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Stuart_Armstrong comments on Monty Hall Sleeping Beauty - Less Wrong Discussion
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In my video here I look at a lot of the ramifications of SB decisions: https://www.youtube.com/watch?v=aiGOGkBiWEo
What's relevant here is the frequentist position. Imagine you do the SB experiment a thousand times in a row. If you tell SB "be correct the most often you are asked", she will behave as a thirder. If you tell SB "be correct in the most experiments", then she will behave as a halfer. So frequentism no longer converges to a unique subjective probability in the long run.
No; you are asking her two different questions, so it is correct for frequentism to give different answers to the different questions.
Of course. But the two questions are the same outside of anthropic situations; they are two extensions of the underdefined "how often was I right?" Or, if you prefer, the frequentist answer in anthropic situations is dependent on the exact question asked, showing that "anthropic probability" is not a well defined concept.