With amnesia, in room A there is 1 observer-moment per moment over the total occupied time T ⇒ T observer moments, while in room B there are 1000 observer-moments per moment over some other time T’ ⇒ 1000 T’ observer moments.
If the people in room B stick around long enough that T=T’, then there are more total observer moments in room B. If each person gets the same amount of time (as suggested in the comment two above), then T’=T/1,000,000 and are more observer moments in room A.
(For more rigor, we might think of “observer-moment” as a density function rather than discrete occurrences).
I always see you commenting on Stuart Armstrong’s posts, so I actually just assumed you were alluding to that work in the great-great-grandparent. I wonder if I should start erring on the side of assuming that people do want pointers to the literature.
Yeah, my knowledge of the anthropics literature is pretty slim—thinking about anthropics has driven me to read about probability and causal models, rather than the object-level writings. Pointers to the literature are great :)
Bostrom published that in 2002? Wow!
With amnesia, in room A there is 1 observer-moment per moment over the total occupied time T ⇒ T observer moments, while in room B there are 1000 observer-moments per moment over some other time T’ ⇒ 1000 T’ observer moments.
If the people in room B stick around long enough that T=T’, then there are more total observer moments in room B. If each person gets the same amount of time (as suggested in the comment two above), then T’=T/1,000,000 and are more observer moments in room A.
(For more rigor, we might think of “observer-moment” as a density function rather than discrete occurrences).
I always see you commenting on Stuart Armstrong’s posts, so I actually just assumed you were alluding to that work in the great-great-grandparent. I wonder if I should start erring on the side of assuming that people do want pointers to the literature.
Yeah, my knowledge of the anthropics literature is pretty slim—thinking about anthropics has driven me to read about probability and causal models, rather than the object-level writings. Pointers to the literature are great :)