Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century
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93 161 Ft
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Product details:
- Publisher OUP USA
- Date of Publication 23 May 1996
- ISBN 9780195084634
- Binding Hardback
- No. of pages288 pages
- Size 160x236x25 mm
- Weight 603 g
- Language English
- Illustrations line figures 0
Categories
Short description:
The 17th century saw a dramatic development in mathematical theory and practice. With the recovery of many of the classical Greek mathematical texts, new techniques were developed, and within 100 years the rules of modern analytic geometry, geometry of indivisibles, arithmetic of infinites, and calculus had been developed. Although many technical studies have been devoted to these developments, Mancosu provides the first comprehensive account of the foundational issues raised in the relationship between mathematical advances of this period and philosophy of mathematics of the time.
MoreLong description:
This book provides the first comprehensive account of the relationship between philosophy of mathematics and the mathematical practice of the seventeenth century - the most eventful period of mathematical development in history. Starting with the Renaissance debates on the certainty of mathematics, the author leads the readers through the foundational issues raised by the emergence of new mathematical techniques including the influence of the Aristotelian conception of science in Cavalieri and Guldin. In the process Mancosu draws a sophisticated picture of the subtle dependencies between technical developments and philosophical reflection in seventeenth century mathematics.
thoughtful and well-written