komponisto comments on Complexity of Value ≠ Complexity of Outcome - Less Wrong
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Of course not; the substance of one's reasons for disagreeing matters greatly. In this case, I suspect there's probably a significant amount of correlation/non-independence between the reasons for believing atheism and believing something like moral non-realism.
One thing we should take away from cases like atheism is that surveys probably shouldn't be interpreted naively, but rather as somewhat noisy information. I think my own heuristic (on binary questions where I already have a strong opinion) is basically to look on which side of 50% my position falls; if the majority agrees with me (or, say, the average confidence in my position is over 50%), I tend to regard that as (more) evidence in my favor, with the strength increasing as the percentage increases.
(This, I think, would be part of how I would answer Yvain.)