In what sense is the second horn of your dilemma an "arbitrary universe [coming] into existence with random (and suspiciously orderly) laws"? What does it mean to describe the universe as arbitrary and random while simultaneously acknowledging its orderliness? Do you simply mean "uncaused", because (a) that is not the only alternative to theism, and (b) I don't see why one would expect an uncaused universe (as opposed to a universe picked using a random selection process) not to have orderly laws.
What I mean is, not planned. If I toss a fair coin ten thousand times, I have an outcome (a string of heads and tails) that would be arbitrary and random. It is possible that this sequence will be an exactly alternating sequence of heads and tails (HTHTHTHTHTHT...) extending for all ten thousand tosses (a very orderly result); but if I were to actually observe such an orderly result, I would suspect that there is an intelligent agent controlling that result in some manner. (That is what I mean by 'suspiciously orderly' - it's orderly enough to suggest planning).
So Eliezer's question is, if P(orderliness | God) > P(orderliness | ~God), then why not also P(intelligent God | Metagod) > P(intelligent God | ~Metagod)? Your response is basically that P(intelligent God | God & orderliness) > P(~intelligent God | God & orderliness). How does this help?
Well, it makes sense that P(intelligent God | Metagod) > P(intelligent God | ~Metagod). And therefore P(Metagod | Metametagod) > P(Metagod | ~Metametagod), and so on to infinity; but an infinity of metagods and metametagods and so on is clearly an absurd result. The chain has to stop somewhere, and that 'somewhere' has to be with an intelligent being. Therefore, there has to be an intelligent being that can either exist without being created by an intelligent creator, or that can create itself in some sort of temporal loop. (As I understand it, the atheist viewpoint is that a human is an intelligent being that can exist without requiring an intelligent creator).
And my point was that P(intelligent God | ~Metagod) is non-zero. The chain can stop. P(Metagod | intelligent God) may be fairly high; but P(Metametagod | intelligent God) must be lower (since P(Metametagod | Metagod) < 1). If I go far enough along the chain, I expect to find that P(Metametametametametametametagod | intelligent God) is fairly low.
Does that help?
but an infinity of metagods and metametagods and so on is clearly an absurd result.
That's not clear.. There is presumably something like that in Tegmark's level IV.
The chain has to stop somewhere, and that 'somewhere' has to be with an intelligent being.
You haven't established the 'has to' (p==1.0). You can always explain Order coming from Randomness by assuming enough randomness. Any finite string can be found with p>0.5 in a sufficiently long infinite string. Assuming huge amounts of unobserved randomness is not elegant, but neither is assu...
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