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Cover Art
Author Mancosu, Paolo.

Title Philosophy of mathematics and mathematical practice in the seventeenth century / Paolo Mancosu.

Published New York : Oxford University Press, 1996.


Location Call No. Status
 UniM Bund  510.9032 MANC {Bund10 20110701}    AVAILABLE
Physical description viii, 275 p. : ill. ; 24 cm.
Bibliography Includes bibliographical references (p. 249-265) and index.
Contents 1. Philosophy of Mathematics and Mathematical Practice in the Early Seventeenth Century -- 2. Cavalieri's Geometry of Indivisibles and Guldin's Centers of Gravity -- 3. Descartes' Geometrie -- 4. Problem of Continuity -- 5. Paradoxes of the Infinite -- 6. Leibniz's Differential Calculus and Its Opponents -- Appendix: Giuseppe Biancani's De Mathematicarum Natura: Translated by Gjula Klima.
Summary The 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. Philosophy 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.
Beginning 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. In 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.
Subject Mathematics -- Europe -- Philosophy -- History -- 17th century.
ISBN 0195084632 (acid-free paper)