LEADER 03439nam 22007092 450 001 9910829176203321 005 20160526112740.0 010 $a1-107-12857-9 010 $a1-280-41777-3 010 $a9786610417773 010 $a1-139-14854-0 010 $a0-511-18061-6 010 $a0-511-06659-7 010 $a0-511-06028-9 010 $a0-511-30271-1 010 $a0-511-61556-6 010 $a0-511-06872-7 035 $a(CKB)1000000000017965 035 $a(EBL)218144 035 $a(OCoLC)808036212 035 $a(SSID)ssj0000190854 035 $a(PQKBManifestationID)11172047 035 $a(PQKBTitleCode)TC0000190854 035 $a(PQKBWorkID)10183664 035 $a(PQKB)10432466 035 $a(UkCbUP)CR9780511615566 035 $a(MiAaPQ)EBC218144 035 $a(Au-PeEL)EBL218144 035 $a(CaPaEBR)ebr10070006 035 $a(CaONFJC)MIL41777 035 $a(PPN)26131100X 035 $a(EXLCZ)991000000000017965 100 $a20090914d2003|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aLectures in logic and set theory$hVolume 2$iSet theory /$fGeorge Tourlakis$b[electronic resource] 210 1$aCambridge :$cCambridge University Press,$d2003. 215 $a1 online resource (xv, 575 pages) $cdigital, PDF file(s) 225 1 $aCambridge studies in advanced mathematics ;$v83 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a0-521-16848-1 311 $a0-521-75374-0 320 $aIncludes bibliographical references and indexes. 327 $aCover; Half-title; Series-title; Title; Copyright; Dedication; Contents; Preface; I A Bit of Logic: A User's Toolbox; II The Set-Theoretic Universe, Nai?vely; III The Axioms of Set Theory; IV The Axiom of Choice; V The Natural Numbers; Transitive Closure; VI Order; VII Cardinality; VIII Forcing; Bibliography; List of Symbols; Index 330 $aThis two-volume work bridges the gap between introductory expositions of logic or set theory on one hand, and the research literature on the other. It can be used as a text in an advanced undergraduate or beginning graduate course in mathematics, computer science, or philosophy. The volumes are written in a user-friendly conversational lecture style that makes them equally effective for self-study or class use. Volume II, on formal (ZFC) set theory, incorporates a self-contained 'chapter 0' on proof techniques so that it is based on formal logic, in the style of Bourbaki. The emphasis on basic techniques will provide the reader with a solid foundation in set theory and provides a context for the presentation of advanced topics such as absoluteness, relative consistency results, two expositions of Godel's constructible universe, numerous ways of viewing recursion, and a chapter on Cohen forcing. 410 0$aCambridge studies in advanced mathematics ;$v83. 517 3 $aLectures in Logic & Set Theory 606 $aLogic, Symbolic and mathematical 606 $aSet theory 615 0$aLogic, Symbolic and mathematical. 615 0$aSet theory. 676 $a511.3 700 $aTourlakis$b George J.$0149747 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910829176203321 996 $aLectures in logic and set theory$9473229 997 $aUNINA