You recommend Howson & Urbach's "Scientific Reasoning: The Bayesian Approach." However, ET Jaynes had some fairly harsh things to say about this book in the References section of PT:LoS:

A curiously outdated work, which might have served a useful purpose 60 years earlier. Mostly a rehash of all the false starts of philosophers in the past, while offering no new insight into them and ignoring the modern developments by scientists, engineers, and economists which have made them obsolete. What little positive Bayesian material there is represents a level of understanding that Harold Jeffreys had surpassed 50 years earlier, minus the mathematics needed to apply it. They persist in the pre-Jeffreys notation, which fails to indicate the prior information in a probability symbol, take no note of nuisance parameters, and solve no problems.

I'm not sure if this is the kind of thing that I expect Jaynes to be right about though. He would certainly know what modern developments were missing, but I don't know if he can judge what's needed in a textbook on philosophy of science.

Are his criticisms here correct? Instead of reading Howson & Urbach, should I be looking for a book that contains what Jaynes says it's missing, and does not contain what Jaynes says is obselete?