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FAWS comments on Harry Potter and the Methods of Rationality discussion thread, part 16, chapter 85 - Less Wrong
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But the Potterverse is dualist. Even if horcruxes get some massive retcon, animagi preserve that in MOR.
So maybe souls are immune to the normal patterns of time and causality, and a decision from the soul has special properties for prophecy. Only when all involved souls have chosen does the timestream become fixed enough for prophecies. I'm not sure what that means for time turners. Maybe people who have gone back are out of contact with their souls.
This would cost the story applicability, but it is a story, not a treatise.
Mere dualism isn't enough to save libertarian free will. To the extent your decision is characteristic of you it is at least in principle predictable, at least probabilistically. The non-predictable component of your decision process is by necessity not even in principle distinguishable from that of Gandhi or Hitler in any way. So how can you call the result of the non-predictable component deciding with your free will?