  In this paper, I present a critical discussion of mathematical arguments
employed in the philosophy of event of Alain Badiou. On the basis of "Being and
Event" as well as his other writings, I analyze the main notions of his
philosophy such as the indiscernible, the undecidable, and the unnameable. The
focus of my analysis is both on their mathematical consistency, and their
philosophical consequences. I argue that the mathematical approach developed by
Badiou is seriously defective, and, as a result, that it cannot serve as an
ontological basis for the concept of event as presented in "Being and Event".
