Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century
By (author) Paolo Mancosu
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Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century by Paolo Mancosu
Book DescriptionThis 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.
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Book DetailsISBN: 9780195084634
(244mm x 164mm x 22mm)
Imprint: Oxford University Press Inc
Publisher: Oxford University Press Inc
Publish Date: 23-May-1996
Country of Publication: United States
Books By Author Paolo Mancosu
Abstraction and Infinity, Hardback (December 2016)
Mancosu offers an original investigation of key notions in mathematics: abstraction and infinity, and their interaction. He gives a historical analysis of the theorizing of definitions by abstraction, and explores a novel approach to measuring the size of infinite sets, showing how this leads to deep mathematical and philosophical problems.
Adventure of Reason, Paperback (January 2014)
Paolo Mancosu presents an innovative set of studies of logic and the foundations of mathematics in the first half of the twentieth century. He sheds new light on important topics such as the relationship between phenomenology and the exact sciences, the nature of truth and logical consequence, and the nature of mathematical intuition.
Philosophy of Mathematical Practice, Paperback (December 2011)» View all books by Paolo Mancosu
There is an urgent need in philosophy of mathematics for new approaches which pay closer attention to mathematical practice. This book will blaze the trail: it offers philosophical analyses of important characteristics of contemporary mathematics and of many aspects of mathematical activity which escape purely formal logical treatment.
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