wafflepudding comments on Where Recursive Justification Hits Bottom - Less Wrong

41 Post author: Eliezer_Yudkowsky 08 July 2008 10:16AM

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Comment author: rkyeun 30 July 2012 01:11:29AM 4 points [-]

Imagine a mind as already exists. Now I install a small frog trained to kick its leg when you try to perform Occamian or Laplacian thinking, and its kicking leg hits a button that inverts your output so your conclusion is exactly backwards from the one you should/would have made but for the frog.

And thus symmetry.

Comment author: wafflepudding 10 June 2016 11:17:11PM *  2 points [-]

Though, the anti-Laplacian mind, in this case, is inherently more complicated. Maybe it's not a moot point that Laplacian minds are on average simpler than their anti-Laplacian counterparts? There are infinite Laplacian and anti-Laplacian minds, but of the two infinities, might one be proportionately larger?

None of this is to detract from Eliezer's original point, of course. I only find it interesting to think about.

Comment author: rkyeun 12 July 2016 03:51:37PM 0 points [-]

They must be of exactly the same magnitude, as the odds and even integers are, because either can be given a frog. From any Laplacian mind, I can install a frog and get an anti-Laplacian. And vice versa. This even applies to ones I've installed a frog in already. Adding a second frog gets you a new mind that is just like the one two steps back, except lags behind it in computation power by two kicks. There is a 1:1 mapping between Laplacian and non-Laplacian minds, and I have demonstrated the constructor function of adding a frog.