jaibot comments on Identity and Death - Less Wrong
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I question how well your delta-person-function corresponds to an intuitive notion of "similar people".
"Same person" is a slightly-blurry blob of feature space concentrated heavily around a-person-as-they-are-at-the-moment. It generally includes the person they were a second ago, and (to a lesser extent) the person they were a year ago. But it's a continuous function, not a binary one - there's not a sharp cutoff between "you" and "not you" in possible-person-space.
Well, to quote myself:
Or in this example - enhanced Eliezer (imagine that the number of enhancements is massive) and non-enhanced Eliezer who can't even begin to think about the stuff that enhanced Eliezer does.