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  E-mail Message: I thought you might be interested in this item at http://www.worldcat.org/oclc/31814772 Title: Philosophy of mathematics and mathematical practice in the seventeenth century Author: Paolo Mancosu Publisher: New York : Oxford University Press, 1996. ISBN/ISSN: 0195084632 9780195084634 OCLC:31814772

  
  

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Philosophy of mathematics and mathematical practice in the seventeenth century

Author:	Paolo Mancosu
Publisher:	New York : Oxford University Press, 1996.
Edition/Format:	Book : EnglishView all editions and formats
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.  Read more...
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