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ibidem comments on Open Thread, May 1-14, 2013 - Less Wrong
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It's certainly an important point, but I think that atheists tend to overuse it. I can't begin to criticize Bayesian reasoning, especially not here.
Bayesian probabilistic reasoning is the unique (up to isomorphism) generalization of Aristotelian (two-valued) logic to reasoning about uncertainty. You can't throw it out without inconsistency.
I never tried to. I know exactly how Bayes' Theorem is mathematically derived and I won't try to contest that.