Qubit is in state (|0> + |1>)/sqrt(2). Pushing button will measure it, kill you if it is |0>, and create another copy of you if it is |1>.
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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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Replying to @ModelOfTheory
This presumes that copying you is a reward that you would want. Oh great, another mouth to feed.
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Replying to @ContentOfMedia
No, it doesn't. "Not for any x" is a legitimate answer. E.g. the only response I got to the previous version of the question.
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Replying to @ModelOfTheory
Well, I assumed the point was to evaluate some measure of risk/reward under uncertainty. What are you trying to get at?
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How does utility scale wrt number of copies? Though the test I suggested fails to provide more precise info if 2 copies is worse than 1.
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