LEADER 03518nam 2200697 450 001 9910788811203321 005 20230803200452.0 010 $a1-61451-847-5 010 $a1-61451-996-X 024 7 $a10.1515/9781614518471 035 $a(CKB)3360000000515438 035 $a(EBL)1685365 035 $a(SSID)ssj0001401999 035 $a(PQKBManifestationID)11798708 035 $a(PQKBTitleCode)TC0001401999 035 $a(PQKBWorkID)11356395 035 $a(PQKB)11557012 035 $a(MiAaPQ)EBC1685365 035 $a(DE-B1597)428837 035 $a(OCoLC)1048404446 035 $a(OCoLC)896867316 035 $a(OCoLC)951149588 035 $a(DE-B1597)9781614518471 035 $a(Au-PeEL)EBL1685365 035 $a(CaPaEBR)ebr11006110 035 $a(CaONFJC)MIL807367 035 $a(EXLCZ)993360000000515438 100 $a20140713h20142014 uy| 0 101 0 $aeng 135 $aur||#|||||||| 181 $ctxt 182 $cc 183 $acr 200 00$aFormalism and beyond $eon the nature of mathematical discourse /$fedited by Godehard Link 210 1$aBoston :$cDe Gruyter,$d[2014] 210 4$d©2014 215 $a1 online resource (430 p.) 225 0 $aLogos : Studien zur Logik, Sprachphilosophie und Metaphysik,$x2198-2201 ;$vvolume 23 300 $aDescription based upon print version of record. 311 $a1-61451-848-3 311 $a1-61451-829-7 320 $aIncludes bibliographical references and index. 327 $tFront matter --$tContents --$tPreface --$tDuality, Epistemic Efficiency & Consistency /$rDetlefsen, Michael --$tFrege on Quantities and Real Numbers in Consideration of the Theories of Cantor, Russell and Others /$rSchirn, Matthias --$tFrege on Formality and the 1906 Independence-Test /$rBlanchette, Patricia A. --$tFormal Discourse in Russell: From Metaphysics to Philosophical Logic /$rLink, Godehard --$tOn Live and Dead Signs in Mathematics /$rMühlhölzer, Felix --$tGeneralization and the Impossible: Issues in the search for generalized mathematics around 1900 /$rZiche, Paul --$tAssumptions of Infinity /$rNiebergall, Karl-Georg --$tThe Interpretation of Classes in Axiomatic Set Theory /$rRoth, Daniel / Schneider, Gregor --$tPurity in Arithmetic: some Formal and Informal Issues /$rArana, Andrew --$tDomain Extensions and Higher-Order Syntactical Interpretations /$rPola?ski, Marek --$tFinite Methods in Mathematical Practice /$rCrosilla, Laura / Schuster, Peter --$tList of Contributors --$tName Index 330 $aThe essays collected in this volume focus on the role of formalist aspects in mathematical theorizing and practice, examining issues such as infinity, finiteness, and proof procedures, as well as central historical figures in the field, including Frege, Russell, Hilbert and Wittgenstein. Using modern logico-philosophical tools and systematic conceptual and logical analyses, the volume provides a thorough, up-to-date account of the subject. 410 0$aLogos 606 $aMathematics$xPhilosophy 606 $aLogic, Symbolic and mathematical 610 $aPhilosophy of mathematics. 610 $ahistory of mathematics. 610 $amathematics. 615 0$aMathematics$xPhilosophy. 615 0$aLogic, Symbolic and mathematical. 676 $a510.1 702 $aLink$b Godehard 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788811203321 996 $aFormalism and beyond$93787117 997 $aUNINA