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Bayesianism is a rationalist ideology that attempts to rescue eternalism’s promise of certainty, in the face of nebulosity, with probability theory. This is an instance of the continuum gambit. It is a wrong-way reduction inasmuch as it requires you to somehow assign a real number to every possible hypothesis, which is much more difficult than actually effective ways of dealing with uncertainty.
It is widely noted that Bayesianism operates as a quasi-religious cult. This is not just my personal hobby-horse.
Debunking Bayesianism is a complex, technical subject. I’ve refuted one of its specific mistaken claims in “Probability theory does not extend logic.” I’ve made some more general, off-hand, preliminary remarks here and in “How to think real good.”
To deflect some classes of possible objections from Bayesians:
- I will not take any position on the truth of Bayesian vs. frequentist metaphysics.
- I will not take any position on the usefulness of Bayesian vs. frequentist statistical methods.
- I will not argue that Bayesian methods are not sometimes useful in practice.
None of those are relevant. The point, rather, is that Bayesianism promises meta-certainty, but cannot deliver.