Would you use teleporter technology if it existed? Why or Why not?
You know those sci-fi teleporters like in Star Trek where you disappear from one location then instantaneously reappear in another location? Do you trust that they are safe to use?
Everything that makes you -you- is contained in the physicality of your brain. Even fairly small changes in your brain will create large shifts in cognition and personality. So anything that replicates your body and brain, down to the last atom, is going to be creating -you-. As far as you are concerned, nothing happened; you ceased to be in one place, and immediately sprang into existence in another.
Consciousness IS continuity. If you are disentigrated and a perfect clone pops up somewhere to replace you... you died. Your current stream of consciousness ended and a perfect copy replaced you.
As far as all external observers are concerned it's still you. But from your own perspective? Well you won't have one anymore, you'll be dead.
...But the -me- that just popped into existence isn't going to perceive a gap in continuity at all. It may be a new -me-, but it has all the memories and experiences that -I- had just prior to being disintegrated. From the perspective of the new -me- there's no change at all.
Are you the same person as the person that went to sleep last night? How would you know that you weren't replaced by a clone with precisely the same memories and experiences? Or a clone that thinks that it has the same memories and experiences? I can remember last night, but can I prove that my memories are accurate?
While I agree with you it would -for me- still depend on how the process works. Suppose the new copy needs to be compared with the original after being constituted for safety reasons. So the original doesn't get destroyed before the copy is created. So for an instant there will be 2 'yous'. That makes jt less desirable for me. Now suppose the verification time -either due to technical or administrative purposes- takes minutes or hours? At that point I would not step into a transporter.
The fact that a clone would be seamlessly picking up my stream of consciousness after I die would be little consolation to me.
Sleep may be similar from a philosophical or external point of view. But I'm not sold that lack consciousness during sleep is in the same league as completely destroying, and then, rebuilding it.
Every atom in your brain gets replaced every four five years anyway so clearly it's the position and structure of the atoms that's important rather than the atoms themselves. So obviously there is no point worrying about it because it happens anyway, and you're clearly fine.
The individual atoms probably get replaced far more often. And I think that, depending on how you look at -you-, the -you- of a year ago isn't the same -you- as who you are now; the change is just so gradual that you don't notice.