From your last line, I think its unlikely that unlikely that this is going to be productive. It sounds like you think that epistemology is simply erudite nonsense and philosophers need to just accept probably Bayesianism or the scientific method or something. I think this is quite disappointing, mathematicians could have similarly dismissed attempts to ground calculus in something other than loose arguments of the form "well it works what more do you want" but we would have a much less rich and stable field as a result. But if this is a mischaracterization of your view of epistemology then please let me know.
It sounds like you think that epistemology is simply erudite nonsense
Much of it is, yes.
philosophers need to just accept probably Bayesianism or the scientific method or something.
This would require that "Bayesianism" or "the scientific method" or "or something" actually be a full, formalized solution to How to Reason Inductively. We currently possess no such solution; this does not, by any means, mean that no such solution can exist and we all have to resort to throwing intuitions at each-other or adopt broad skeptici...
Just came across this interview with Robert Aumann. On pgs. 20-27 he describes why and how he believes in Orthodox Judaism. I don't really understand what he's saying. Key quote (I think):
Anybody have a clue what he means by all this? Do you think this is a valid way of looking at the world and/or religion? If not, how confident are you in your assertion? If you are very confident, on what basis do you think you have greatly out-thought Robert Aumann?
Please read the source (all 7 pages I referenced, rather than just the above quote), and think about it carefully before you answer. Robert Aumann is an absolutely brilliant man, a confirmed Bayesian, author of Aumann's Agreement Theorem, Nobel Prize winner, and founder / head of Hebrew University's Center for the Study of Rationality. Please don't strawman his arguments or simply dismiss them!