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.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
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 (C.J.Scriba, MATH, Vol.939)
Mancosu's book succeeds admirably in explaining, clarifying and analysing the conceptual issues at stake in the material that it examines. Its author knows precisely when it is relevant to enter into the complexities of a mathematical derivation and when to bypass them. The material is fascinating, and in this treatment adds up to a lot more than just "sums in the past" (Times Literary Supplement)
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