Deleuze and the History of Mathematics

In Defense of the 'New'

Author: Simon Duffy

Publisher: A&C Black

ISBN: 1441113894

Category: Philosophy

Page: 208

View: 9455

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Gilles Deleuze's engagements with mathematics, replete in his work, rely upon the construction of alternative lineages in the history of mathematics, which challenge some of the self imposed limits that regulate the canonical concepts of the discipline. For Deleuze, these challenges are an opportunity to reconfigure particular philosophical problems - for example, the problem of individuation - and to develop new concepts in response to them. The highly original research presented in this book explores the mathematical construction of Deleuze's philosophy, as well as addressing the undervalued and often neglected question of the mathematical thinkers who influenced his work. In the wake of Alain Badiou's recent and seemingly devastating attack on the way the relation between mathematics and philosophy is configured in Deleuze's work, Simon Duffy offers a robust defence of the structure of Deleuze's philosophy and, in particular, the adequacy of the mathematical problems used in its construction. By reconciling Badiou and Deleuze's seeming incompatible engagements with mathematics, Duffy succeeds in presenting a solid foundation for Deleuze's philosophy, rebuffing the recent challenges against it.

Mathematics, Ideas and the Physical Real

Author: Albert Lautman

Publisher: A&C Black

ISBN: 1441144331

Category: Philosophy

Page: 352

View: 607

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Albert Lautman (1908-1944) was a French philosopher of mathematics whose work played a crucial role in the history of contemporary French philosophy. His ideas have had an enormous influence on key contemporary thinkers including Gilles Deleuze and Alain Badiou, for whom he is a major touchstone in the development of their own engagements with mathematics. Mathematics, Ideas and the Physical Real presents the first English translation of Lautman's published works between 1933 and his death in 1944. Rather than being preoccupied with the relation of mathematics to logic or with the problems of foundation, which have dominated philosophical reflection on mathematics, Lautman undertakes to develop an understanding of the broader structure of mathematics and its evolution. The two powerful ideas that are constants throughout his work, and which have dominated subsequent developments in mathematics, are the concept of mathematical structure and the idea of the essential unity underlying the apparent multiplicity of mathematical disciplines. This collection of his major writings offers readers a much-needed insight into his influence on the development of mathematics and philosophy.

Deleuze and Ancient Greek Physics

The Image of Nature

Author: Michael James Bennett

Publisher: Bloomsbury Publishing

ISBN: 1474284698

Category: Philosophy

Page: 288

View: 604

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In 1988 the philosopher Gilles Deleuze remarked that, throughout his career, he had always been 'circling around' a concept of nature. Providing critical analysis of his highly original readings of Stoicism, Aristotle, and Epicurus, this book shows that it is Deleuze's interpretations of ancient Greek physics that provide the key to understanding his conception of nature. Using the works of Aristotle, Plato, Chrysippus, and Epicurus, Michael Bennett traces the development of Deleuze's key concepts of event, difference, and problem. Arguing that it is difficult, if not impossible, to fully understand these ideas without an appreciation of Deleuze's Hellenistic influences, Deleuze and Ancient Greek Physics situates his commentaries in the context of contemporary scholarship on ancient Greek philosophy. Delving into the original Greek and Latin texts, this book shows that Deleuze's readings are more complex and controversial than they first appear, simultaneously advancing Deleuze as a new voice in interpretations of ancient Greek philosophy. Generating both new critical analyses of Deleuze and a new appreciation for his classical erudition, Deleuze and Ancient Greek Physics will be a valuable resource for anyone interested in ancient Greek philosophy, Deleuze's philosophical project or his unique methodology in the history of philosophy.

Deleuze and Guattari's Philosophy of History

Author: Jay Lampert

Publisher: A&C Black

ISBN: 1847143547

Category: Philosophy

Page: 188

View: 1976

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Deleuze and Guattari's Philosophy of History constructs, problematizes and defends a Deleuzian philosophy of history. Drawing on Deleuze's philosophy of time, it identifies key ideas and suggestions related to the philosophy of history from Deleuze and Guattari's major writings - including the seminal contemporary texts Anti-Oedipus, A Thousand Plateaux, Difference and Repetiton and The Logic of Sense. The book covers the following themes: the role of dates in historical chronology; historical causality; historical origins; the character of historical events; and the diagnosis of such actual historical events as the rise of capitalism in Europe. This text is a groundbreaking, valuable and original contribution to the scholarship on Deleuze and Guattari, and contemporary Continental philosophy as a whole.

Out of this World

Deleuze and the Philosophy of Creation

Author: Peter Hallward

Publisher: Verso

ISBN: 9781844670796

Category: Philosophy

Page: 199

View: 3007

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A controversial critique of an iconic philosopher. Gilles Deleuze was one of the most influential French philosophers of the last century. Michel Foucault famously suggested that the 20th century would be known as "Deleuzian." His powerful philosophy of desire, difference and "nomadic thought" seemed to hack away at all previous hierarchies in political and philosophical thought, opening a space for radical democratic transformation. Thinkers such as Jameson, Badiou and Negri all acknowledge his work as a profound influence. Peter Hallward's new book challenges the hegemony of Deleuze's work, aiming to go right to the heart of his philosophy. It engages with the central idea that informs virtually all his work: the assertion of an unlimited creative power. Exploring the ways in which Deleuze dissolves anything that might inhibit the expression of this creativity, Hallward accuses Deleuze of being a spiritual and "other-worldly" philosopher, rather than a theorist of material complexity and difference. Hallward argues that the problems of conflict and solidarity are effectively dismissed in Deleuze's workas is the possibility of any political transformation. This powerful and thorough critique shows once and for all that the Deleuzian century is over. If we want to change the future we need to look elsewhere.

Deleuze and the Diagram

Aesthetic Threads in Visual Organization

Author: Jakub Zdebik

Publisher: Bloomsbury Publishing

ISBN: 1441178724

Category: Philosophy

Page: 256

View: 7472

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Deleuze and the Diagram charts Deleuze's corpus according to aesthetic concepts such as the map, the sketch and the drawing to bring out a comprehensive concept of the diagram. In his interrogation of Deleuze's visual aesthetic theory, Jakub Zdebik focuses on artists that hold an important place in Deleuze's system. The art of Paul Klee and Francis Bacon is presented as the visual manifestation of Deleuze's philosophy and yields novel ways of assessing visual culture. Zdebik goes on to compare Deleuze's philosophy with the visual theories of Foucault, Lyotard and Simondon, as well as the aesthetic philosophy of Heidegger and Kant. He shows how the visual and aesthetic elements of the diagram shed new light on Deleuze's writings. Deleuze conceptualized his theory as a form of painting, saying that, like art, it needed to shift from figuration to abstraction. This book focuses on the visual devices in Deleuze's work and uses the concept of the diagram to describe the relationship between philosophy and art and to formulate a way to think about philosophy through art.

Deleuze and the Genesis of Representation

Author: Joe Hughes

Publisher: A&C Black

ISBN: 1441100989

Category: Philosophy

Page: 208

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Deleuze and the Genesis of Representation is a systematic study of three of Deleuze's central works: Difference and Repetition, The Logic of Sense and, with Guattari, Anti-Oedipus. Hughes shows how each of these three works develops the Husserlian problem of genetic constitution. After an innovative reading of Husserl's late work, Hughes turns to a detailed study of the conceptual structures of Deleuze's three books. He demonstrates that each book is surprisingly similar in its structure and that all three function as nearly identical accounts of the genesis of representation. In a highly original and crucial contribution to Deleuze Studies, this book offers a provocative perspective on many of the questions Deleuze's work has raised: What is the status of representation? Of subjectivity? What is a body without organs? How is the virtual produced, and what exactly is its function within Deleuze's thought as a whole? By contextualizing Deleuze's thought within the radicalization of phenomenology, Hughes is able to suggest solutions to these questions that will be as compelling as they are controversial.

Deleuze and the Schizoanalysis of Religion

Author: F. LeRon Shults,Lindsay Powell-Jones

Publisher: Bloomsbury Publishing

ISBN: 1474266916

Category: Philosophy

Page: 208

View: 4359

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This volume brings together some of the leading voices in the field of Deleuze studies to explore ? and practice ? a variety of approaches to the schizoanalysis of religion. The authors share an enthusiasm for applying Deleuze and Guattari's schizoanalytic project to "religion,?? but they display significantly different ways of carrying out its creative and destructive tasks. As a whole, the book addresses the relevance of Deleuze for contemporary developments in political theology, liberation theology, Christian doctrine, and the recent growth of interest in spirituality and atheism. Opening up new lines of flight for Deleuze studies, Deleuze and the Schizoanalysis of Religion makes rhizomic connections that will be of interest to scholars in other fields including theology, psychology of religion, philosophy of religion and the history and practice of Western esotericism.

Hegel, Deleuze, and the Critique of Representation

Dialectics of Negation and Difference

Author: Henry Somers-Hall

Publisher: SUNY Press

ISBN: 1438440103

Category: Philosophy

Page: 305

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A critical account of the key connections between twentieth-century French philosopher Gilles Deleuze and nineteenth-century German idealist G. W. F. Hegel.

Making and Breaking Mathematical Sense

Histories and Philosophies of Mathematical Practice

Author: Roi Wagner

Publisher: Princeton University Press

ISBN: 1400883784

Category: Mathematics

Page: 256

View: 5352

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In line with the emerging field of philosophy of mathematical practice, this book pushes the philosophy of mathematics away from questions about the reality and truth of mathematical entities and statements and toward a focus on what mathematicians actually do—and how that evolves and changes over time. How do new mathematical entities come to be? What internal, natural, cognitive, and social constraints shape mathematical cultures? How do mathematical signs form and reform their meanings? How can we model the cognitive processes at play in mathematical evolution? And how does mathematics tie together ideas, reality, and applications? Roi Wagner uniquely combines philosophical, historical, and cognitive studies to paint a fully rounded image of mathematics not as an absolute ideal but as a human endeavor that takes shape in specific social and institutional contexts. The book builds on ancient, medieval, and modern case studies to confront philosophical reconstructions and cutting-edge cognitive theories. It focuses on the contingent semiotic and interpretive dimensions of mathematical practice, rather than on mathematics' claim to universal or fundamental truths, in order to explore not only what mathematics is, but also what it could be. Along the way, Wagner challenges conventional views that mathematical signs represent fixed, ideal entities; that mathematical cognition is a rigid transfer of inferences between formal domains; and that mathematics’ exceptional consensus is due to the subject’s underlying reality. The result is a revisionist account of mathematical philosophy that will interest mathematicians, philosophers, and historians of science alike.

Deleuze and the Meaning of Life

Author: Claire Colebrook

Publisher: Bloomsbury Publishing

ISBN: 1441121153

Category: Philosophy

Page: 208

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The intensification of interest in Deleuze over the last decade has coincided with the end of the linguistic paradigm in both continental and analytic philosophy. Indeed, the division between the two traditions appears to be closing and the philosophy of Gilles Deleuze seems to be crucial to this convergence, as he is both indebted to the phenomenological tradition at the same time as he operates with concepts drawn from the sciences. Claire Colebrook explores these ideas and offers a new and alternative assessment of Deleuze's contribution to philosophy. She argues that while Deleuze does draw upon sciences that explain the emergence of language, art and philosophy, his own thought is distinguished by a discontinuist thesis: systems may emerge from tendencies of life but always have the capacity to operate without reference to their original aim. Colebrook makes new claims regarding how Deleuze's philosophy might be used to read contemporary art and thus offers an original and crucial contribution to the Deleuzian debate.

Gilles Deleuze, Postcolonial Theory, and the Philosophy of Limit

Author: Réda Bensmaïa

Publisher: Bloomsbury Publishing

ISBN: 1350004405

Category: Philosophy

Page: 192

View: 1965

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Does a philosopher have an 'identity'? What kind of 'identity' is mobilized when the work of a philosopher becomes a major reference for certain schools of thought, as in the case of Gilles Deleuze and postcolonial theory? Have the promoters of a generalized Deleuzeanism taken care their usage of his specialized work does him justice? Few exponents of postcolonial and subaltern theories now dispute the influence that Deleuze's work exerted on the intellectuals and theorists who developed those theories. However, this book contends that postcolonial and subaltern theorists have engaged with Deleuzean thought in ways that have perhaps produced a long series of misunderstandings – for which Deleuze himself is not responsible. By engaging with recent innovations in North African culture and by examining the dissemination of Deleuze's identities across a broad range of postcolonial theory, Réda Bensmaïa shows that the 'encounter' between Deleuze and the postcolonial movement can only be understood through the idea of a 'transcendental' field, in which Deleuze and his postcolonial followers find themselves captured.

Chaos, Territory, Art

Deleuze and the Framing of the Earth

Author: Elizabeth A. Grosz

Publisher: Columbia University Press

ISBN: 9780231145183

Category: Art

Page: 116

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Instead of treating art as a unique creation that requires reason and refined taste to appreciate, Elizabeth Grosz argues that art-especially architecture, music, and painting-is born from the disruptive forces of sexual selection. She approaches art as a form of erotic expression connecting sensory richness with primal desire, and in doing so, finds that the meaning of art comes from the intensities and sensations it inspires, not just its intention and aesthetic. By regarding our most cultured human accomplishments as the result of the excessive, nonfunctional forces of sexual attraction and seduction, Grosz encourages us to see art as a kind of bodily enhancement or mode of sensation enabling living bodies to experience and transform the universe. Art can be understood as a way for bodies to augment themselves and their capacity for perception and affection-a way to grow and evolve through sensation. Through this framework, which knits together the theories of Charles Darwin, Henri Bergson, Gilles Deleuze, Félix Guattari, and Jakob von Uexküll, we are able to grasp art's deep animal lineage. Grosz argues that art is not tied to the predictable and known but to new futures not contained in the present. Its animal affiliations ensure that art is intensely political and charged with the creation of new worlds and new forms of living. According to Grosz, art is the way in which life experiments with materiality, or nature, in order to bring about change.

Signature of the World

'What is Deleuze and Guattari's Philosophy?

Author: Eric Alliez

Publisher: A&C Black

ISBN: 1847142443

Category: Philosophy

Page: 152

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The Signature of the World focuses on one of the most influential works of contemporary philosophy: What is Philosophy? by Gilles Deleuze and Felix Guattari, their last joint work after Anti-Oedipus and A Thousand Plateaus. It sets What is Philosophy? in the context of earlier work by the two thinkers and, in a manner sure to challenge and provoke, juxtaposes it to the work of both analytic philosophers and continental phenomenologists. Alliez explores the distinctive theory of thought put forth by Deleuze & Guattari from a series of angles, delving into their revolutionary, Spinozist treatment of the history of philosophy, elucidating their engagement with the metaphysics of current research programmes in the sciences and delineating their invention of a 'material meta-aesthetics' capable of responding to the most radical experiments in contemporary art. Much recent philosophy has revelled in declaring the end of metaphysics, of ontology, and sometimes of philosophy itself. In sharp contrast, The Signature of the World is a forceful reminder of the power of ontology and the need for a materialist reinvention of metaphysics. The Signature of the World is here accompanied by two appendices, 'Deleuze Virtual Philosophy' and 'On the Philosophy of Gilles Deleuze: An Introduction to (the) Matter', as well as a preface by Alberto Toscano.

Philosophy at the Edge of Chaos

Gilles Deleuze and the Philosophy of Difference

Author: Jeffrey A. Bell

Publisher: University of Toronto Press

ISBN: 0802094090

Category: Philosophy

Page: 292

View: 6849

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From the early 1960s until his death, French philosopher Gilles Deleuze (1925-1995) wrote many influential works on philosophy, literature, film, and fine art. One of Deleuze's main philosophical projects was a systematic inversion of the traditional relationship between identity and difference. This Deleuzian philosophy of difference is the subject of Jeffrey A. Bell's Philosophy at the Edge of Chaos. Bell argues that Deleuze's efforts to develop a philosophy of difference are best understood by exploring both Deleuze's claim to be a Spinozist, and Nietzsche's claim to have found in Spinoza an important precursor. Beginning with an analysis of these claims, Bell shows how Deleuze extends and transforms concepts at work in Spinoza and Nietzsche to produce a philosophy of difference that promotes and, in fact, exemplifies the notions of dynamic systems and complexity theory. With these concepts at work, Deleuze constructs a philosophical approach that avoids many of the difficulties that linger in other attempts to think about difference. Bell uses close readings of Plato, Aristotle, Spinoza, Nietzsche, Heidegger, Derrida, and Whitehead to illustrate how Deleuze's philosophy is successful in this regard and to demonstrate the importance of the historical tradition for Deleuze. Far from being a philosopher who turns his back on what is taken to be a mistaken metaphysical tradition, Bell argues that Deleuze is best understood as a thinker who endeavoured to continue the work of traditional metaphysics and philosophy.