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Synthetic Philosophy of Contemporary Mathematics - Softcover

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9780956775016: Synthetic Philosophy of Contemporary Mathematics

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A panoramic survey of the vast spectrum of modern and contemporary mathematics and the new philosophical possibilities they suggest.

A panoramic survey of the vast spectrum of modern and contemporary mathematics and the new philosophical possibilities they suggest, this book gives the inquisitive non-specialist an insight into the conceptual transformations and intellectual orientations of modern and contemporary mathematics.

The predominant analytic approach, with its focus on the formal, the elementary and the foundational, has effectively divorced philosophy from the real practice of mathematics and the profound conceptual shifts in the discipline over the last century. The first part discusses the specificity of modern (1830–1950) and contemporary (1950 to the present) mathematics, and reviews the failure of mainstream philosophy of mathematics to address this specificity. Building on the work of the few exceptional thinkers to have engaged with the “real mathematics” of their era (including Lautman, Deleuze, Badiou, de Lorenzo and Châtelet), Zalamea challenges philosophy's self-imposed ignorance of the “making of mathematics.”

In the second part, thirteen detailed case studies examine the greatest creators in the field, mapping the central advances accomplished in mathematics over the last half-century, exploring in vivid detail the characteristic creative gestures of modern master Grothendieck and contemporary creators including Lawvere, Shelah, Connes, and Freyd.

Drawing on these concrete examples, and oriented by a unique philosophical constellation (Peirce, Lautman, Merleau-Ponty), in the third part Zalamea sets out the program for a sophisticated new epistemology, one that will avail itself of the powerful conceptual instruments forged by the mathematical mind, but which have until now remained largely neglected by philosophers.

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Fernando Zalamea is Professor of Mathematics at the Universidad Nacional de Colombia.

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Fernando Zalamea; Zachary Luke Fraser (translator)
Published by Urbanomic/Sequence Press, 2012
ISBN 10: 0956775012 ISBN 13: 9780956775016
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Paperback. Condition: Collectible-Very Good. Signed and inscribed by Fernando Zalamea on the half title page. Text is unmarked; pages are bright. Binding is tight and square. Covers show some light edge wear. 385pp. Inscribed by Author. Seller Inventory # 065422

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Zalamea, Fernando
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ISBN 10: 0956775012 ISBN 13: 9780956775016
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ISBN 10: 0956775012 ISBN 13: 9780956775016
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Review Copy. Near fine copy in the original stiff-card wrappers; edges very slightly dust-dulled and toned. Remains particularly and surprisingly well-preserved; tight, bright, clean and especially sharp-cornered. Physical description; 385 pages : illustrations ; 18 cm. Notes; "Originally published in Spanish as Filosofía sintética de las matemáticas contemporáneas, Editorial Universidad Nacional de Colombia, 2009" -- back of title-page. Includes bibliographical references and index. Subjects; Mathematics Philosophy. Genres; Bibliography. Illustrated. 1 Kg. Seller Inventory # 288083

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ISBN 10: 0956775012 ISBN 13: 9780956775016
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Review Copy. Near fine copy in the original stiff-card wrappers; edges very slightly dust-dulled and toned. Remains particularly and surprisingly well-preserved; tight, bright, clean and especially sharp-cornered. Physical description; 385 pages : illustrations ; 18 cm. Notes; "Originally published in Spanish as Filosofía sintética de las matemáticas contemporáneas, Editorial Universidad Nacional de Colombia, 2009" -- back of title-page. Includes bibliographical references and index. Subjects; Mathematics Philosophy. Genres; Bibliography. Illustrated. 1 Kg. Seller Inventory # 288083

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Condition: New. Fernando Zalamea is Professor of Mathematics at the Universidad Nacional de Colombia.A panoramic survey of the vast spectrum of modern and contemporary mathematics and the new philosophical possibilities they suggest.A panoramic survey of the . Seller Inventory # 327777453

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