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MrMind comments on Open thread, Aug. 10 - Aug. 16, 2015 - Less Wrong Discussion
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That's a variant of a known problem in any decision theory that admits unbounded utility: there's something inside a box which every minute increases its utility, but it stops when you open the box and you get to enjoy it.
When do you open the box?
A similar problem is: pick a number. Gain that many utilons.
That's when Scott Aaronson's essay Who Can Name the Bigger Number comes in handy!