XiXiDu comments on Bayesianism versus Critical Rationalism - Less Wrong
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For people like me who have no clue, if you scroll down a bit here there is a comparison (so you get a vague idea):
More here:
And of course Critical rationalism:
FYI that is a misleading statement of Critical Rationalism.
For one thing, Popper was not a "belief philosopher" so he wouldn't have stated it quite like that.
There are a lot of misleading statements about CR floating around. Most come from its opponents trying to make sense of it on their own terms. In trying to formulate it in a way that makes sense given their anti-CR premises, they change it. It's best to read primary sources for this.
I'll add that a decent summary of the position espoused in Where recursive justification hits bottom (linked in the grandparent) is that critical rationalism (or something like it) entails objective Bayesianism. It both entails the use of Baye's rule to update on information and it entails a set of correct priors.
Thanks for helping me realize that Critical Rationalism and Bayesianism can be compliments rather than substitutes.