More generally, for what starting states of the qubit would you push the button?
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Pushing the button kills you if x < fractional part of pi*googolplex, and creates another copy of you otherwise. For what x do you push it?
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Intuition here that another copy of me is only ethically relevant if there is a distinction between me and copy, and therefore relationship
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If so, common good ethics values the in-relationship copy as a manifestation of anthropic flourishing, beholden to any responsibilities
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