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Comment author: James_Annan 26 December 2007 09:39:15AM 0 points [-]

Robert Aumann's Agreement Theorem shows that honest Bayesians cannot agree to disagree - if they have common knowledge of their probability estimates, they have the same probability estimate.

Um, doesn't this also depend on them having common priors?

James

In response to "Inductive Bias"
Comment author: James_Annan 09 April 2007 06:33:29AM 1 point [-]

If you start out with a maximum-entropy prior, then you never learn anything, ever, no matter how much evidence you observe. You do not even learn anything wrong - you always remain as ignorant as you began.

Can you clarify what you mean here? Are you referring specifically to the monkey example or making a more general point?