Simon Duffy - Deleuze and the History of Mathematics: In Defense of the ’New’

Deleuze and the History of Mathematics

Bloomsbury Studies in Continental Philosophy

Bloomsbury Studies in Continental Philosophy is a major monograph series from Bloomsbury. The series features first-class scholarly research monographs across the field of Continental philosophy. Each work makes a major contribution to the field of philosophical research.

Adornos Concept of Life , Alastiar Morgan

Adornos Poetics of Critique , Steven Helmling

Badiou and Derrida , Antonio Calcagno

Badiou, Marion and St Paul , Adam Miller

Being and Number in Heideggers Thought , Michael Roubach

Crisis in Continental Philosophy , Robert Piercey

Deleuze and Guattari , Fadi Abou-Rihan

Deleuze and Guattaris Philosophy of History , Jay Lampert

Derrida and the Future of the Liberal Arts , edited by Mary Caputi and Vincent J. Del Casino, Jnr

Deleuze and the Genesis of Representation , Joe Hughes

Derrida , Simon Morgan Wortham

Derrida and Disinterest , Sean Gaston

Derrida: Ethics Under Erasure , Nicole Anderson

Domestication of Derrida , Lorenzo Fabbri

Encountering Derrida , Simon Morgan Wortham

Foucaults Heidegger , Timothy Rayner

Foucaults Legacy , C.G. Prado

Gabriel Marcels Ethics of Hope , Jill Graper Hernandez

Gadamer and the Question of the Divine , Walter Lammi

Gadamers Poetics: A Critique of Modern Aesthetics , John Arthos

Gilles Deleuze , Constantin V. Boundas

Heidegger and a Metaphysics of Feeling , Sharin N. Elkholy

Heidegger and Authenticity , Mahon OBrien

Heidegger and Happiness , Matthew King

Heidegger and Philosophical Atheology , Peter S. Dillard

Heidegger and the Place of Ethics , Michael Lewis

Heidegger Beyond Deconstruction , Michael Lewis

Heidegger, Politics and Climate Change , Ruth Irwin

Heideggers Early Philosophy , James Luchte

In the Shadow of Phenomenology , Stephen H. Watson

Irony of Heidegger , Andrew Haas

Jean-Luc Nancy and the Thinking of Otherness: Philosophy and Powers of Existence , Daniele Rugo

Kant, Deleuze and Architectonics , Edward Willatt

Merleau-Pontys Phenomenology , Kirk M. Besmer

Michel Henry , Jeffrey Hanson

Nietzsche and the Anglo-Saxon Tradition , Louise Mabille

Nietzsches Ethical Theory , Craig Dove

Nietzsches Thus Spoke Zarathustra , James Luchte

Phenomenology, Institution and History , Stephen H. Watson

Post-Rationalism: Psychoanalysis, Epistemology and Marxism in Post-War France , Tom Eyers

Ricoeur and Lacan , Karl Simms

Sartres Phenomenology , David Reisman

Simultaneity and Delay , Jay Lampert

Thinking Between Deleuze and Kant , Edward Willatt

Whos Afraid of Deleuze and Guattari?, Gregg Lambert

Zizek and Heidegger , Thomas Brockelman

Deleuze and the History of Mathematics

In Defense of the New

Simon B. Duffy

Bloomsbury Academic

An imprint of Bloomsbury Publishing Plc

www.bloomsbury.com

First published 2013

Simon B. Duffy, 2013

All rights reserved. No part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, recording, or any information storage or retrieval system, without prior permission in writing from the publishers.

Simon B. Duffy has asserted his right under the Copyright, Designs and Patents Act, 1988, to be identified as Author of this work.

No responsibility for loss caused to any individual or organization acting on or refraining from action as a result of the material in this publication can be accepted by Bloomsbury Academic or the author.

British Library Cataloguing-in-Publication Data

A catalogue record for this book is available from the British Library.

ePub ISBN: 978-1-4411-7920-3

Library of Congress Cataloging-in-Publication Data

Duffy, Simon B.

Deleuze and the history of mathematics : in defence of the new / Simon B. Duffy.

pages cm. (Bloomsbury studies in Continental philosophy)

Includes bibliographical references and index.

ISBN 978-1-4411-2950-5 ISBN 978-1-4411-1389-4 (pdf) ISBN 978-1-4411-7920-3 (epub) 1. Deleuze, Gilles, 19251995. 2. MathematicsPhilosophy. I. Title.

B2430.D454D845 2013

194dc23

2012049681

Typeset by Deanta Global Publishing Services, Chennai, India

To Sandra and Samuel

Contents

I am grateful to the publishers for granting permission to reprint material from the following articles and chapters:

Deleuze, Leibniz and projective geometry in The Fold . Angelaki. Journal of the Theoretical Humanities 15.2 (2010): 12947. Extracts reproduced with the permission of the publisher, the Routledge, Taylor & Francis Group.

Leibniz, Mathematics and the Monad.. Edited by Niamh McDonnell and Sjoerd van Tuinen, Hampshire: Palgrave Macmillan, 2010. Extracts reproduced with the permission of Palgrave Macmillan.

The question of Deleuzes Neo-Leibnizianism. Down by Law: Revisiting Normativity with Deleuze , edited by RosiBraidotti and Patricia Pisters. London: Bloomsbury, 2012.Extracts reproduced with the permission of Bloomsbury Publishing.

Schizo-Math. The logic of differen t/c iation and the philosophy of difference. Angelaki. Journal of the Theoretical Humanities 9.3 (2004): 199215. Extracts reproduced with the permission of the publisher, the Routledge, Taylor & Francis Group.

The logic of expression: quality, quantity, and intensity in Spinoza, Hegel and Deleuze . Aldershot, UK; Burlington, VT: Ashgate, 2006. Extracts from chapters 2, 3, 10, and the conclusion reproduced with the permission of Ashgate Publishers.

The differential point of view of the infinitesimal calculus in Spinoza, Leibniz and Deleuze. Journal of the British Society for Phenomenology 37.3 (2006): 286307. Extracts reproduced with the permission of the editors.

The Mathematics of Deleuzes differential logic and metaphysics. , edited by Simon Duffy, Manchester: Clinamen Press, 2006. Extracts reproduced with the permission of the editor.

Deleuze and the Mathematical Philosophy of Albert Lautman. Deleuzes Philosophical Lineage , edited by Graham Jones and Jon Roffe. Edinburgh: Edinburgh University Press, 2009. Extracts reproduced with the permission of Edinburgh University Press.

Badious Platonism: The Mathematical Ideas of Post-Cantorian Set Theory. Badiou and Philosophy , edited by Sean Bowden and Simon . Edinburgh: Edinburgh University Press, 2012. Reproduced with the permission of Edinburgh University Press.

[with Sean Bowden] Badious Philosophical Heritage. Badiou and Philosophy , edited by Sean Bowden and Simon B. Duffy. Edinburgh: Edinburgh University Press, 2012. Extracts reproduced with the permission of Edinburgh University Press.

Among those friends and colleagues who have provided helpful feedback and suggestions, I would like to thank in particular Kieran Aarons, Sabrina Achilles, Philip Armstrong, Jeffrey Bell, HanjoBerressem, Ronald Bogue, John Bova, Sean Bowden, RosiBraidotti, Ray Brassier, Ian Buchannan, Felicity Colman, Mark Colyvan, Sandra Field, Arne Fredlund, Hlne Frichot, Rocco Gangle, Daniel Garber, Moira Gatens, Melissa Gregg, Ren Guitart, Graham Harman, Anna Hickey-Moody, Eugene Holland, Joe Hughes, Graham Jones, Christian Kerslake, Stephen Loo, Beth Lord, Craig Lundy, David Macarthur, Robin Mackay, Mary Beth Mader, Talia Morag, Dalia Nassar, Anne Newstead, Paul Patton, ArkadyPlotnitsky, John Protevi, Sebastian Purcell, Paul Redding, Jon Roffe, Anne Sauvagnargues, Daniel W. Smith, HenrySomers-Hall, Julius Telivuo, Paul Thom, Daniela Voss, James Williams, and Jing Wu.