Yeah, if the whole experiment is done twice, and you're truthfully told "this is the first experiment" or "this is the second experiment" at the beginning of each day (a minute after waking up), then I think your reasoning in the first experiment (an hour after waking up) should be the same as though the second experiment didn't exist. Having had a minute of confusion in your past should be irrelevant.
I disagree. I have presented arguments on LW in the past that if the experiment is run once in the history of the universe, you should reason as a halfer, but if the experiment is run many times, you will assign a probability in between 1/2 and 1/3, approaching one third as the number of times approaches infinity. I think that this applies even if you know the numerical identity of your particular run.
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