Eliezer_Yudkowsky comments on Possibility and Could-ness - Less Wrong
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Knecht, it's immediately obvious that 1 != 2, but you don't know which of your decisions is determined until after you determine it. So while it is logically impossible (ignoring quantum branching) that you will choose any of your options except one, and all but one of your considered consequences is counterfactual in a way that violates the laws of physics, you don't know which option is the real one until you choose it.
Apart from that, no difference. Like I said, part of what goes into the making of a rationalist is understanding what it means to live in a lawful universe.