I recently re-read J.P. Moreland's defense of the kalam cosmological argument in his classic apologetics text, Scaling the Secular City. Good Lord.
Virtually all his arguments against the traversability of actual infinites presuppose that any traversal must have a beginning. In other words, he just blatantly begs the question against the possibility of a beginningless past. At least Craig offers arguments against the possibility of beginningless traversals, viz., his "immortal counter" reductio and his variation on the Tristram Shandy Paradox (which, unfortunately, have been decisively critiqued by (e.g.) Wes Morriston -- here, for example). I hope to discuss Moreland's arguments in detail some time soon.
UPDATE: Here is a link to a detailed discussion of Moreland's arguments against the traversability of a beginningless past.
Review of Draper and Schellenberg (eds.), <I>Renewing Philosophy of Religion: Exploratory Essays</I>
Adam Green reviews the book for NDPR.
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