Introduction: Lower Layers
This chapter orients the reader to the ideas of multiplicity in Badiou’s and Deleuze’s work, and to the ontological paradigms these ideas support. I acknowledge a conceptual debt both programs owe to precedent uses of Mannigfaltigkeit (manifold, multiple), particularly in Kant’s discussion of the manifold in the Critique of Pure Reason. This chapter also presents my method for slow comparison—allowing the programs to be articulated on their own terms before turning to any critique—as facilitated by this moment in reflection on the debate; I also show that my own method is an alternative to the paradigm of martial opposition that characterizes much of the conversation so far. I conclude by offering a plan of the text.
- Badiou, Alain. 2000. Deleuze: The Clamor of Being. Translated by Louise Burchill. Theory Out of Bounds Series. Minneapolis, MN: University of Minnesota Press. Originally Deleuze: la clameur de l’être. Paris: Hachette, 1997. (Cited in text as DCB)Google Scholar
- ———.  2004. “One, Multiple, Multiplicities.” In Theoretical Writings, edited and translated by Ray Brassier and Alberto Toscano, 67–80. London: Continuum. Originally “Un, multiple, multiplicite(s).” In Multitudes 1 (2000): 195–211.Google Scholar
- ———. 2005. Being and Event. Translated by Oliver Feltham. London: Continuum. Originally L’être et l’événement. Paris: Éditions du Seuil, 1988. (Cited in text as BE)Google Scholar
- ———. 2009a. Logics of Worlds: Being and Event II. Translated by Alberto Toscano. London: Bloomsbury. Originally Logiques des mondes. Paris: Éditions du Seuil, 2006.Google Scholar
- ———. 2009b. Pocket Pantheon: Figures of Postwar Philosophy. Translated by David Macey. London: Verso. Originally Petit Panthéon Portatif. Paris: Éditions la Fabrique, 2008.Google Scholar
- ———. 2009c. Theory of the Subject. Translated and with an Introduction by Bruno Bosteels. London: Continuum. Originally Théorie du sujet. Paris: Éditions du Seuil, 1982. (Cited in text as TS)Google Scholar
- ———. 2012. “The Fascism of the Potato.” In The Adventure of French Philosophy, edited and translated by Bruno Bosteels, 191–201. London: Verso. Originally Georges Peyrol. “Le fascisme de la pomme de terre.” In La situation actuelle sur le front de la philosophie, 42–52. Paris: François Maspero, 1977. (Cited in text as FP)Google Scholar
- Badiou, Alain, A.J. Bartlett, and Justin Clemens. 2012. “I: To Preface the Response to the ‘Criticisms’ of Ricardo Nirenberg and David Nirenberg.” Critical Inquiry 38 (2): 362–364. https://doi.org/10.1086/662746. Accessed 2 August 2012.
- Baki, Burhanuddin. 2015. Badiou’s Being and Event and the Mathematics of Set Theory. London: Continuum.Google Scholar
- Bartlett, A.J., and Justin Clemens. 2012. “Critical Response II: Neither/Nor.” Critical Inquiry 38 (2): 365–380. https://doi.org/10.1086/662747. Accessed 1 September 2013.
- Bosteels, Bruno. 2012. “Translator’s Introduction.” In Alain Badiou, The Adventure of French Philosophy, edited and translated by Bruno Bosteels, vii–lxiii. London: Verso.Google Scholar
- Crockett, Clayton. 2013. Deleuze Beyond Badiou: Ontology, Multiplicity, and Event. New York: Columbia University Press.Google Scholar
- Delanda, Manuel. 2002. Intensive Science and Virtual Philosophy. London: Continuum.Google Scholar
- Deleuze, Gilles. 1984. Kant’s Critical Philosophy: The Doctrine of the Faculties. Translated by Hugh Tomlinson and Barbara Habberjam. Minneapolis, MN: University of Minnesota Press. Originally La Philosophie Critique de Kant. Paris: Presses Universitaires de France, 1963.Google Scholar
- ———. 1991. Bergsonism. Translated by Hugh Tomlinson and Barbara Habberjam. New York: Zone Books. Originally Le Bergsonisme. Paris: Presses Universitaires de France, 1966.Google Scholar
- ———. 1994. Difference and Repetition. Translated by Paul Patton. New York: Columbia University Press. Originally Différence et repetition. Paris: Presses Universitaires de France, 1968. (Cited in text as DR)Google Scholar
- Deleuze, Gilles, and Félix Guattari. 1981. Rhizome: An Introduction. Translated by Paul Patton. I & C 8 (Spring): 49–71. Originally Rhizome: Introduction. Paris: Les Éditions de Minuit, 1976. (Cited in text as R)Google Scholar
- ———. 1987. A Thousand Plateaus. Translated by Brian Massumi. Minneapolis, MN: University of Minnesota Press. Originally Mille Plateaux. Paris: Les Éditions de Minuit, 1980. (Cited in text as TP)Google Scholar
- ———. 1994. What Is Philosophy? Translated by Hugh Tomlinson and Graham Burchell. New York: Columbia University Press. Originally Qu’est-ce que la philosophie? Paris: Les Éditions de Minuit, 1991. (Cited in text as WP)Google Scholar
- Duffy, Simon. 2013. Deleuze and the History of Mathematics: In Defense of the “New”. Bloomsbury Studies in Continental Philosophy Series. London: Bloomsbury.Google Scholar
- Feltham, Oliver. 2008. Alain Badiou: Live Theory. London: Continuum.Google Scholar
- Gillespie, Sam. 2008. The Mathematics of Novelty: Badiou’s Minimalist Metaphysics. Anamnesis. Melbourne: re.press.Google Scholar
- Hallward, Peter. 2003. Badiou: A Subject to Truth. Minneapolis, MN: University of Minnesota Press.Google Scholar
- James, Ian. 2012. The New French Philosophy. London: Polity.Google Scholar
- Johnston, Adrian. 2008. “Phantom of Consistency: Alain Badiou and Kantian Transcendental Idealism.” Continental Philosophy Review 41: 345–366. https://doi.org/10.1007/s11007-008-9086-5. Accessed 10 March 2015.
- Kant, Immanuel. 1998. Critique of Pure Reason. Translated by Paul Guyer and Allen W. Wood. Cambridge, UK: Cambridge University Press. German references are to Kritik der Reinen Vernunft. Leipzig, 1919.Google Scholar
- Maia, M.D. 2011. “The Physical Manifold.” In Geometry of the Fundamental Interactions, 9–24. https://doi.org/10.1007/978-1-4419-8273-5_2. Accessed 6 January 2014.
- Mullarkey, John. 2003. Post-continental Philosophy: An Outline. London: Continuum.Google Scholar
- Nirenberg, Ricardo L., and David Nirenberg. 2011. “Badiou’s Number: A Critique of Mathematics as Ontology.” Critical Inquiry 37 (4): 583–614. https://doi.org/10.1086/660983. Accessed 31 August 2011.
- Pfeifer, Geoffrey. 2015. The New Materialism: Althusser, Badiou and Žižek. London: Routledge.Google Scholar
- Pluth, Ed. 2010. Badiou: A Philosophy of the New. Key Contemporary Thinkers series. London: Polity.Google Scholar
- Roffe, Jon. 2012. Badiou’s Deleuze. Montréal: McGill-Queen’s University Press.Google Scholar
- Smith, Daniel W.  2012. “Mathematics and the Theory of Multiplicities: Badiou and Deleuze Revisited.” In Essays on Deleuze, 287–311. Edinburgh: Edinburgh University Press.Google Scholar
- ———. 2012. “Analytics: On the Becoming of Concepts.” In Essays on Deleuze, 122–145. Edinburgh: Edinburgh University Press.Google Scholar