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PhilipL comments on AI box: AI has one shot at avoiding destruction - what might it say? - Less Wrong Discussion
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It has already been proven.
Of course, but not elegantly.
I believe this was part serious example, part reference to the Laganne(sp?) Omake in HPMoR.
It's a reference to the original phrasing of Fermat's note on said theorem: "It is impossible to separate a cube into two cubes, or a fourth power into two fourth powers, or in general, any power higher than the second, into two like powers. I have discovered a truly marvelous proof of this, which this margin is too narrow to contain." (It is questionable whether this is true or not.)