I caught your first and last posts, and hopefully can add something.
"Do you think there is a philosophical method, a religious method, or an artistic method to determine independently verifiable facts and information in those subjects? If you think there are, how would they work? How would you get from guesswork to a method?
My opinion is that, no, there are not any such methods..."
All would be subject to their own parameters, wouldn't they? But artistic and religious would meld into philosophical because they are open to interpretation...which philosophical may help with.
If you say there are no methods, then that would come down to a philosophical position, and you cannot parlay that over to the other positions.
It would seem that philosophical wins out over the other two in your estimation...and religion is built atop philosophy, and artistic is built upon personality, and personality is influenced by philosophy, and religion is a mad-man's game where all win and none lose in what is real and what is not.
I guess I stand with an ice-cream on a summer day. That's the only thing that makes sense so far ;)