Arsalan Reihanzadeh (ZRC SAZU)



Mathème et/ou lalangue: Philosophy, Sophistry, and the Infinite Judgment


Given Badiou’s and Cassin’s “staging” of the two extremes of L’Étourdit, namely mathème and lalangue, it seems that any interpretation of Lacan is destined to reach the antinomy of these two terms. But is this really the case? (1) First, the focus lies on mathème as that which enables the conjunction of propositions spanning science, mathematics, and philosophy and ensures the “integral transmissibility” of knowledge by aspiring to the paradigm of formalization. Hence, Lacan as philosopher. (2) Second, the focus is drawn to lalangue as a dimension of language independent from grammar, serving as a milieu where “what is heard is refracted in what is said”: unapproachable, it may seem, from the view of logic. Here, Lacan as sophist. (3) Third, I argue that since there exists no common ground between mathème and lalangue, it is impossible to favor one over the other: they constitute an “infinite judgment”.