LEADER 04199nam 22007212 450 001 9910781970703321 005 20151005020622.0 010 $a1-107-22784-4 010 $a1-283-31675-7 010 $a1-139-13946-0 010 $a9786613316752 010 $a1-139-14524-X 010 $a1-139-14104-X 010 $a1-139-13791-3 010 $a0-511-91061-4 010 $a1-139-14192-9 035 $a(CKB)2550000000057771 035 $a(EBL)803003 035 $a(OCoLC)763157933 035 $a(SSID)ssj0000555482 035 $a(PQKBManifestationID)11353188 035 $a(PQKBTitleCode)TC0000555482 035 $a(PQKBWorkID)10520287 035 $a(PQKB)10629770 035 $a(UkCbUP)CR9780511910616 035 $a(Au-PeEL)EBL803003 035 $a(CaPaEBR)ebr10506186 035 $a(CaONFJC)MIL331675 035 $a(MiAaPQ)EBC803003 035 $a(PPN)261340328 035 $a(EXLCZ)992550000000057771 100 $a20100824d2011|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aSet theory, arithmetic, and foundations of mathematics $etheorems, philosophies /$fedited by Juliette Kennedy, Roman Kossak$b[electronic resource] 210 1$aCambridge :$cCambridge University Press,$d2011. 215 $a1 online resource (xiii, 227 pages) $cdigital, PDF file(s) 225 1 $aLecture notes in logic ;$v36 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a1-107-00804-2 327 $tHistorical remarks on Suslin's problem /$rAkihiro Kanamori --$tThe continuum hypothesis, the generic-multiverse of sets, and the [OMEGA] conjecture /$rW. Hugh Woodin --$t[omega]-Models of finite set theory /$rAli Enayat and James H. Schmerl and Albert Visser --$tTennenbaum's theorem for models of arithmetic /$rRichard Kaye --$tHierarchies of subsystems of weak arithmetic /$rShahram Mohsenipour --$tDiophantine correct open induction /$rSidney Raffer --$tTennenbaum's theorem and recursive reducts /$rJames H. Schmerl --$tHistory of constructivism in the 20th century /$rA.S. Troelstra --$tA very short history of ultrafinitism /$rRose M. Cherubin and Mirco A. Mannucci --$tSue Toledo's notes of her conversations with Go?del in 1972-1975 /$rSue Toledo --$tStanley Tennenbaum's Socrates /$rCurtis Franks --$t. Tennenbaum's proof of the irrationality of [the square root of] 2? /$rJouko Va?a?na?nen. 330 $aThis collection of papers from various areas of mathematical logic showcases the remarkable breadth and richness of the field. Leading authors reveal how contemporary technical results touch upon foundational questions about the nature of mathematics. Highlights of the volume include: a history of Tennenbaum's theorem in arithmetic; a number of papers on Tennenbaum phenomena in weak arithmetics as well as on other aspects of arithmetics, such as interpretability; the transcript of Go?del's previously unpublished 1972-1975 conversations with Sue Toledo, along with an appreciation of the same by Curtis Franks; Hugh Woodin's paper arguing against the generic multiverse view; Anne Troelstra's history of intuitionism through 1991; and Aki Kanamori's history of the Suslin problem in set theory. The book provides a historical and philosophical treatment of particular theorems in arithmetic and set theory, and is ideal for researchers and graduate students in mathematical logic and philosophy of mathematics. 410 0$aLecture notes in logic ;$v36. 517 3 $aSet Theory, Arithmetic, & Foundations of Mathematics 606 $aSet theory 606 $aLogic, Symbolic and mathematical 606 $aMathematics$xPhilosophy 615 0$aSet theory. 615 0$aLogic, Symbolic and mathematical. 615 0$aMathematics$xPhilosophy. 676 $a510 686 $aMAT018000$2bisacsh 702 $aKennedy$b Juliette$f1955- 702 $aKossak$b Roman$f1953- 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910781970703321 996 $aSet theory, arithmetic, and foundations of mathematics$93719818 997 $aUNINA