This thesis offers a naturalist revision of Alain Badiou’s philosophy. This goal is pursued through an encounter of Badiou’s mathematical ontology and theory of truth with contemporary trends in philosophy of mathematics and philosophy of science. I take issue with Badiou’s inability to elucidate the link between the empirical and the ontological, and his residual reliance on a Heideggerian project of fundamental ontology, which undermines his own immanentist principles. I will argue for both a bottom-up naturalisation of Badiou’s philosophical approach (...) to mathematics and a top-down naturalisation. Articulating my particular understanding of what realism and naturalism should commit us to, I propose a creative fusion of Badiou’s attention to metamathematical results with a structural-informational metaphysics, proposing a ‘matherialism’ uniting the more daring speculative insights of the former with the naturalist and empiricist commitments motivating the latter. (shrink)

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)

This dissertation traces the post-Marxist and materialist positions of two leading contemporary European thinkers: Slavoj Zizek and Alain Badiou. These thinkers, I argue, collectively offer a way between the traditional Hegelian Marxist's overarching meta-narrative of a necessary evolution from worse to better, and the post-modern pessimism of a lack of possibility for such a social evolution. It is this middle path, offered by these two thinkers, that this dissertation seeks to explore and further explain. The focal point of this dissertation (...) is the type of philosophical materialism that is collectively offered by Badiou and Zizek, what I call the "New Materialism." I first explain the origins of this materialist position as it emerges in the thought of Louis Althusser, then I discuss how Badiou and Zizek, each in their own way, seek to correct the remaining problems that exist for the Althusserian position, while refusing to reject its core materialist insights. Finally, I assess the ways in which both Badiou and Zizek attempt to overcome the Althusserian problems, arguing that ultimately Zizek's corrective succeeds in remaining within the materialist paradigm laid out by Althusser, whereas Badiou's method brings him dangerously close to a kind of philosophical idealism that he wishes to avoid. (shrink)

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)

(2013). A MATERIALIST TRANSCENDENTAL: on the onto-logy of logics of worlds. Angelaki: Vol. 18, No. 2, pp. 143-159.