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ygert comments on Dark Arts of Rationality - Less Wrong
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Have you seen this explored in mathematical language? Cause it's all so weird that there's no way I can agree with Hofstadter to that extent. As yet, I don't know really know what "smart" means.
Yeah, I agree, it is weird. And I think that Hofstadter is wrong: With such a vague definition of being "smart", his conjecture fails to hold. (This is what you were saying: It's rather vague and undefined.)
That said, TDT is an attempt to put a similar idea on firmer ground. In that sense, the TDT paper is the exploration in mathematical language of this idea that you are asking for. It isn't Hofstadterian superrationality, but it is inspired by it, and TDT puts these amorphous concepts that Hofstadter never bothered solidifying into a concrete form.