I worry this might sound really vulgar and naive, but what if we were to raise certain questions about Badiou’s ontology in relation to the Barber of Seville paradox. Among Badiou’s most famous claims is the thesis that ontology belongs not to philosophy, but rather mathematics. Maths, and, in particular, Cantorian set theory, articulates all that can be said of being qua being. I remember the excitement and pleasure I took in this thesis when I first encountered it in graduate school. Not only did I already have a deep and abiding love of mathematics, but there was also something marvelously perverse in a Continental philosopher championing mathematics. Who can forget the title of Heidegger’s lecture course The Metaphysical Foundations of Logic, his claim that maths doesn’t think, or the generalized hostility towards maths one finds everywhere in Continental philosophy with the notable exception of Deleuze. What could be more contrary to Heidegger’s thesis than the Mathematical Foundations of Ontology? Moreover, in a field of philosophical alternatives dominated by obsessive meditations on the human, the body, language, and power, few things could be as “other-worldly” and inhuman as the elevation of humble mathematics… A humility that paradoxically is coupled with the most acrobatic conceptual innovation, daring to think spatial configurations, multiplicities, topologies, and all the rest remote from anything like the “everydayness” we experience in our intuitive relations to the world.
I suppose you could say that I took an impish pleasure in how Badiou must stick in the craw of my fellow Continentalists. I will never forget having coffee with a very well known Continentalist in his own right, my face, words, and gestures animated by my enthusiasm for Badiou like a child having at it with a new toy, only to hear him despairingly say “it’s kinda like analytic philosophy, though.” Kinda, but not quite. Badiou had really hit a symptom at the heart of contemporary Continental thought. Where Derrida and the others were endlessly talking about free play and dissemination, Badiou put his finger on the remarkable univocity of mathematical prescription. But this is not all. Where everyone was endlessly talking about difference, Badiou took this one step further, developing a radical articulation of difference. Many of us had become accustomed, through Heidegger, to thinking of maths as the most extreme form of enframing and identity thinking. What Badiou showed, through his deployment of set theory, was that far from the valorization of identity, maths give us the resources to think multiplicities qua multiplicities without one, or absolute difference and dissemination. Similarly, where many were celebrating the accomplishment of Derrida’s thought and the aporetic undecidables it acquaints us with in every domain, Badiou dared to declare that we must decide the undecidable, and articulated a rigorous account for doing so through his discussions of forcing and the generic with respect to truth-procedures. Indeed, the very fact that he said truth at all, and in such an interesting way, was a shock to the system within that intellectual context.
Yes, Badiou had hit a symptom. For those of us who had cut our teeth on the intricacies of Lacan and thinkers such as Laclau, reading these figures in the happy days following the advent of the beautiful work of Zizek and Fink where Lacanian thought had been freed from the endless rut of the imaginary and cinematic accounts of suture, where the late Lacan was finally, slowly, so slowly, becoming readily available, and who were already acquainted with the intellectual atheleticism required by set theory, topology, and all the rest, Badiou arrived at just the right time and just the right moment. Badiou arrived as the philosopher of these formalisms. Those of us intoxicated by Lacan and Zizek, worried, as philosophers, at how we might escape the rut of literary and cultural criticism. The question that haunted the time was that of how psychoanalysis might be put to use philosophically. Badiou provided precisely the answer to this question, not by virtue of being a psychoanalytic thinker, but by mobilizing all of these set theoretical and topological structures we had been exploring in Lacan but with respect to questions of ontology, ethics, and politics. And above all, Badiou arrived at a moment where interpretation, philosophy as interpretation, had largely exhausted its potency, becoming a dreary and oppressive activity, appearing daily to be more a way of insuring that everything remain in place and that the tradition be preserved against any and all change. The potency of Badiou lay not so much in his explicit declarations and theses, as in his invitation to think again and his reminder of what philosophy ought to be. Indeed, he went so far as to denounce doxa. Who, in our Protagorean age, in our age dominated by simulacra of Gorgias, in our age where rhetoric had come to trump philosophy (i.e., the triumph and primacy of ethos or local custom over logos), had dared denounce doxa? Badiou did.
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