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You've only expended a finite amount of computation on the question, though; and you're running on corrupted hardware. How confident can you be that you have already correctly distinguished an unbounded utility function from one with a very large finite bound?
(A genocidal, fanatical asshole once said: "I beseech you, in the bowels of Christ, think it possible that you may be mistaken.")
I do think it possible I may be mistaken.