Well, I suppose in principle there might. But would you really want to bet that way?
Insufficient information to bet either way.
The question then is what to do about the possibility of having got the complexity-based calculation (or actually one's estimate of it) badly wrong. I'm inclined to agree that when one takes that into account it's not reasonable to use an odds ratio as large as 10^9:1.
Yes, that's what I meant by "capped" - if I did that calculation (somehow working out the complexities) and it told me that there was a one-in-a-billion chance, then there would be a far, far better than a one-in-a-billion chance that the calculation was wrong.
But it's not as if this complexity argument is the only reason anyone has for not believing in God. (Some people consider it the strongest reason, but "strongest" is not the same as "only".)
Noted.
If I assume that the second-strongest reason is (say) 80% as strong as the strongest reason (by which I mean, 80% as many bits of persuasiveness), the third-strongest reason is 80% as strong as that, and so on; if the strength of all this (potentially infinite) series of reasons is added together, it would come to five times as strong as the strongest reason.
Thus, for a thirty-bit strength from all the reasons, the strongest reason would need a six-bit strength - it would need to be worth one in sixty-four (approximately).
Of course, there's a whole lot of vague assumptions and hand-waving in here (particularly that 80% figure, which I just pulled out of nowhere) but, well, I haven't seen any reason to think it at all likely that the complexity argument is worth even three bits, never mind six.
(Mind you, I can see how a reasonable and intelligent person might disagree on me about that).
Incidentally, I offer the following (not entirely serious) argument for pressing the boom-if-God button rather than the boom-with-small-probability button: the chances of the world being undestroyed afterwards are presumably better if God exists.
...serious or not, that is a point worth considering. I'm not sure that it's true, but it could be interesting to debate.
80% [...] 80% [...] 80%
I would expect heavier tails than that. (For other questions besides that of gods, too.) I'd expect that there might be dozens of reasons providing half a bit or so.
I haven't seen any reason to think it at all likely that the complexity argument is worth even three bits, never mind six.
For what it's worth, I might rate it at maybe 7 bits. Whether I'm a reasonable and intelligent person isn't for me to say :-).
Another month, another rationality quotes thread. The rules are: