisher's bibliographic system (viewed on 18 Apr 2017).
520 _aSince 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).
650 0 _aArithmetic
_xFoundations.
700 1 _aPudlák, Pavel,
_d1952-
_eauthor.
776 0 8 _iPrint version:
_z9781107168411
830 0 _aPerspectives in logic.
856 4 0 _uhttps://doi.org/10.1017/9781316717271
999 _c515657
_d515655