As stated in my original comment, confirmation is only half the problem to be considered. The other half is inductive inference which is what many people mean when they refer to Bayesian inference. I’m not saying one way is clearly right and the other wrong, but that this is a difficult problem to which the standard solution may not be best.
You’d have to read the Andrew Gelman paper they’re responding to to see a criticism of confirmation.
As stated in my original comment, confirmation is only half the problem to be considered. The other half is inductive inference which is what many people mean when they refer to Bayesian inference. I’m not saying one way is clearly right and the other wrong, but that this is a difficult problem to which the standard solution may not be best.
You’d have to read the Andrew Gelman paper they’re responding to to see a criticism of confirmation.