Jeffrey T. Allen
[ Author Bio ]
A crucial premise of William Lane Craig's kalam cosmological argument (KCA) is that the universe began to exist. Craig supplements the KCA itself with a secondary argument for this crucial premise. That secondary argument, in turn, presumes that an actual infinite cannot exist. In this essay, Jeffrey T. Allen argues that if an omniscient God exists, the premise that an actual infinite cannot exist is false, as an omniscient God would need to know an infinite number of truths about himself. Thus Craig's defense of his KCA appears to entail a premise that contradicts the conclusion of his KCA. As long as Craig does not offer some alternative defense of the KCA premise that the universe began to exist, and unless he can justify limiting to the physical world his KCA premise that whatever begins to exist has a cause, he must either concede that it is false that an actual infinite cannot exist, or else that God does not exist.