LEADER 02559nam 2200625 a 450 001 9910823751203321 005 20240313234624.0 010 $a3-11-032368-0 024 7 $a10.1515/9783110323689 035 $a(CKB)2550000001097145 035 $a(EBL)1215577 035 $a(OCoLC)851972124 035 $a(SSID)ssj0000801514 035 $a(PQKBManifestationID)11457075 035 $a(PQKBTitleCode)TC0000801514 035 $a(PQKBWorkID)10794344 035 $a(PQKB)11504685 035 $a(MiAaPQ)EBC1215577 035 $a(DE-B1597)211121 035 $a(OCoLC)865118988 035 $a(DE-B1597)9783110323689 035 $a(Au-PeEL)EBL1215577 035 $a(CaPaEBR)ebr10728857 035 $a(CaONFJC)MIL503679 035 $a(EXLCZ)992550000001097145 100 $a20130709d2008 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aPhilosophy of mathematics $eset theory, measuring theories, and nominalism /$fGerhard Preyer, Georg Peter (eds.) 205 $a1st ed. 210 $aFrankfurt $cOntos Verlag$d2008 215 $a1 online resource (184 p.) 225 0 $aLogos : Studien zur Logik, Sprachphilosophie und Metaphysik ;$vBd. 13 300 $aDescription based upon print version of record. 311 $a3-11-032309-5 311 $a1-299-72428-0 320 $aIncludes bibliographical references. 327 $apt. 1. Set theory, inconsistency, and measuring theorie -- pt. 2. The challenge of nominalism -- pt. 3. Historical background. 330 $aOne main interest of philosophy is to become clear about the assumptions, premises and inconsistencies of our thoughts and theories. And even for a formal language like mathematics it is controversial if consistency is achievable or necessary like the articles in the first part of the publication show. Also the role of formal derivations, the role of the concept of apriority, and the intuitions of mathematical principles and properties need to be discussed. The second part is a contribution on nominalistic and platonistic views in mathematics, like the ""indispensability argument"" of W. v. O. 410 0$aLogos 606 $aMathematics$xPhilosophy 615 0$aMathematics$xPhilosophy. 676 $a510 701 $aPreyer$b Gerhard$0527341 701 $aPeter$b Georg$01682299 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910823751203321 996 $aPhilosophy of mathematics$94089361 997 $aUNINA