(to be clear, everything I’ve said also flows from the principle of indifference; if you cannot tell the difference between N states of the world, then the probability 1/N describes your uncertainty about those N states)
It’s not that I wouldn’t care which one I am (they’re identical), but there would be no way for me to differentiate the experiences.
Suppose the scientist told me before the procedure that he would with probability 2⁄3 waken the original in a blue room and the clone in a red room and with probability 1⁄3 reverse the colors. If I were to wake up in a blue room afterward, my credence that I’m the original would be 2⁄3.
I was asking if your reasoning for equal probabilities of Original vs Clone can be summarized as the Principle of Indifference. Not suggesting you do not care which copy you are. Would I be wrong to assume you endorse POI in this problem?
Problem is POI is not a solid theory to rely on and it often lead to paradoxes. In anthropic problems in particular, it is unclear what exactly should be regarded indifferent. See this post for an example.
Would you say your reasoning is a principle of indifference between “I am the Original” vs “I am the Clone”?
(to be clear, everything I’ve said also flows from the principle of indifference; if you cannot tell the difference between N states of the world, then the probability 1/N describes your uncertainty about those N states)
It’s not that I wouldn’t care which one I am (they’re identical), but there would be no way for me to differentiate the experiences.
Suppose the scientist told me before the procedure that he would with probability 2⁄3 waken the original in a blue room and the clone in a red room and with probability 1⁄3 reverse the colors. If I were to wake up in a blue room afterward, my credence that I’m the original would be 2⁄3.
I was asking if your reasoning for equal probabilities of Original vs Clone can be summarized as the Principle of Indifference. Not suggesting you do not care which copy you are. Would I be wrong to assume you endorse POI in this problem?
I would say POI applies here.
Problem is POI is not a solid theory to rely on and it often lead to paradoxes. In anthropic problems in particular, it is unclear what exactly should be regarded indifferent. See this post for an example.