Because it is irrelevant as to whether or not it implies an infinite regress, which it most certainly does.
Dependence is irrelevant to whether or not it implies an infinite regress. Correct. But dependence is not irrelevant to whether or not it implies a
vicious infinite regress, which is what is at issue.
That’s one definition of “beginning the question.” It’s not the only definition. I can also “mean “to raise the question” (as in “This begs the question of whether…”)” (source: Wikipedia:
Begging the quesiton)
OK, but begging the question in that sense is not fallacious.
But to argue that an infinite regress of single events does. The infinite regress is implied because the materialist keeps begging the question (causes me “to raise the question” as in “this begs the question of whether” another previous state of affairs caused the present state of affairs).
As I’ve pointed out, this would be a logically unproblematic sense of “begging the question.”
But if the materialist asserts that he finds a temporal regress unproblematic, and you want him to believe otherwise, then the onus would be on you to show that it is problematic.
Whether or not a causal series is *accidentally * or essentially ordered is irrelevant as to whether or not a vicious regress is involved.
Can you substantiate this claim?
Even if both were always problematic (which I don’t concede; the “it is true that it is true that… it is true that
p” is an accidental regress that is unproblematic), then they would be problematic for different reasons. An essentially ordered series constitutes a vicious regress because each element depends on the antecedent element for its own effect on the subsequent element. That is (by definition) not the problem with accidentally ordered series. If accidentally ordered series are impossible, it would have to do with the logical implications of having infinitely many events (say), as Pruss argues.
But even then I don’t think you could argue that all accidentally ordered series are vicious regresses, so the accidental/essential distinction evidently
is relevant.
The universe could not have had an infinite past in time because this would imply an infinite amount of time would have had to elapse to reach the present.
Just like we must count an infinite number of integers to get to the number 5?
The problem is that on the infinite temporal regress model,
there is no first moment of time. Since there is no first moment in time, it doesn’t make sense to say that there is an infinite number of steps between that must be traversed to get to the present. You say that it “would imply an infinite amount of time would have had to elapse to reach the present.” Would have to elapsed
since when? The answer surely cannot be “the beginning of the universe,” because the materialist is claiming that there wasn’t one. And if you pick any time in the past, only a finite duration will have elapsed since then.
An infinite regress does not imply that there is any moment in time infinitely far away from the present. It implies that every moment in time is
finitely far away from the present, but that you cannot bound the distances of all of the moments. (In other words, if you are given any time in the past, you can calculate the finite duration that has elapsed since then. But you can’t find any number of years, say, that all of those finite durations will be lower than.)
I would contest that it is at least prima facie consistent that God create a world that exists through an infinite duration.
This is a logical impossibility. And if you can’t see that, then we have reached an impasse where it will be futile to debate this issue any further.
You haven’t shown this. You would have to show the analogy with the integers to be in some way flawed. The integers extend infinitely in both directions, but if you pick any two integers, there is a finite distance between them. It doesn’t make sense to say that we can never reach 0 because we can’t count the infinitely many negative integers.
You might be interested in
this post by Bill Vallicella, who is sympathetic to your position.