The 17th century saw a dramatic development in mathematical theory and practice. This is an account of the foundational issues raised in the relationship between mathematical advances of the period and the philosophy of mathematics. Num Pages: 288 pages, line figures. BIC Classification: 3JD; JFCX; PBB; PDX. Category: (P) Professional & Vocational. Dimension: 244 x 164 x 22. Weight in Grams: 609. . 1996. Hardback. . . . . Books ship from the US and Ireland.

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Bibliographic Details

Title: Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century
Publisher: Oxford University Press Inc
Publication Date: 1996
Language: English
ISBN 10: 0195084632
ISBN 13: 9780195084634
Binding: Hardcover
Condition: New

About this title

Synopsis

The seventeenth century saw dramatic advances in mathematical theory and practice. With the recovery of many of the classical Greek mathematical texts, new techniques were introduced, and within 100 years, the rules of analytic geometry, geometry of indivisibles, arithmetic of infinites, and calculus were developed. Although many technical studies have been devoted to these innovations, Mancosu provides the first comprehensive account of the relationship between mathematical advances of the seventeenth century and the philosophy of mathematics of the period. Starting 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 relation between geometrical and epistemological theories of the infinite, and the Leibnizian calculus and the opposition to infinitesimalist procedures. 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.

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