ShardPhoenix comments on Continuity in Uploading - Less Wrong Discussion
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I think we have to give up on uniqueness of identity in order to remain consistent in these kind of sci-fi scenarios.
edit: And I guess "identity" has to have a continuous value to - similar to the anthropic principle - being x% certain you are in a particular world is like being x% certain you are a particular person.
What do you mean by "uniqueness of identity"?
The idea that, after a non-destructive upload, only one of the people can be you.