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by Mizza
498 days ago
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The first part is is precisely correct, and then the second part is precisely wrong: > We have no way to operate on hypotheses nobody has thought of, so we just operate on the set of hypotheses we have thought of. Since the sum of this set of probabilities must be 1, decreasing the probability of one hypothesis does increase the probability of all the other hypotheses in the set. We've been able to go to the moon because we understood general relativity, which absolutely could not have been created from a purely Bayesian approach for the reasons you made clear - it required new ideas. |
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> Where Popper's critique becomes important is if we keep decreasing the probabilities of all the hypotheses in the set--this indicates that the hypothesis which is true is not in the set (i.e. nobody has come up with the correct hypothesis to test). This indicates a need for new hypotheses.
I'll add that once relativity was hypothesized, it was added to the finite set of hypotheses that humans had hypothesized. Your "counterexample" is well within the scientific process I described.