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Book Deleuze and the History of Mathematics

Download or read book Deleuze and the History of Mathematics written by Simon Duffy and published by A&C Black. This book was released on 2013-05-09 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 provide 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 B.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 seemingly incompatible engagements with mathematics, Duffy succeeds in presenting a solid foundation for Deleuze's philosophy, rebuffing the recent challenges against it.

Book Deleuze  Mathematics  Metaphysics

Download or read book Deleuze Mathematics Metaphysics written by Michael J.Ardoline and published by Edinburgh University Press. This book was released on 2024-09-30 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deleuze, Mathematics, Metaphysics provides new solutions to the central problems of the philosophy of mathematics by reconstructing Deleuze’s metaphysics. It does so through direct engagement with analytic and continental philosophy, along with the formal and natural sciences. These new Deleuzian solutions reject equally other-worldly accounts of mathematics, such as Platonism, and accounts which treat mathematics as a useful fiction or an empty formalist game. Instead, Deleuze, Mathematics, Metaphysics argues that mathematical truth is grounded in the necessity of difference itself. Since difference is entirely this-worldly, the truth of mathematics does not require us to posit the reality of transcendent entities or possible worlds. Doing so not only provides a new metaphysics of mathematics; it also explains the usefulness of mathematics for science and why mathematical truth appear to have such otherworldly properties in the first place.

Book Dispositionalism

    Book Details:
  • Author : Anne Sophie Meincke
  • Publisher : Springer Nature
  • Release : 2020-04-08
  • ISBN : 303028722X
  • Pages : 248 pages

Download or read book Dispositionalism written by Anne Sophie Meincke and published by Springer Nature. This book was released on 2020-04-08 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: According to dispositional realism, or dispositionalism, the entities inhabiting our world possess irreducibly dispositional properties – often called ‘powers’ – by means of which they are sources of change. Dispositionalism has become increasingly popular among metaphysicians in the last three decades as it offers a realist account of causation and provides novel avenues for understanding modality, laws of nature, agency, free will and other key concepts in metaphysics. At the same time, it is receiving growing interest among philosophers of science. This reflects the substantial role scientific findings play in arguments for dispositionalism which, as a metaphysics of science, aims to unveil the very foundations of science. The present collection of essays brings together both strands of interest. It elucidates the ontological profile of dispositionalism by exploring its ontological commitments, and it discusses these from the perspective of the philosophy of science. The essays are written by both proponents of dispositionalism and sceptics so as to initiate an open-minded, constructive dialogue.

Book Gilles Deleuze and Metaphysics

Download or read book Gilles Deleuze and Metaphysics written by Alain Beaulieu and published by Lexington Books. This book was released on 2014-12-24 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deleuze remains indifferent to the ambient pathos related to the end of metaphysics and compares the undertakings of destruction, overcoming and deconstruction of metaphysics with the gestures of murderers. He considers himself “a pure metaphysician,” which is rather unique in the contemporary philosophical landscape. What are we to make of this and similar claims? What do they mean in light of the effort made during the last several centuries to overcome, overturn, destroy, or deconstruct metaphysics? If we consider Deleuze’s work more closely, might find him engaging in the kind of thinking that is commonly referred to as metaphysical? And if Deleuze is indeed a metaphysician, does this undercut the many insightful contributions of the twentieth century philosophers who dedicate their thought to bringing down Western metaphysical tradition? Or does it suggest that there is a sense of metaphysics that should nevertheless be preserved? These and similar questions are addressed in this volume by a series of international scholars. The goal of the book is to critically engage an aspect of Deleuze’s thought that, for the most part, has been neglected, and to understand better his “immanent metaphysics.” It also seeks to explore the consequences of such an engagement.

Book Gilles Deleuze s Difference and Repetition

Download or read book Gilles Deleuze s Difference and Repetition written by James Williams and published by Edinburgh University Press. This book was released on 2013-01-31 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new edition of this introduction to Deleuze's seminal work, Difference and Repetition, with new material on intensity, science and action and new engagements with Bryant, Sauvagnargues, Smith, Somers-Hall and de Beistegui.

Book Diagrammatic Immanence

    Book Details:
  • Author : Rocco Gangle
  • Publisher : Edinburgh University Press
  • Release : 2016-08-18
  • ISBN : 1474404200
  • Pages : 264 pages

Download or read book Diagrammatic Immanence written by Rocco Gangle and published by Edinburgh University Press. This book was released on 2016-08-18 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: A renewal of immanent metaphysics through diagrammatic methods and the tools of category theorySpinoza, Peirce and Deleuze are, in different ways, philosophers of immanence. Rocco Gangle addresses the methodological questions raised by a commitment to immanence in terms of how diagrams may be used both as tools and as objects of philosophical investigation. He integrates insights from Spinozist metaphysics, Peircean semiotics and Deleuzes philosophy of difference in conjunction with the formal operations of category theory. Category theory reveals deep structural connections among logic, topology and a variety of different areas of mathematics, and it provides constructive and rigorous concepts for investigating how diagrams work. Gangle introduces the methods of category theory from a philosophical and diagrammatic perspective, allowing philosophers with little or no mathematical training to come to grips with this important field. This coordination of immanent metaphysics, diagrammatic method and category theoretical mathematics opens a new horizon for contemporary thought.

Book The Fold

    Book Details:
  • Author : Gilles Deleuze
  • Publisher : A&C Black
  • Release : 2006-05-16
  • ISBN : 082649076X
  • Pages : 219 pages

Download or read book The Fold written by Gilles Deleuze and published by A&C Black. This book was released on 2006-05-16 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: >

Book Badiou s Being and Event and the Mathematics of Set Theory

Download or read book Badiou s Being and Event and the Mathematics of Set Theory written by Burhanuddin Baki and published by Bloomsbury Publishing. This book was released on 2014-11-20 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Alain Badiou's Being and Event continues to impact philosophical investigations into the question of Being. By exploring the central role set theory plays in this influential work, Burhanuddin Baki presents the first extended study of Badiou's use of mathematics in Being and Event. Adopting a clear, straightforward approach, Baki gathers together and explains the technical details of the relevant high-level mathematics in Being and Event. He examines Badiou's philosophical framework in close detail, showing exactly how it is 'conditioned' by the technical mathematics. Clarifying the relevant details of Badiou's mathematics, Baki looks at the four core topics Badiou employs from set theory: the formal axiomatic system of ZFC; cardinal and ordinal numbers; Kurt Gödel's concept of constructability; and Cohen's technique of forcing. Baki then rebuilds Badiou's philosophical meditations in relation to their conditioning by the mathematics, paying particular attention to Cohen's forcing, which informs Badiou's analysis of the event. Providing valuable insights into Badiou's philosophy of mathematics, Badiou's Being and Event and the Mathematics of Set Theory offers an excellent commentary and a new reading of Badiou's most complex and important work.

Book Deleuze s Philosophical Lineage

Download or read book Deleuze s Philosophical Lineage written by Graham Jones and published by Edinburgh University Press. This book was released on 2009-03-31 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: The philosophy of Gilles Deleuze is increasingly gaining the prestige that its astonishing inventiveness calls for in the Anglo-American theoretical context. His wide-ranging works on the history of philosophy, cinema, painting, literature and politics are being taken up and put to work across disciplinary divides and in interesting and surprising ways. However, the backbone of Deleuze's philosophy - the many and varied sources from which he draws the material for his conceptual innovation - has until now remained relatively obscure and unexplored. This book takes as its goal the examination of this rich theoretical background. Presenting essays by a range of the world's foremost Deleuze scholars, and a number of up and coming theorists of his work, the book is composed of in-depth analyses of the key figures in Deleuze's lineage whose significance - as a result of either their obscurity or the complexity of their place in the Deleuzean text - has not previously been well understood. This work will prove indispensable to students and scholars seeking to understand the context from which Deleuze's ideas emerge.Included are essays on Deleuze's relationship to figures as varied as Marx, Simondon, Wronski, Hegel, Hume, Maimon, Ruyer, Kant, Heidegger, Husserl, Reimann, Leibniz, Bergson and Freud.

Book The Logic of Expression

Download or read book The Logic of Expression written by Simon Duffy and published by Routledge. This book was released on 2016-12-05 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engaging with the challenging and controversial reading of Spinoza presented by Gilles Deleuze in Expressionism in Philosophy (1968), this book focuses on Deleuze's redeployment of Spinozist concepts within the context of his own philosophical project of constructing a philosophy of difference as an alternative to the Hegelian dialectical philosophy. Duffy demonstrates that a thorough understanding of Deleuze's Spinozism is necessary in order to fully engage with Deleuze's philosophy of difference.

Book The Hermetic Deleuze

Download or read book The Hermetic Deleuze written by Joshua Ramey and published by Duke University Press. This book was released on 2012-08-20 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, Joshua Ramey examines the extent to which Gilles Deleuze's ethics, metaphysics, and politics were informed by, and can only be fully understood through, this hermetic tradition.

Book Hegel and Deleuze

    Book Details:
  • Author : Karen Houle
  • Publisher : Northwestern University Press
  • Release : 2013-06-30
  • ISBN : 0810166534
  • Pages : 282 pages

Download or read book Hegel and Deleuze written by Karen Houle and published by Northwestern University Press. This book was released on 2013-06-30 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hegel and Deleuze cannily examines the various resonances and dissonances between these two major philosophers. The collection represents the best in contemporary international scholarship on G. W. F. Hegel and Gilles Deleuze, and the contributing authors inhabit the as-yet uncharted space between the two thinkers, collectively addressing most of the major tensions and resonances between their ideas and laying a solid ground for future scholarship. The essays are organized thematically into two groups: those that maintain a firm but nuanced disjunction or opposition between Hegel and Deleuze, and those that chart possible connections, syntheses, or both. As is clear from this range of texts, the challenges involved in grasping, appraising, appropriating, and developing the systems of Deleuze and Hegel are varied and immense. While neither Hegel nor Deleuze gets the last word, the contributors ably demonstrate that partisans of either can no longer ignore the voice of the other.

Book Deleuze and the History of Mathematics

Download or read book Deleuze and the History of Mathematics written by Simon Duffy and published by Bloomsbury Publishing. This book was released on 2013-05-09 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 provide 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 B.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 seemingly incompatible engagements with mathematics, Duffy succeeds in presenting a solid foundation for Deleuze's philosophy, rebuffing the recent challenges against it.

Book On Logic and the Theory of Science

Download or read book On Logic and the Theory of Science written by Jean Cavailles and published by MIT Press. This book was released on 2021-04-27 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new translation of the final work of French philosopher Jean Cavaillès. In this short, dense essay, Jean Cavaillès evaluates philosophical efforts to determine the origin—logical or ontological—of scientific thought, arguing that, rather than seeking to found science in original intentional acts, a priori meanings, or foundational logical relations, any adequate theory must involve a history of the concept. Cavaillès insists on a historical epistemology that is conceptual rather than phenomenological, and a logic that is dialectical rather than transcendental. His famous call (cited by Foucault) to abandon "a philosophy of consciousness" for "a philosophy of the concept" was crucial in displacing the focus of philosophical enquiry from aprioristic foundations toward structural historical shifts in the conceptual fabric. This new translation of Cavaillès's final work, written in 1942 during his imprisonment for Resistance activities, presents an opportunity to reencounter an original and lucid thinker. Cavaillès's subtle adjudication between positivistic claims that science has no need of philosophy, and philosophers' obstinate disregard for actual scientific events, speaks to a dilemma that remains pertinent for us today. His affirmation of the authority of scientific thinking combined with his commitment to conceptual creation yields a radical defense of the freedom of thought and the possibility of the new.

Book Synthetic Philosophy of Contemporary Mathematics

Download or read book Synthetic Philosophy of Contemporary Mathematics written by Fernando Zalamea and published by National Geographic Books. This book was released on 2012-09-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Conditions of Thought

    Book Details:
  • Author : Daniela Voss
  • Publisher : Edinburgh University Press
  • Release : 2013-05-20
  • ISBN : 0748676260
  • Pages : 296 pages

Download or read book Conditions of Thought written by Daniela Voss and published by Edinburgh University Press. This book was released on 2013-05-20 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analyses Deleuze's notion of transcendental and genetic Ideas as conditions of creative thought. From his early work in 'Nietzsche and Philosophy' to 'Difference and Repetition', Deleuze develops a unique notion of transcendental philosophy. It comprises a radical critique of the illusions of representation and a genetic model of thought.Engaging with questions of representation, Ideas and the transcendental, Daniela Voss offers a sophisticated treatment of the Kantian aspects of Deleuze's thought, taking account of Leibniz, Maimon, Lautman and Nietzsche along the way.

Book Deleuze Lucretius Encounter

Download or read book Deleuze Lucretius Encounter written by Ryan J. Johnson and published by Edinburgh University Press. This book was released on 2016-12-05 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: More than any other 20th-century philosopher, Deleuze considers himself an apprentice to the history of philosophy. But scholarship has ignored one of the more formative influences on Deleuze: Lucretian atomism. Deleuze's encounter with Lucretius sparked a way of thinking that resonates throughout all his writings: from immanent ontology to affirmative ethics, from dynamic materialism to the generation of thought itself. Filling a significant gap in Deleuze Studies, Ryan J. Johnson tells the story of the Deleuze-Lucretius encounter that begins and ends with a powerful claim: Lucretian atomism produced Deleuzianism.