Name: Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century
Price: 47.97 EUR
Availability: InStock
Author: Paolo Mancosu
ISBN: 9780195132441

portada Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century

Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century

Type

Physical Book

Publisher

Oxford University Press

Author

Paolo Mancosu

Year

1999

Language

English

Pages

288

Format

Paperback

ISBN

0195132440

ISBN13

9780195132441

Edition No.

Synopsis "Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century "

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.

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Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century - Paolo Mancosu

Synopsis "Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century "

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