For Craig, an actual infinite is a timeless totality that cannot be added to or reduced, and past events qualify as an actual infinite because they are determinate and can be collected into a totality.

Craig is well aware of the fact that he is using actual and potential infinite in a way that differs from the traditional usage in Aristotle and Aquinas [Craig and Sinclair 2009: 115. For Aristotle, all the elements in an actual infinite exist simultaneously, whereas a potential infinite is realized over time by addition or division. Hence, the temporal series of events, as formed by successively adding new events, was a potential, not an actual, infinite (Aristotle, Physics, III, 6)]. For Craig, however, an actual infinite is a timeless totality that cannot be added to or reduced. “Since past...