And there is no mathematical proof of Bayesian epistemology. Bayes' theorem itself is a bit of math/logic which everyone accepts (including Popper of course). But Bayesian epistemology is an application of it to certain philosophical questions, which leaves the domain of math/logic, and there is no proof that application is correct.
Incorrect. E.T. Jaynes book Probability Theory: The Logic of Science gives a proof in the first two chapters.
Replied here:
http://lesswrong.com/r/discussion/lw/54u/bayesian_epistemology_vs_popper/
I have just rediscovered an article by Max Albert on my hard drive which I never got around to reading that might interest others on Less Wrong. You can find the article here. It is an argument against Bayesianism and for Critical Rationalism (of Karl Popper fame).
Abstract:
Any thoughts?