orthonormal comments on AI cooperation in practice - Less Wrong

26 Post author: cousin_it 30 July 2010 04:21PM

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Comment author: orthonormal 31 July 2010 06:19:05PM 2 points [-]

IIRC, the modification of Gödel's statement which instead has the interpretation "I can be proved in this formal system" is called a Henkin sentence, and does in fact have a finite proof in that system. This seems weird in the intuitive sense you're talking about, but it's actually the case.

Comment author: cousin_it 31 July 2010 06:56:48PM *  1 point [-]

Yep. The Henkin sentence has already come up multiple times in the comments here. Understanding the proof of the Henkin sentence takes you about 95% of the way to understanding my original argument, I think.