billswift comments on Science Isn't Strict Enough - Less Wrong
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Given the complications of the calculations and the necessity for evidence in advance to calculate Bayesian probablities, I suspect coming up with hypotheses, experiments to test them, and running the experiments might take less time than doing the calculations to develop a hypothesis and running an experiment to test it. Of course, if you are advocating doing away with the final experiment to make sure you didn't make mistakes, I don't see how this is much different from Medieval Scholasticism, except you call your answers probabilities rather than Truth.