Beyond Recognition: Badiou’s Mathematics of Bodily Incorporation

Authors

  • Norman Madarasz Porto Alegre, Brazil

DOI:

https://doi.org/10.3986/fv.41.2.11

Keywords:

ontology, objective phenomenology, body of truth, category theory, topos theory

Abstract

In Being and Event, Alain Badiou disconnects the infinite from the One and the Absolute, thus recasting the basis from which to craft a new theory of generic subject, the existence of which is demonstrated through set theory. In Logics of Worlds, Badiou turns his attention to the modes by which this subject appears in a world. It does so by being incorporated as a subjectivizable body, a body of truth. As opposed to Being and Event, the demonstration of this argument takes shape according to two distinct levels, that of a “calculated phenomenology” and that of a formalism in which category theory provides a general logic, the combination of which delineates an “onto-logic”. In this essay, we trace Badiou’s derivation of the notion of body of truth and evaluate the innovative phenomenological methodology applied to explain its association with a world.

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References

Badiou, Alain, Being and Event, trans. Oliver Feltham, Continuum Books, London and

New York 2005

— Briefings on Existence. A Short Treatise on Transitory Ontology, trans. ed. Norman Madaras,

State University of New York Press, Albany, NY 2006

— Conditions, trans. Steven Corcoran, Continuum, London 2009- Le Concept de Modèle.

Introduction à une Épistémologie Matérialiste des Mathématiques, Fayard, Paris 1969

— Court traité d’ontologie transitoire, Seuil, Paris 1998

— Deleuze, “la clamour de l’Être”, Hachettes, Paris 1997

— Entretien avec Peter Engelman, Quel communisme?, Bayard, Paris 2015

— Ethics. An Essay on the Understanding of Evil, trans. and intro. Peter Hallward, Verso,

New York 2001

— La Tétralogie d’Ahmed, Actes Sud, Arles 2010

— L’Être et l’événement, Seuil, Paris 1988

— L’Éthique. Essai sur la conscience du mal, Hatier, Paris 1993

— L’Immanence des vérités. L’Être et l’événement 3, Fayard/Ouvertures, Paris 2018

— Le Nombre et les nombres, Gallimard, Paris 1990

— Logiques des mondes. L’Être et l’événement 2, Éditions du Seuil, Paris 2006

— Manifeste pour la philosophie, Paris, Seuil 1989

— Manifesto for philosophy, followed by two essays, ed. and trans. Norman Madarasz,

State University of New Press, Albany, NY 1999

— “Mathematics and philosophy”, in Virtual Mathematics, ed. Simon Duffy, pp. 12-30,

Clinamen Press, New York 2006

— Mathematics of the Transcendental, trans. and ed. A.J. Bartlett and Alex Ling. Bloomsbury

Press, London 2014

— Para uma nova teoria do sujeito, Editora Relume Dumará, São Paulo 1994

— Second Manifeste pour la philosophie, Fayard/Ouvertures, Paris 2009

— Théorie du Sujet, Paris, Seuil 1982

Badiou, Alain and F. Tarby, Philosophy and the Event, trans. L. Burchill, Polity Press,

Cambridge, UK 2013

Badiou Alain and Gilles Haéri, Éloge des mathématiques, Flammarion, Paris 2015

Balibar, Étienne, “Le Structuralisme : une Destitution du sujet?”, Revue de métaphysique

et de morale 45 (1/2005), pp. 5–22.

Burhanuddin, Baki, Badiou’s Being and Event and the Mathematics of Set Theory, Bloomsbury,

London 2015

Barwise, Jon and Lawrence Moss, Vicious Circles: on the Mathematics of Non-Wellfounded

Phenomena, CSLI, Stanford, CA 1996

Cantor, Georg, “Foundations of a General Theory of Manifolds: A Mathematico-Philosophical

Investigation into the Theory of the Infinite” [1883], trans. William Ewald, in

From Kant to Hilbert: A Source Book in the Foundations of Mathematics, Volume II.,

ed. Ewald, Oxford University Press, Oxford 1996

— Contributions to the Founding of the Theory of Transfinite Numbers, trans. Philip Jourdain,

Dover, London 1915

Carmello, Olivia, Theories, Sites, Toposes. Relating and Studying Mathematical Theories

through Topos-Theoretic Bridges, Oxford University Press, Oxford 2018

Cohen, P. J., “The Independence of the Continuum Hypothesis”, Proceedings of the National

Academy of Sciences of the United States of America 50 (6/1963), pp. 1143–1148

— Proceedings of the National Academy of Sciences of the United States of America 51

(1/1964), pp. 105–110.

Constantinou Marios and Norman Madarasz, “Being and Spatialization: an interview

with Alain Badiou”, Environment and Planning D: Society and Space 27 (2009), pp.

–795

Desanti, Jean-Toussaint, “Quelques remarques à propos de l’ontologie intrinsèque

d’Alain Badiou”, Les Temps Modernes (526/1990), pp. 61–71

Fraser, Zachary, “The Law of the Subject: Alain Badiou, Luitzen Brouwer and the Kripkean

Analyses of Forcing and the Heyting Calculus”, The Journal of Natural and Social

Philosophy 2 (1-2/2006), pp. 94–133

Gödel, Kurt, “What is Cantor’s Continuum Problem?”, in Kurt Gödel: Collected Works,

vol II., ed. Solomon Feferman, et. al., pp. 1938–1974, Oxford University Press, New

York 1995

— “The Consistency of the Axiom of Choice and the Generalized Continuum Hypothesis”,

Proceedings of the national academy of sciences of the U.S.A. 24 (1938), pp.

–557

Grattan-Guinness, I., The Search for Mathematical Roots. (1870–1940): Logic, Set Theories

and Foundations of Mathematics from Cantor through Russell to Gödel, Princeton University

Press, Princeton, NJ 2000

Grothendieck, Alexandre, Récoltes et Semailles, Université des Sciences et Techniques du

Languedoc, Montpellier 1985–1987

Hallward, Peter and Knox Peden (eds.), Concept and Form, Verso, New York 2012

Heidegger, Martin, Being and Time, trans. John Macquarrie and Edward Robinson, Harper

and Row, New York 1962

Heller, Michael and W. Hugh Woodin, Infinity: New Research Frontiers, Cambridge University

Press, New York 2011

Hunter, Ian, “Heideggerian Mathematics: Badiou’s Being and Event as Spiritual Pedagogy”,

Representations 134 (Spring 2016), pp. 116–156

Jech, T., Set Theory, Springer-Verlag, Berlin 2003

Lacan, Jacques, Séminaire livre XX: Encore (1972–1973), ed. Jacques-Alain Miller, Editions

du Seuil, Paris 1999

— Autres écrits, Seuil, Paris 2001

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Published

2020-12-31

How to Cite

Madarasz, N. (2020). Beyond Recognition: Badiou’s Mathematics of Bodily Incorporation. Filozofski Vestnik, 41(2). https://doi.org/10.3986/fv.41.2.11

Issue

Section

“Seeing” and “Saying”: Set Theory / Category Theory