LEADER 03998nam 2200673Ia 450 001 9910817687803321 005 20230721005449.0 010 $a1-282-45835-3 010 $a9786612458354 010 $a1-4008-2904-6 024 7 $a10.1515/9781400829040 035 $a(CKB)2550000000000800 035 $a(EBL)483553 035 $a(OCoLC)592756164 035 $a(SSID)ssj0000341520 035 $a(PQKBManifestationID)11265831 035 $a(PQKBTitleCode)TC0000341520 035 $a(PQKBWorkID)10395941 035 $a(PQKB)10728205 035 $a(MiAaPQ)EBC483553 035 $a(MdBmJHUP)muse36646 035 $a(DE-B1597)446931 035 $a(OCoLC)979632045 035 $a(DE-B1597)9781400829040 035 $a(Au-PeEL)EBL483553 035 $a(CaPaEBR)ebr10359260 035 $a(CaONFJC)MIL245835 035 $a(EXLCZ)992550000000000800 100 $a20071105d2008 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aPlato's ghost$b[electronic resource] $ethe modernist transformation of mathematics /$fJeremy Gray 205 $aCourse Book 210 $aPrinceton, N.J. $cPrinceton University Press$dc2008 215 $a1 online resource (526 p.) 300 $aDescription based upon print version of record. 311 $a0-691-13610-6 320 $aIncludes bibliographical references and index. 327 $t Frontmatter -- $tCONTENTS -- $tINTRODUCTION -- $t1 MODERNISM AND MATHEMATICS -- $t2 BEFORE MODERNISM -- $t3 MATHEMATICAL MODERNISM ARRIVES -- $t4 MODERNISM AVOWED -- $t5 FACES OF MATHEMATICS -- $t6 MATHEMATICS, LANGUAGE, AND PSYCHOLOGY -- $t7 AFTER THE WAR -- $tAppendix: Four Theorems in Projective Geometry -- $tGlossary -- $tBibliography -- $tIndex 330 $aPlato's Ghost is the first book to examine the development of mathematics from 1880 to 1920 as a modernist transformation similar to those in art, literature, and music. Jeremy Gray traces the growth of mathematical modernism from its roots in problem solving and theory to its interactions with physics, philosophy, theology, psychology, and ideas about real and artificial languages. He shows how mathematics was popularized, and explains how mathematical modernism not only gave expression to the work of mathematicians and the professional image they sought to create for themselves, but how modernism also introduced deeper and ultimately unanswerable questions. Plato's Ghost evokes Yeats's lament that any claim to worldly perfection inevitably is proven wrong by the philosopher's ghost; Gray demonstrates how modernist mathematicians believed they had advanced further than anyone before them, only to make more profound mistakes. He tells for the first time the story of these ambitious and brilliant mathematicians, including Richard Dedekind, Henri Lebesgue, Henri Poincaré, and many others. He describes the lively debates surrounding novel objects, definitions, and proofs in mathematics arising from the use of naïve set theory and the revived axiomatic method--debates that spilled over into contemporary arguments in philosophy and the sciences and drove an upsurge of popular writing on mathematics. And he looks at mathematics after World War I, including the foundational crisis and mathematical Platonism. Plato's Ghost is essential reading for mathematicians and historians, and will appeal to anyone interested in the development of modern mathematics. 606 $aMathematics$xHistory$y19th century 606 $aMathematics$xPhilosophy 606 $aAesthetics, Modern$y19th century 615 0$aMathematics$xHistory 615 0$aMathematics$xPhilosophy. 615 0$aAesthetics, Modern 676 $a510.9/034 686 $aSG 500$2rvk 700 $aGray$b Jeremy$f1947-$053883 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910817687803321 996 $aPlato's ghost$94066647 997 $aUNINA