Both worlds have a prior probability of 50% of being correct. Is it the case that World B should instead be given a 10:1 odds due to there being ten times the number of people
I’m failing to parse this sentence. Is the prior probability .5 or .9?
If there are a million people in one possible world, but only one in another, it would seem to be an amazing coincidence for you to be that one.
Ah, this is true if this hidden assumption is true: you’re as likely to be one of the observer across all the possible universes. It’s the old Sleeping Beauty all over again. The problem is: what count as instances?
Gedankenexperiment: in universe A there are two observers, one wakes up in a green room and the other wakes up in a red room; in universe B a million observers wake up in a green room and a trillion observers wake up in a red room.
You wake up in a green room. Universe A or B?
I’m failing to parse this sentence. Is the prior probability .5 or .9?
Ah, this is true if this hidden assumption is true: you’re as likely to be one of the observer across all the possible universes. It’s the old Sleeping Beauty all over again.
The problem is: what count as instances?
Gedankenexperiment: in universe A there are two observers, one wakes up in a green room and the other wakes up in a red room; in universe B a million observers wake up in a green room and a trillion observers wake up in a red room. You wake up in a green room. Universe A or B?