Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century

Mancosu, Paolo

ISBN 10: 0195132440 / ISBN 13: 9780195132441

Published by Oxford University Press, 1996

About this Item

Old price sticker on the cover. All pages unmarked.

Seller Inventory # ABE-1703273412093

Bibliographic Details

• Title: Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century
• Publisher: Oxford University Press
• Publication Date: 1996
• Language: English
• ISBN 10: 0195132440
• ISBN 13: 9780195132441
• Binding: Soft cover
• Condition: Good
• Weight: 2 pounds

About this title

Synopsis

The seventeenth century saw dramatic advances in mathematical theory and practice than any 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. Although many technical studies have been devoted to these innovations, Paolo Mancosu provides the first comprehensive account of the relationship between mathematical advances of the seventeenth century and the philosophy of mathematics of the period. 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' 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.

About the Author

Paolo Mancosu is at University of California at Berkeley.