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Vladimir_Nesov comments on A Request for Open Problems - Less Wrong
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The Credible interval article on Wikipedia describes the distinction between frequentist and Bayesian confidence intervals.
The general pattern here is that there's something you do care about and something you don't care about, and frequentism doesn't allow you to talk about the thing you do care about, so it renames the thing you don't care about in such a way as to suggest that it's the thing you do care about, and everyone who doesn't understand statistics well interprets it as such.