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fubarobfusco comments on Zen and the Art of Rationality - Less Wrong
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Another angle: any method you use to get at the truth is only a method. If something better than Bayes is developed, then there's no obligation of loyalty to Bayes.
If I understand the math correctly (this is always in doubt) — In order to be better than Bayes, it would have to be not equivalent to Bayes; and therefore to violate one of Cox's postulates.
That said, it's not hard to imagine an implementation of Bayes substantially better than explicit, conscious, language-based, numerical reasoning augmented with kludgy workarounds for discovered biases.