Everyone here seems to be missing his point. He is talking about transferring over the thing that is "you" in a continuous fashion, over time, into another host

Everyone here seems to be missing his point. He is talking about transferring over the thing that is "you" in a continuous fashion, over time, into another host. "continuous" is the key here, as in the "self-aware thing" that is you will not have a disruption in his aware conscious experience. No disruption in history.