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Vaniver comments on Rationality Quotes September 2012 - Less Wrong
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Concretely: Beta(1,2) and Beta(400,800) have the same mean.
I don't understand K to be arguing in favor of high-entropy priors, or T to be arguing in favor of low-entropy priors. My guess is that TimS would call a position a "strong position" if it was accompanied by some kind of political activism.
I think of a strong position as a low-entropy posterior, but rereading I am not confident that's what TimS meant, and I also don't see the connection to politics.