Technologos comments on MWI, weird quantum experiments and future-directed continuity of conscious experience - Less Wrong
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Indeed, you could take two copies of me, reanimate one of them, let him live for a while, and then kill him, and then once you've done that reanimate the other copy and let him live. Which one do I experience being?
A question very similar to this was on my UChicago admissions essay. Had to do with teleporters.