LEADER 03091nam 22005055 450 001 9910300120003321 005 20200707003422.0 010 $a3-319-62935-2 024 7 $a10.1007/978-3-319-62935-3 035 $a(CKB)4100000001794741 035 $a(DE-He213)978-3-319-62935-3 035 $a(MiAaPQ)EBC5255556 035 $a(PPN)223957593 035 $a(EXLCZ)994100000001794741 100 $a20180130d2018 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aThe Hyperuniverse Project and Maximality /$fedited by Carolin Antos, Sy-David Friedman, Radek Honzik, Claudio Ternullo 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2018. 215 $a1 online resource (XI, 265 p. 11 illus.) 311 $a3-319-62934-4 320 $aIncludes bibliographical references at the end of each chapters. 327 $aClass forcing in Class Theory -- Hyperclass Forcing in Morse-Kelley Class Theory -- Multiverse conceptions in set theory -- Evidence for set-theoretic truth and the Hyperuniverse Programme -- On the set-generic multiverse -- Mathematical Logic Quarterly -- Definability of satisfaction in outer models -- The search for new axioms in the Hyperuniverse Programme, in Philosophy of Mathematics: objectivity, cognition and proof -- Explaining maximality through the Hyperuniverse Programme. 330 $aThis collection documents the work of the Hyperuniverse Project which is a new approach to set-theoretic truth based on justifiable principles and which leads to the resolution of many questions independent from ZFC. The contributions give an overview of the program, illustrate its mathematical content and implications, and also discuss its philosophical assumptions. It will thus be of wide appeal among mathematicians and philosophers with an interest in the foundations of set theory. The Hyperuniverse Project was supported by the John Templeton Foundation from January 2013 until September 2015. 606 $aLogic, Symbolic and mathematical 606 $aMathematics?Philosophy 606 $aMathematical Logic and Foundations$3https://scigraph.springernature.com/ontologies/product-market-codes/M24005 606 $aPhilosophy of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/E34020 615 0$aLogic, Symbolic and mathematical. 615 0$aMathematics?Philosophy. 615 14$aMathematical Logic and Foundations. 615 24$aPhilosophy of Mathematics. 676 $a511.3 702 $aAntos$b Carolin$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aFriedman$b Sy-David$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aHonzik$b Radek$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aTernullo$b Claudio$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a9910300120003321 996 $aHyperuniverse Project and Maximality$91563800 997 $aUNINA