I both agree and disagree with you.
I would say they are equivalent "for all practical purposes," but that qualifier is necessary. A low prior on a complicated hypothesis is not as relevant as one might think due to the washing out of priors (which is how we can have subjective priors such as "deciding" that the existence of Thor has low prior probability).
And as I said in another comment, you cannot call a probability of 0.9998 and a probability of 1 equivalent. If they were equivalent, your probability would = 1. If it is not, you cannot be rationally justified in making such an absolute statement.
I think we share the same perspective on this issue. My main point regarding the existence/non-existence of a god was that one cannot say with a P of 1 that there is certainly no god. In fact, such an assertion seems to me to be absurd. However, given other evidence, we can have very low confidence in the existence of a god and very high confidence in the non-existence of a god.
However, as a scientist and philosopher of science, I cannot accept that missing evidence infers any one alternative hypothesis. This was one of the many criticisms of Karl Popp...
Just a few points:
1) I would not call atheism "rationality." Atheism requires a certain degree of blind faith and accepting lack of evidence for religion as evidence of not-religion which is not in concordance with the principles of rationality. Perhaps "agnostic atheism" would be a more reasonable perspective. "There is a god" and "there is no god" are both non-falsifiable assertions, and I can think of few things that I would accept as corroborating evidence thereof. You cannot deduce atheism from the fact that...
To a rationalist, "Thor doesn't exist" and "Thor almost certainly doesn't exist" are pretty much equivalent, and generally caused by "I have no good evidence that Thor exists and a low prior on complicated hypotheses like Thor".
I took the survey! I also assumed the probabilities were meant to be first-glance intuitive. I wish I'd known people were actually doing research, for I would have done the calculations!
All right, I think I concede your point. (Not to say I will stop thinking about this issue, of course -- have to be in a constant state of "crisis of belief" &c.) I also think we agree fundamentally about a great many of these points you made in this comment to begin with and perhaps I did not verbalize them coherently -- such as "behaving for all practical purposes as if a given T were true" and so on. The majority of your last paragraph is new to me, however. Thanks.