"I wish for the result of the hypothetical nth wish I would make if I was allowed to make n wishes in the limit as n went to infinity each time believing that the next wish would be my only one and all previous wishes would be reversed, or if that limit does not exist, pick n = busy beaver function of Graham's number."
I can see a genie taking a shortcut here.
"In any story worth the tellin', that knows about the way of the world, the third wish is the one that undoes the harm the first two wishes caused."
— Granny Weatherwax, A Hat Full of Sky.
In short, the genie may well conclude that every m'th wish, for some m (Granny Weatherwax suggests here that 'm' is three) your wish would be to have never met the genie in the first place. At this point, if you're lucky, the genie will use a value of n that's a multiple of m. If you're unlucky, the genie will use a va...
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