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MrMind comments on Circular belief updating - LessWrong
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I will!
The main problem (not in your post, in the general discussion) seems to me that there's no way to talk about probabilities and beliefs clearly and dependently, since after all a belief is the assignment of a probability, but they cannot be directly targeted in the base logic.
Puh. And I feared that I came across as writing totally unintellegible stuff. I promise that I will put some more effort into the notation.