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Open Philosophy

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Negation, Structure, Transformation: Alain Badiou and the New Metaphysics

Becky Vartabedian
Published Online: 2018-09-14 | DOI: https://doi.org/10.1515/opphil-2018-0015

Abstract

In this article, I discuss Alain Badiou’s 2008 address titled “The Three Negations.” Though the text was originally presented in a symposium concerning the relationship of law to Badiou’s theory of the event, I discuss the way this brief address offers an introduction to the broad sweep of Badiou’s metaphysics, outlining his accounts of being, appearing, and transformation. To do so, Badiou calls on the resources of three paradigms of negation: from classical Aristotelian logic, from Brouwer’s intuitionist logic, and in paraconsistent logics developed by DaCosta. I explain Badiou’s use of negation in the three primary areas of his metaphysics, as well as to diagnose the degrees of transformation that may have occurred in a situation. My analysis of Badiou’s use of negation in this text is aided by examples from his broader ontological oeuvre. I also explain the underlying requirement in Badiou’s work that formal considerations - mathematical or logical - get their sense by being tethered to readily-identifiable political, aesthetic, scientific, or interpersonal concerns. I conclude by addressing the foundation Badiou’s work establishes for pursuing a new metaphysics, and by discussing certain of the liabilities that remain in the wake of his account.

Keywords: Alain Badiou; Aristotle; event; intuitionist logic; paraconsistent logic; law; Newton DaCosta; ontology; Markus Gabriel; negation; analytic/continental divide

References

  • Aristotle. Metaphysics. Translated by W.D. Ross. In The Complete Works of Aristotle, Volume 2: 1552-1728. Edited by Jonathan Barnes. Princeton, NJ: Princeton University Press, 1984.Google Scholar

  • Badiou, Alain. Being and Event. Translated by Oliver Feltham. London: Continuum, 2005.Google Scholar

  • Badiou, Alain. “The Three Negations.” Cardozo Law Review 29.5 (2008): 1877-883.Google Scholar

  • Badiou, Alain. Logics of Worlds. Translated by Alberto Toscano. London: Continuum, 2009.Google Scholar

  • Badiou, Alain. and Gilles Haéri. In Praise of Mathematics. Translated by Susan Spitzer. Malden, Mass.: Polity, 2016.Google Scholar

  • Cusset, François. French Theory: How Foucault, Derrida, Deleuze & Co. Transformed the Intellectual Life of the United States. Minneapolis, MN: University of Minnesota Press, 2008.Google Scholar

  • DaCosta, Newton, Jean-Yves Béziau, and Otávio A. S. Bueno. “Aspects of Paraconsistent Logic.” Bulletin of the IGPL, vol. 3, no. 4 (1995): 597-614.Google Scholar

  • Fraser, Zachary. “The Law of the Subject: Alain Badiou, Luitzen Brouwer and the Kripkean Analyses of Forcing and the Heyting Calculus.” Cosmos and History: the Journal of Natural and Social Philosophy 2:1-2 (2006): 94-133.Google Scholar

  • Gabriel, Markus. Fields of Sense: A New Realist Ontology. Edinburgh: Edinburgh University Press, 2015.Google Scholar

  • Gironi, Fabio. Naturalizing Badiou: Mathematical Ontology and Structural Realism. London: Palgrave Macmillan, 2015.Google Scholar

  • Goodrich, Peter. “Symposium Law and Event Preface: (On Alain Badiou’s Handwriting).” Cardozo Law Review 29.5 (2008): 1867-1875.Google Scholar

  • Johnston, Adrian. “Phantom of consistency: Alain Badiou and Kantian transcendental idealism,” in Continental Philosophy Review 41 (2008): 345-366. DOI 10.1007/s11007-008-9086-5.Web of ScienceCrossrefGoogle Scholar

  • Moore, Adrian. The Evolution of Modern Metaphysics: Making Sense of Things. Cambridge, UK: Cambridge University Press, 2012.Google Scholar

  • Nirenberg, Ricardo L. and David Nirenberg. “Badiou’s Number: A Critique of Mathematics as Ontology.” Critical Inquiry 37:4 (Summer 2011): 583-614. DOI 10.1086/660983.CrossrefGoogle Scholar

  • Noys, Benjamin. “On the Edge of the Negative: Badiou.” In The Persistence of the Negative: A critique of Contemporary Continental Theory: 134-159. Edinburgh: Edinburgh University Press, 2010.Google Scholar

  • Pfeifer, Geoffrey. The New Materialism: Althusser, Badiou and Žižek. London: Routledge, 2015.Google Scholar

  • Ruda, Frank. “Working Through: What Is Your Dialectics?” In For Badiou: Idealism Without Idealism: 60-68. Evanston, IL: Northwestern University Press, 2015.Google Scholar

  • Vartabedian, Becky. Multiplicity and Ontology in Deleuze and Badiou. London: Palgrave Macmillan, 2018.Google Scholar

About the article

Received: 2018-06-17

Accepted: 2018-08-23

Published Online: 2018-09-14


Citation Information: Open Philosophy, Volume 1, Issue 1, Pages 213–222, ISSN (Online) 2543-8875, DOI: https://doi.org/10.1515/opphil-2018-0015.

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© by Becky Vartabedian, published by De Gruyter. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License. BY-NC-ND 4.0

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