casebash comments on The Number Choosing Game: Against the existence of perfect theoretical rationality - Less Wrong Discussion
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Any finite universe will have a best such actor, but is even our universe finite? Besides, this was purposefully set in an infinite universe.
Finitely specified universe, not finite universe. That said, until the edit I had failed to realize that the diagonalization argument I used to disallow an infinite universe to contain an infinite hierarchy of finite actors doesn't work.