I’m not sure how you’re thinking of this, but think about what’s going on in jesscat’s “souls” toy picture. In order for U_n to be possible, there must be at least n souls. Since U_n exists for every n, there must be an infinite number of souls—and therefore zero chance that when we pick out exactly one soul for U_1, yours is the soul that gets chosen. Therefore, ‘your’ probability of existing in U_1 is 0.
This almost works like if each ‘soul’ was a configuration of a person, and you were one particular configuration—except U_n (and SIA) don’t specify that each person has to be unique. Instead, it’s more analogous to a particular configuration of a particular chunk of matter—that’s one way to put in uniqueness.
The vast majority of possible souls live in chaotic universes. Under this theory, rather than just having a random experience like a Boltzmann brain, you almost certainly have no experience. But having a sensible experience is still astronomically low.
I’m not sure how you’re thinking of this, but think about what’s going on in jesscat’s “souls” toy picture. In order for U_n to be possible, there must be at least n souls. Since U_n exists for every n, there must be an infinite number of souls—and therefore zero chance that when we pick out exactly one soul for U_1, yours is the soul that gets chosen. Therefore, ‘your’ probability of existing in U_1 is 0.
This almost works like if each ‘soul’ was a configuration of a person, and you were one particular configuration—except U_n (and SIA) don’t specify that each person has to be unique. Instead, it’s more analogous to a particular configuration of a particular chunk of matter—that’s one way to put in uniqueness.
The vast majority of possible souls live in chaotic universes. Under this theory, rather than just having a random experience like a Boltzmann brain, you almost certainly have no experience. But having a sensible experience is still astronomically low.