Vladimir_Nesov comments on Decision Theories: A Semi-Formal Analysis, Part I - Less Wrong

21 Post author: orthonormal 24 March 2012 04:01PM

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Comment author: Vladimir_Nesov 25 March 2012 11:28:12AM *  2 points [-]

...and Slepnev posted a proof (on the list) that in my formulation, X can be successfully deceived. It's not so much a Henkin sentence, just a program that enumerates all proofs, looking for a particular spurious counterfactual, and doesn't give up until it finds it. If the spurious counterfactual is provable, the program will find it, and so the agent will be tricked by it, and then the spurious counterfactual will be true. We have an implication from provability of the spurious argument to its truth, so by Loeb's theorem it's true, and X is misled. So you were right!