02559nam 2200625 a 450 991082375120332120240313234624.03-11-032368-010.1515/9783110323689(CKB)2550000001097145(EBL)1215577(OCoLC)851972124(SSID)ssj0000801514(PQKBManifestationID)11457075(PQKBTitleCode)TC0000801514(PQKBWorkID)10794344(PQKB)11504685(MiAaPQ)EBC1215577(DE-B1597)211121(OCoLC)865118988(DE-B1597)9783110323689(Au-PeEL)EBL1215577(CaPaEBR)ebr10728857(CaONFJC)MIL503679(EXLCZ)99255000000109714520130709d2008 uy 0engur|n|---|||||txtccrPhilosophy of mathematics set theory, measuring theories, and nominalism /Gerhard Preyer, Georg Peter (eds.)1st ed.Frankfurt Ontos Verlag20081 online resource (184 p.)Logos : Studien zur Logik, Sprachphilosophie und Metaphysik ;Bd. 13Description based upon print version of record.3-11-032309-5 1-299-72428-0 Includes bibliographical references.pt. 1. Set theory, inconsistency, and measuring theorie -- pt. 2. The challenge of nominalism -- pt. 3. Historical background.One 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.LogosMathematicsPhilosophyMathematicsPhilosophy.510Preyer Gerhard527341Peter Georg1682299MiAaPQMiAaPQMiAaPQBOOK9910823751203321Philosophy of mathematics4089361UNINA