1) Subjectively distinguishable needs to be clarified. It can either a) that a human receives enough information/experience to distinguish themselves b) that a human will remember information/experience in enough detail to distinguish themselves from another person. The later is more important for real-world anthropics problems and results in significantly more copies.
2) “In most areas, we are fine with ignoring the infinity and just soldiering on in our local area”—sure, but SSA is inherently non-local. It applies over the whole universe, not just the Hubble Volume. If we’re going to use an approximation to handle our inability to model infinities, we should be using a large universe, large enough to break your model, rather than a medium sized one.
1) Subjectively distinguishable needs to be clarified. It can either a) that a human receives enough information/experience to distinguish themselves b) that a human will remember information/experience in enough detail to distinguish themselves from another person. The later is more important for real-world anthropics problems and results in significantly more copies.
2) “In most areas, we are fine with ignoring the infinity and just soldiering on in our local area”—sure, but SSA is inherently non-local. It applies over the whole universe, not just the Hubble Volume. If we’re going to use an approximation to handle our inability to model infinities, we should be using a large universe, large enough to break your model, rather than a medium sized one.
The correct way to handle SSA is to deal with the exact question that it poses. But for most purposes, this approximation suffices.