MattG comments on The Number Choosing Game: Against the existence of perfect theoretical rationality - Less Wrong Discussion
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What is perfect rationality in the context of an unbounded utility function?
Consider the case where utility approaches 100. The utility function isn't bounded, so the issue is something else.
It's still some weird definitions of perfection when you're dealing with infinities or infinitesimals.
Maybe it is weird, but nothing that can fairly be called perfection exists in this scenario, even if this isn't a fair demand.