> So am I still the same person, or am I simply an (incomplete) copy of that
> person?

Maybe an answer is that it's possible (or even normal?) to have a unique 
"item" represented by different actual matter at different points in 
time, but not at different points in space.

Also replacement parts (cells, molecules, ship parts) need some finite 
amount of time to become generally "accepted" (in a philosophical sense, 
not a scientific sense) as part of the original item. If you replace 
every part of your PC within 1 hour, then you've got a different PC and 
the "old" one is in a heap next to it. If you replace one part every 
year then in the end you might still say you've got the "same" PC. It's 
the constituent parts being together that make the item.

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