In this article I concentrate on three issues. First, Graham Oppy's treatment of the relationship between the concept of infinity and Zeno's paradoxes makes apparent several problems that must be dealt with if the concept of infinity is to do any intellectual work in the philosophy of religion. Here I will expand on some insightful remarks by Oppy in an effort to adequately respond to these problems. Second, I will do the same regarding Oppy's treatment of Kant's first antinomy in the first critique, which deals in part with the question of whether the world had a beginning in time or if time extends infinitely into the past. And third, my examination of these two issues will inform what I have to say regarding a key topic in philosophy of religion: the question regarding the proper relationship between the infinite and the finite in the concept of God.