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. (shrink)

In this essay we explore extensive modes of enactive engagement among humans, physical and computational media richer than the modes represented by classical notions of interaction and relation. We make use of a radically material and a potential-theoretic account of event to re-conceive ad hoc, non-pre-schematized activity in responsive environments. We can regard such activity as sense-making via dehomogenization of material that co-articulates subjects and objects.

This article offers a reading of the “transcendental” character of Alain Badiou’s and Giorgio Agamben’s ontologies. While neither Badiou nor Agamben are “transcendental” philosophers in the Kantian sense, this article argues that their respective projects of ontology both recover aspects of the “classical” conception of the transcendentals. Not unlike how pre-modern philosophers conceived of oneness, truth and goodness as transcendental properties of all things, both Badiou’s and Agamben’s ontologies present various structures which can be universally predicated of all being. However, (...) as opposed to the essentialist or even theological tendencies of traditional metaphysics, Badiou’s and Agamben’s ontologies are committedly “inessential” and atheistic at their very core. By replacing the divine names of the one, the true and the good in traditional metaphysics with a new yet quasi-classical transcendental notion of “the void” as a universal predicate of all beings, Badiou’s and Agamben’s works may be regarded as projects that go beyond both the pre-Kantian “theological” and the post-Kantian “subjective” conceptions of transcendental philosophy, thereby marking a new development in the history of western metaphysics. (shrink)