LEADER 04271nam 2200613 450 001 9910463954403321 005 20211207024807.0 010 $a0-674-41950-2 010 $a0-674-41949-9 024 7 $a10.4159/harvard.9780674419490 035 $a(CKB)2670000000543822 035 $a(EBL)3301396 035 $a(SSID)ssj0001134506 035 $a(PQKBManifestationID)11756762 035 $a(PQKBTitleCode)TC0001134506 035 $a(PQKBWorkID)11162200 035 $a(PQKB)11104877 035 $a(MiAaPQ)EBC3301396 035 $a(DE-B1597)427278 035 $a(OCoLC)871257317 035 $a(OCoLC)979777810 035 $a(DE-B1597)9780674419490 035 $a(Au-PeEL)EBL3301396 035 $a(CaPaEBR)ebr10841960 035 $a(EXLCZ)992670000000543822 100 $a20140314h20142014 uy 0 101 0 $aeng 135 $aurnn#---|u||u 181 $ctxt 182 $cc 183 $acr 200 10$aPhilosophy of mathematics in the twentieth century $eselected essays /$fCharles Parsons 210 1$aCambridge, Massachusetts ;$aLondon, England :$cHarvard University Press,$d2014. 210 4$d©2014 215 $a1 online resource (368 p.) 300 $aDescription based upon print version of record. 311 0 $a0-674-72806-8 320 $aIncludes bibliographical references and index. 327 $tFront matter --$tCONTENTS --$tPREFACE --$tINTRODUCTION --$tPART I SOME MATHEMATICIANS AS PHILOSOPHERS --$t1 THE KANTIAN LEGACY IN TWENTIETH-CENTURY FOUNDATIONS OF MATHEMATICS --$t2 REALISM AND THE DEBATE ON IMPREDICATIVITY, 1917-1944 --$tPOSTSCRIPT TO ESSAY 2 --$t3 PAUL BERNAYS'LATER PHILOSOPHY OF MATHEMATICS --$t4 KURT GÖDEL --$t5 GÖDEL'S "RUSSELL'S MATHEMATICAL LOGIC" --$t6 QUINE AND GÖDEL ON ANALYTICITY --$tPOSTSCRIPT TO ESSAY 6 --$t7 PLATONISM AND MATHEMATICAL INTUITION IN KURT GÖDEL'S THOUGHT --$tPOST SCRIPT TO ESSAY 7 --$tPART II CONTEMPORARIES --$t8 QUINE'S NOMINALISM --$t9 GENETIC EXPLANATION IN THE ROOTS OF REFERENCE --$t10 HAO WANG AS PHILOSOPHER AND INTERPRETER OF GÖDEL --$t11 PUTNAM ON EXISTENCE AND ONTOLOGY --$t12 WILLIAM TAIT'S PHILOSOPHY OF MATHEMATICS --$tBIBLIOGRAPHY --$tCOPYRIGHT ACKNOWLEDGMENTS --$tINDEX 330 $aIn this illuminating collection, Charles Parsons surveys the contributions of philosophers and mathematicians who shaped the philosophy of mathematics over the course of the past century. Parsons begins with a discussion of the Kantian legacy in the work of L. E. J. Brouwer, David Hilbert, and Paul Bernays, shedding light on how Bernays revised his philosophy after his collaboration with Hilbert. He considers Hermann Weyl's idea of a "vicious circle" in the foundations of mathematics, a radical claim that elicited many challenges. Turning to Kurt Gödel, whose incompleteness theorem transformed debate on the foundations of mathematics and brought mathematical logic to maturity, Parsons discusses his essay on Bertrand Russell's mathematical logic--Gödel's first mature philosophical statement and an avowal of his Platonistic view. Philosophy of Mathematics in the Twentieth Century insightfully treats the contributions of figures the author knew personally: W. V. Quine, Hilary Putnam, Hao Wang, and William Tait. Quine's early work on ontology is explored, as is his nominalistic view of predication and his use of the genetic method of explanation in the late work The Roots of Reference. Parsons attempts to tease out Putnam's views on existence and ontology, especially in relation to logic and mathematics. Wang's contributions to subjects ranging from the concept of set, minds, and machines to the interpretation of Gödel are examined, as are Tait's axiomatic conception of mathematics, his minimalist realism, and his thoughts on historical figures. 606 $aMathematics$xPhilosophy 606 $aLogic, Symbolic and mathematical 608 $aElectronic books. 615 0$aMathematics$xPhilosophy. 615 0$aLogic, Symbolic and mathematical. 676 $a510.1 700 $aParsons$b Charles$f1933-$051021 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910463954403321 996 $aPhilosophy of mathematics in the twentieth century$92472382 997 $aUNINA