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WrongBot comments on Harry Potter and the Methods of Rationality discussion thread, part 3 - Less Wrong
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It isn't necessary to stop there, and you can follow that chain pretty much infinitely.
I think TDT jumps to the end of that regression by cooperating iff you and I are both implementations of the same abstract computation.
Yeah, but each stage is rather different from the one before; at no stage would you actually cooperate with yourself, since those ‘iff’s are so strict.
But if this (which I've seen here before) is not supposed to be what TDT really says, but just some handwaving to give the idea, then that's all right.
TDT hasn't been published in anything resembling a finished form, and I'm a curious amateur when it comes to decision theory, at best. I imagine there's more to it, but I can't really speculate about what it might be.