MARC Record from marc_columbia

LEADER: 02982fam a2200385 a 4500
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008 941222s1996 nyua b 001 0 eng
010 $a 94047024
020 $a0195084632
035 $a(OCoLC)31814772
035 $a(OCoLC)ocm31814772
035 $9ALE1880CU
035 $a(NNC)1734220
035 $a1734220
040 $aDLC$cDLC$dNNC$dOrLoB-B
043 $ae------
050 00 $aQA8.4$b.M36 1995
082 00 $a510/.9/032$220
100 1 $aMancosu, Paolo.$0http://id.loc.gov/authorities/names/n94122371
245 14 $aThe philosophy of mathematics and mathematical practice in the seventeenth century /$cPaolo Mancosu.
260 $aNew York :$bOxford University Press,$c1996.
263 $a9510
300 $aviii, 275 pages :$billustrations ;$c24 cm
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
504 $aIncludes bibliographical references (p. 249-265) and index.
505 00 $g1.$tPhilosophy of Mathematics and Mathematical Practice in the Early Seventeenth Century --$g2.$tCavalieri's Geometry of Indivisibles and Guldin's Centers of Gravity --$g3.$tDescartes' Geometrie --$g4.$tProblem of Continuity --$g5.$tParadoxes of the Infinite --$g6.$tLeibniz's Differential Calculus and Its Opponents --$tAppendix: Giuseppe Biancani's De Mathematicarum Natura: Translated by Gjula Klima.
520 $aThe seventeenth century saw more dramatic advances in mathematical theory and practice than any other era before or since. With the recovery of many of the classical Greek mathematical texts, new techniques were introduced, and within 100 years, analytic geometry, the geometry of indivisibles, the arithmetic of infinites, and the calculus had been developed.
520 8 $aPhilosophy of mathematics and mathematical practice in the seventeenth century have often been studied independently of one another. In this groundbreaking work, Paolo Mancosu offers the first comprehensive account of the rich interaction between the two fields.
520 8 $aBeginning with the Renaissance debates on the certainty of mathematics, Mancosu leads the reader through the foundational issues raised by the emergence of these new mathematical techniques, including the influence of the Aristotelian conception of science in Cavalieri and Guldin, the foundational relevance of Descartes's Geometrie, the relationship between empiricist epistemology and infinitistic theorems in geometry, and the debates concerning the foundations of the Leibnizian calculus.
520 8 $aIn the process, Mancosu draws a sophisticated picture of the subtle dependencies between technical development and philosophical reflection in seventeenth-century mathematics. Philosophers of mathematics and historians of philosophy and mathematics will welcome this much needed study.
650 0 $aMathematics$zEurope$xPhilosophy$xHistory$y17th century.
852 00 $bmat$hQA8.4$i.M36 1996
852 00 $bbar$hQA8.4$i.M36 1995