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Vladimir_Nesov comments on Counterfactual Mugging - Less Wrong
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I really fail to see why you're all so fascinated by Newcomb-like problems. When you break causality, all logic based on causality doesn't function any more. If you try to model it mathematically, you will get inconsistent model always.
The primary reason for resolving Newcomb-like problems is to explore the fundamental limitations of decision theories.
It sounds like you are still confused about free will. See Righting a Wrong Question, Possibility and Could-ness, and Daniel Dennett's lecture here.
I think I'm not confused about free will, and that the links I gave should help to resolve most of the confusion. Maybe you should write a blog post/LW article where you formulate the nature of your confusion (if you still have it after reading the relevant material), I'll respond to that.