timtyler comments on Newcomb's Problem and Regret of Rationality - Less Wrong
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I think this is the position of classical theorists on self-modifiying agents:
From Rationality, Dispositions, and the Newcomb Paradox:
They agree that agents who can self-modify will take one box. But they call that action "irrational". So, the debate really boils down to the definition of the term "rational" - and is not really concerned with the decision that rational agents who can self-modifiy will actually take.
If my analysis here is correct, the dispute is really all about terminology.