Fernando Zalamea

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

  • Synthetic Philosophy of Contemporary Mathematics

    Synthetic Philosophy of Contemporary Mathematics

    Fernando Zalamea

    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.

    • Paperback $26.95

Contributor

  • Collapse, Volume 8

    Collapse, Volume 8

    Casino Real

    Robin Mackay

    An assembly of perspectives on risk, contingency, and chance—at the gaming table, in the markets, and in life.

    A transdisciplinary survey of practices that produce, analyse, and exploit risk and uncertainty, the eighth volume of Collapse uncovers the conceptual underpinnings of methods designed to extract value from contingency—at the gaming table, in the markets, and in life. The indictment of “casino capitalism” and the centrality of risk to contemporary society are traced back to a ubiquitous image of thought that originated in games of chance, but which is no longer adequate to address a world whose realities are now shaped by risk models and trading in speculative futures.

    To challenge the “casino” model, this volume brings together philosophers who extend the thinking of contingency beyond statistical modelling, professional traders and gamblers whose lifelong experience has shaped their understanding of chance, researchers analysing the perception and treatment of risk and uncertainty in diverse arenas including derivatives trading, quantum physics, insurance, sonic experimentation, literature, futurology, mathematics, and machine gambling, and artists whose work addresses both the desire to confront chance and the need to tame it by bringing it to order.

    • Paperback $31.95
  • Collapse, Volume 7

    Culinary Materialism

    Reza Negarestani and Robin Mackay

    Examination of the cultural, industrial, physiological, alchemical, and even cosmic dimensions of cookery, drawing anthropology, chemistry, hermetic alchemy and contemporary mathematics.

    Cookery has never been so high on the agenda of Western popular culture. And yet the endlessly-multiplying TV shows, the obsessive interest in the provenance of ingredients, and the celebration of “radical” experiments in gastronomy tell us little about the nature of the culinary. Is it possible to maintain that cookery has a philosophical pertinence without merely appending philosophy to our burgeoning gastroculture? How might the everyday sense of the culinary be expanded into a philosophy of “culinary materialism” wherein synthesis, experimentation, and operations of mixing and blending take precedence over analysis, subtraction, and axiomatisation?

    Drawing on resources ranging from anthropology to chemistry, from hermetic alchemy to contemporary mathematics, the seventh volume of Collapse undertakes a trans-modal experiment in culinary thinking. A wide range of contributors including philosophers, chefs, artists, historians, and synaesthetes examine the cultural, industrial, physiological, alchemical, and even cosmic dimensions of cookery, and propose new models of culinary thought for the future.

    • Paperback $25.00