But if my (not a mathematician) friend says that god spoke to him in a dream, and gave him a proof of the Goldbach conjecture, and he has the proof and it's valid, then I would think something more interesting than a typical dream was going on.
But then that doesn't hold up to any decent Bayesian probabilistic analysis.
When you trace the chain of causality for why they thought it was "God" that spoke to them in the first place, you find that they use very vague heuristics for identifying speakers-in-dreams as "God" as opposed to "Some Mathematically-genius Alien", and then that the source of those heuristics is even more vague and unlikely to be accurate: Biblical readings, inferences from the bible, third-hand accounts from some person who listened to some priest w...
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