Well… I don’t know about you, but even if I believed that the most likely explanation for my observations was that I am a boltzmann brain, my current beliefs will lead me to effectively act as if I have 0 crecedence in that belief (since these worlds have no implications for my policy). As long as I put 0 value on this frame, I can actually discard it even if I have knightian uncertainty about which is the right prior to use (Logical uncertainty makes this more complicated than it needs to be and I think the basic point still stands. I am basically appealing to pragmatism).
This might not apply to every theorem that has ever been called NFL theorem. I think that what I wrote is true for the stuff that Wolpert shows in this paper.
Well… I don’t know about you, but even if I believed that the most likely explanation for my observations was that I am a boltzmann brain, my current beliefs will lead me to effectively act as if I have 0 crecedence in that belief (since these worlds have no implications for my policy). As long as I put 0 value on this frame, I can actually discard it even if I have knightian uncertainty about which is the right prior to use (Logical uncertainty makes this more complicated than it needs to be and I think the basic point still stands. I am basically appealing to pragmatism).
This might not apply to every theorem that has ever been called NFL theorem. I think that what I wrote is true for the stuff that Wolpert shows in this paper.