A common conundrum with science-fiction teleporters is that they're often described as breaking down, and then recreating, matter.

With a human being (or other sentient life form), this brings up the philosophical question of whether the 'recreated' you is really you? If you were taken apart in chunks, and then someone put an exact copy of you back together from those chunks, would it still be the same 'you' that was taken apart? Or would it be a new 'you', some copy or clone with all of your memories?