I think this gets at psychological connectedness/continuity. There’s a large gap between scanning and the creation of the copy, but actually, maybe there’s a gap between your conscious states, too? Connectedness/continuity seems to be an illusion, and the copy could also be under the same illusion.
I think you could think of yourself as continuing 100% in all of them (at the time of copying), not some fractional amount. Identity is not transitive or unique in this way; it’s closer to something like inheritance/descendance. Your hypothetical biological children would each inherit about half of your genes, no matter how many there are. Your identity descendants could each inherit 100% of your identity, even if they aren’t identical to each other.
I think this gets at psychological connectedness/continuity. There’s a large gap between scanning and the creation of the copy, but actually, maybe there’s a gap between your conscious states, too? Connectedness/continuity seems to be an illusion, and the copy could also be under the same illusion.
I think you could think of yourself as continuing 100% in all of them (at the time of copying), not some fractional amount. Identity is not transitive or unique in this way; it’s closer to something like inheritance/descendance. Your hypothetical biological children would each inherit about half of your genes, no matter how many there are. Your identity descendants could each inherit 100% of your identity, even if they aren’t identical to each other.