Arnold Guminski

This paper examines the Kalam Cosmological Argument, as expounded by,William Lane Craig, insofar as it pertains to the premise that it is metaphysically impossible for an infinite set of real entities to exist. Craig contends that this premise is justified because the application of the Cantorian theory to the real world generates counterintuitive absurdities. This paper shows that Craig’s contention fails because it is possible to apply Cantorian theory to the real world without thereby generating counterintuitive absurdities, provided one avoids positing that an infinite set of real entities is technically a set within the meaning of such theory. Accordingly, this paper proposes an alternative version of the application of Cantorian theory to the real world thereby replacing the standard version of such application so thoroughly criticized by Craig.

This article examines Nowacki’s novel version of the kalam cosmological argument (N-KCA), and finds it seriously flawed. The N-KCA purportedly shows the factual impossibility of a denumerably infinite set of coexisting concrete entities; and that there would be such a set were an infinite temporal series of events to obtain because each existing substance bears its own necessarily permanent temporal marks and those of its ancestors. Nowacki, professing the A-theory of time, nevertheless maintains that truth-makers of past-event propositions are not tensed facts, according to some correspondence theory of truth, but rather the temporal marks borne by existing substances.