[srean]

> Even the expert opinions that Bayesian methods embed as priors -- many of those are subjective priors which are not 100% rational.

Of course ! Like big bang it needs one initial allowable 'miracle' and does not let irrationality creep in through other back doors.

As I mentioned earlier, I choose the formulation that suits the question that needs answering.

Not sure about the 'what works' vs 'analytic correctness'. How would even one know that something works or have a hunch about what may succeed if they have no mental model to base it upon. Often that is implicit and not sharp enough to be quantitative. Bayesian formulation helps in making some of those implicit assumptions explicit.

Other than that I think we mostly agree. For example both the formulations have a notion of a completely defined sample space, the universe of all possible outcomes. That works in a game of gambling. In business often you do not know this set.

Anyhow, nice talking to you. I enjoyed the conversation.