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Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century

Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century

by Paolo Mancosu
Hardback
Publication Date: 23/05/1996
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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.
ISBN:
9780195084634
9780195084634
Category:
History of Western philosophy
Format:
Hardback
Publication Date:
23-05-1996
Language:
English
Publisher:
Oxford University Press Inc
Country of origin:
United States
Pages:
284
Dimensions (mm):
244x164x22mm
Weight:
0.61kg

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