This chapter begins by developing an account of subtraction in Badiou’s ontological work parallel to the n-1 procedure operative in Deleuze and Guattari’s work; unlike the “special” subtraction associated with truth procedures (outlined in the Gamma Diagram), Badiou’s account also harbors a ‘general’ subtraction, largely continuous with the procedure Deleuze and Guattari describe as a mode of maintenance. I point out the success of this general subtraction’s functioning in Badiou’s well-defined ontological context and its liabilities when applied to a meta-ontological context. It is in light of this continuity over subtraction that I then return to the original engagements outlined in Chapter 2—the political, conceptual and martial connections I laid out there—from the far side of my analysis of multiplicity, multiple, and one in Badiou’s and Deleuze’s work.
- Badiou, Alain.  2004. “Kant’s Subtractive Ontology.” In Theoretical Writings, edited and translated by Ray Brassier and Alberto Toscano, 137–144. London: Continuum. (Cited in text as TW)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. (Cited in text as TW).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
- ———. 2008. Conditions. Translated by Steven Corcoran. London: Continuum.Google Scholar
- ———. 2009. Logics of Worlds: Being and Event II. Translated by Alberto Toscano. London: Bloomsbury. Originally Logiques des mondes. Paris: Éditions du Seuil, 2006.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, and Gilles Haéri. 2016. In Praise of Mathematics. Translated by Susan Spitzer. London: Polity. Originally Eloge des mathématiques. Paris: Flammarion, 2015.Google Scholar
- Bartlett, A.J., and Alex Ling. 2014. “Translators’ Introduction: The Categorial Imperative.” In Alain Badiou, Mathematics of the Transcendental, edited and translated by A.J. Bartlett and Alex Ling, 1–10. London: Bloomsbury.Google Scholar
- Bartlett, A.J., and Justin Clemens. 2012. “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. Translated and edited by Bruno Bosteels, vii–lxiii. London: Verso.Google Scholar
- ———. 1995. Negotiations: 1972–1990. Translated by Martin Joughin. New York: Columbia University Press. Originally Pourparlers. Paris: Les Éditions de Minuit, 1990.Google Scholar
- Deleuze, Gilles, and Félix Guattari. 1981. “Rhizome—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
- Dosse, François. 2010. Gilles Deleuze and Félix Guattari: Intersecting Lives. Translated by Deborah Glassman. New York: Columbia University Press. Originally Gilles Deleuze et Félix Guattari, Biographie croisée. Paris: Éditions la Decouverte, 2007.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
- Hair, Lindsey. 2006. “Ontology and Appearing: Documentary Realism as a Mathematical Thought.” In The Praxis of Alain Badiou, edited by Paul Ashton, A.J. Bartlett, and Justin Clemens, 265–290. Melbourne: re.press.Google Scholar
- Heidegger, Martin. 2000. Introduction to Metaphysics, 1st ed. Translated by Gregory Fried and Richard Polt. New Haven, CT: Yale University Press.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 24 July 2015.
- Kant, Immanuel. 1998. Critique of Pure Reason. Translated by Paul Guyer and Allen W. Wood. Cambridge, UK: Cambridge University Press.Google Scholar
- Livingston, Paul. 2011. “Badiou, Mathematics, and Model Theory.” Unpublished. Available online: https://www.unm.edu/~pmliving/Badiou,%20Mathematics,%20and%20Model%20Theory.pdf. Accessed 18 October 2011.
- Livingston, Paul. 2012. The Politics of Logic. London: Routledge.Google Scholar
- Olson, Michael. 2009. “Transcendental Idealism, Deleuze and Guattari, and the Metaphysics of Objects.” In Thinking Between Deleuze and Kant: A Strange Encounter, edited by Edward Willatt and Matt Lee, 151–170. London: Continuum.Google Scholar
- Pfeifer, Geoffrey. 2015. The New Materialism: Althusser, Badiou and Žižek. London: Routledge.Google Scholar
- Power, Nina, and Alberto Toscano. 2009. “Alain Badiou and the Enemies of May.” Boundary 2 36 (1): 27–46. https://doi.org/10.1215/01903659-200-022. Accessed 3 April 2014.
- 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
- Žižek, Slavoj. 2004. “From Purification to Subtraction: Badiou and the Real.” In Think Again: Alain Badiou and the Future of Philosophy, edited by Peter Hallward, 165–181. London: Continuum.Google Scholar