The only apparent paradox of this thought experiment concerns the temporal continuum of personal identity.
There is nothing paradoxical about having perfect clones of you, each indistinguishable from each other and all having a valid claim of being “you” to outside observers. If the universe is infinite, maybe there are already perfect clones of you out there already. They will all have personal identities, but they will separate from each other, even at the instance of clone creation with all particles in perfect symmetry.
The questions are: do you (i.e. your personal identity) have a future in any of the clones? Do you have a future in your original body?
There are 3 possibilities:
- You have a future only in your original body.
- You have a future in your original body and in your clones
- You have a future in neither your original body nor your clones.
#2 is a paradox, because your personal identity can’t be split, or exist in more place than once (you can’t be conscious in two locations without some type of physical connection).
#1 is what I believe. You have a future in your body only. My clone’s PI was “born” when he popped into existence, but was always separate from mine.
#3 is what I believe the physicalists really mean, when they appear to be arguing #2. When asked if it matters to them whether their perfect clone or their original-bodied them survives in the future, they say that it doesn’t really matter because they’re “both me”.
But, their premise suggests something more depressing; it predicts that neither will be them because they “die” every instant and a new “me” is born the next instant. It’s the reason they don’t mind stepping into a transporter. In essence, their attitude is “why not, I’m going to be dead whether I go through it or not”. They may not think of it in those terms, but it’s what it boils down to. Me, I’m not going in any transporter and I’m not going to choose my perfect clone to be the lone surviver, even if he’s rewarded with an evening with Scarlett Johansson (why should he have all the fun!).