I like Scott Aaronson's solution (http://www.scottaaronson.com/blog/?p=30 http://www.scottaaronson.com/blog/?p=30). Basically, assuming: 1) completely infallib

I like Scott Aaronson's solution (http://www.scottaaronson.com/blog/?p=30 http://www.scottaaronson.com/blog/?p=30). Basically, assuming: 1) completely infallible and incapable of error 2) to get a perfect prediction, the predictor must simulate you perfectly to the extent that the simulated you won't have any way to know it is the simulation Therefore, at the time of the decision, "you" might actually be the "simulated you" and any decision you make will indeed affect the content of the boxes for the "real you". Which makes single boxing the rational decision.