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Desrtopa comments on Harry Potter and the Methods of Rationality discussion thread, part 9 - Less Wrong Discussion
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They could possibly know, if they were to, say, keep recording devices on a large population of known seers, but from what we've seen so far I don't think I would credit the wizarding world in general with that much rigor.
I don't think that would really settle the matter, though. All you would then know is whether seers prophesied when only in the presence of recording devices. (If a seer prophesied in the forest and no one was there to hear, would it constrain the future?) I wonder what you would call that, actually- the Cassandra Uncertainty Principle?