Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century by Assistant Professor of Philosophy Paolo Mancosu
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Author: Assistant Professor of Philosophy Paolo Mancosu
Page Count: 288 pages
Published Date: 08 Jul 1999
Publisher: Oxford University Press Inc
Publication Country: New York, United States
Language: English
ISBN: 9780195132441
File size: 47 Mb
File Name: Philosophy.of.Mathematics.and.Mathematical.Practice.in.the.Seventeenth.Century.pdf
Download Link: Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century
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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.
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