This thesis begins with a brief discussion of a subjective problem that plagues political thought and practice: how can we have faith in a politics that seeks to change the world? The introduction spins this problem into two, describing both the historical resilience of injustice, and the shaky philosophical moorings of a political subject given the caveats of a materialist philosophy of mind. I come to the conclusion that the philosophical writings of Alain Badiou represent the most substantive attempt to tackle this question on both the level of praxis and on the level of theory. The bulk of this thesis consists of an exegesis of Badiou\u27s first two major philosophical works- Theory of the Subject and Being and Event-tracing the unresol...