Synthetic Philosophy of Contemporary Mathematics

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9780956775016: Synthetic Philosophy of Contemporary Mathematics

Synthetic Philosophy of Contemporary Mathematics is a unique and unprecedented book, and a much needed one. Fernando Zalamea (Professor of Mathematics at the Universidad Nacional de Colombia) offers a synthetic perspective on the vast spectrum of contemporary mathematics, together with an analysis of the new philosophical problems originating therein. The book makes available to the inquisitive non-specialist the conceptual transformations and intellectual orientations of modern and contemporary mathematics, and their significance for speculative philosophical thought. The first part of the text discusses the specificity of modern (1830-1950) and contemporary (1950 to the present) mathematics, and offers an extensive review of how philosophy of mathematics addressed it (or failed to). In the second part, thirteen detailed case studies examine the greatest creators in the field, compiling a map of the central advances accomplished in mathematics over the last half-century. Drawing on these concrete examples, the third part proposes some generic outlines for synthesis. Zalamea's book serves as a conceptual introduction to mathematical themes rarely discussed outside specialist circles, and as a critical lens by means of which today's mathematics may aid us in the configuration of new cultural perspectives. If analytic philosophy was forged in the fires of set theory and classical logic at the beginning of the twentieth century, then today, at the dawn of the twenty-first, and around the scaffolding of category theory and the logic of sheaves, it is time for a complementary, synthetic philosophy to be built.

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About the Author:

Fernando Zalamea is professor of Mathematics at the Universidad Nacional de Colombia. He is author of Ariadna y Penélope: Redes y mixturas en el mundo contemporáneo (Asturias: Ediciones Nobel,2004), América, una trama integral: Transversalidad, bordes y abismos en la cultura americana,siglos xix y xx (Bogotá: Universidad Nacional de Colombia, 2009), and Razón de la Frontera y Fronteras de la razón: Pensamiento de los límites en Peirce, Florenski, Marey, y limitantes de la expresión en Lispector,Vieira da Silva, Tarkovski (Bogotá: Universidad Nacional de Colombia, 2010). He is also editor and translator of the Spanish edition of the works of Albert Lautman, Ensayos sobre la dialéctica, estructrura y unidad de las matemáticas modernas (Bogotá:Universidad Nacional de Colombia, 2011).

Review:

This is a weighty and daring book. It proposes a new philosophy of mathematics, based on a detailed knowledge of the most recent work in advanced mathematics, and constructed in explicit contrast with the traditional analytical approach...this new synthetic and open-minded approach is no doubt worthy of attention, and philosophers who dare to make an effort will surely reap the reward. --Paloma Pérez-Ilzarbe, American Mathematical Society s MathSciNet

Zalamea is clearly on the cutting edge of theorizing potential intersections between networks, math, and philosophy. Few thinkers are able to bring together insights from as diverse fields in such as exciting manner as Zalamea. --Christopher Vitale, Assistant Professor, Media Studies, Pratt Institute, NY

With high professional competence in mathematics and philosophy and written in masterful prose, Zalamea opens up a breathtaking insight into advanced contemporary mathematics by enlightening its magical power with the powerful paradigm of gestural dynamics as developed by Valéry, Merleau-Ponty and Châtelet. --Guerino Mazzola, Professor of Mathematical Music Theory and Creativity, School of Music, University of Minnesota

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Fernando Zalamea
Editore: Urbanomic, United Kingdom (2012)
ISBN 10: 0956775012 ISBN 13: 9780956775016
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Descrizione libro Urbanomic, United Kingdom, 2012. Paperback. Condizione libro: New. Language: N/A. Brand New Book. 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 of contemporary mathematics. The predominant analytic approach has effectively divorced philosophy from the real practice of mathematics and the profound conceptual shifts in the discipline over the last century. Building on the work of the few exceptional thinkers to have engaged with the real mathematics of their era, Zalamea challenges philosophy s self-imposed ignorance of the making of mathematics . Detailed case studies examine the greatest creators in the field, mapping the central advances accomplished in mathematics over the last half-century. Zalamea sets out a sophisticated new epistemology that avails itself of the powerful conceptual instruments forged by the mathematical mind, but which have until now remained largely neglected by philosophers. Codice libro della libreria AAO9780956775016

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Fernando Zalamea
Editore: Urbanomic, United Kingdom (2012)
ISBN 10: 0956775012 ISBN 13: 9780956775016
Nuovi Paperback Quantità: 10
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(London, Regno Unito)
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Descrizione libro Urbanomic, United Kingdom, 2012. Paperback. Condizione libro: New. Language: N/A. Brand New Book. 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 of contemporary mathematics. The predominant analytic approach has effectively divorced philosophy from the real practice of mathematics and the profound conceptual shifts in the discipline over the last century. Building on the work of the few exceptional thinkers to have engaged with the real mathematics of their era, Zalamea challenges philosophy s self-imposed ignorance of the making of mathematics . Detailed case studies examine the greatest creators in the field, mapping the central advances accomplished in mathematics over the last half-century. Zalamea sets out a sophisticated new epistemology that avails itself of the powerful conceptual instruments forged by the mathematical mind, but which have until now remained largely neglected by philosophers. Codice libro della libreria AAO9780956775016

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Fernando Zalamea
Editore: Urbanomic/Sequence Press (2013)
ISBN 10: 0956775012 ISBN 13: 9780956775016
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Descrizione libro Urbanomic/Sequence Press, 2013. Paperback. Condizione libro: New. book. Codice libro della libreria 956775012

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