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Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century
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简体网页||繁体网页
Paolo Mancosu 作者
Oxford University Press, USA
译者
1999-06-14 出版日期
286 页数
USD 35.00 价格
Paperback
丛书系列
9780195132441 图书编码

Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century 在线电子书 图书标签: 近代数学  笛卡尔  科学哲学  数学哲学  数学史   

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发表于2024-11-26

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Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024


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Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century 在线电子书 图书描述

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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