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Tool And Object A History And Philosophy of Category Theory






Pub Date: 
Publisher:  Birkhauser Boston
Summary: "The book is first of all a history of category theory from the beginnings to A. Grothendieck and F.W. Lawvere. Category theory was an important conceptual tool in 20th century mathematics whose influence on some mathematical subdisciplines (above all algebraic topology and algebraic geometry) is analyzed. Category theory also has an important philosophical aspect: on the one hand its set-theoretical foundation is le...ss obvious than for other mathematical theories, and on the other hand it unifies conceptually a large part of modern mathematics and may therefore be considered as somewhat fundamental itself. The role of this philosophical aspect in the historical development is the second focus of the book. Relying on the historical analysis, the author develops a philosophical interpretation of the theory of his own, intending to get closer to how mathematicians conceive the significance of their activity than traditional schools of philosophy of science." "The book is the first monography exclusively devoted to the history of category theory. The author uses (and justifies the use of) a methodology combining historical and philosophical approaches. The analysis is not confined to general remarks, but goes into considerable mathematical detail. Hence, the book provides an thorough case study compared with other works on history or philosophy of mathematics. The philosophical position developed here (inspired by Peircean pragmatism and Wittgenstein) is an interesting alternative to traditional approaches in philosophy of mathematics like platonism, formalism and intuitionism."--BOOK JACKET.

Krömer, Ralf is the author of Tool And Object A History And Philosophy of Category Theory, published 2007 under ISBN 9783764375232 and 376437523X. Two hundred two Tool And Object A History And Philosophy of Category Theory textbooks are available for sale on ValoreBooks.com, fifty two used from the cheapest price of $138.98, or buy new starting at $138.98.
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Tool And Object A History And Philosophy of Category Theory

ISBN-13: 9783764375232

ISBN: 376437523X

Pub Date:
Publisher: Birkhauser Boston
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