Well said. I will offer an expanded view.
A Yanamamo tribesman comes up from the Amazon. He hears about brilliant men at a local university. He enters the math department and walks up to the desk of the man who is heralded as being the best mind at the university.
He asks the prof "What will I have for lunch tomorrow?"
The math prof tells him to get lost. The native insists that the man is deemed wise, so should know or be able to predict the answer.
Now the natives question is a valid question. And we will someday know the answer.
But math can only answer math questions. Physics can answer (some) questions about particles and waves, but none about art or Martha Stewart's housekeeping methods.
So searching for emperical knowledge has somewhat painted us into a corner.
I remember Art Linkletter when he used to interview children. The amount of wisdom and truth that came from some of those toddlers mouths was way beyond many things I've heard from Nobel prize winners!
Just the nature of things, IMHO.
From Kids say the Darndest Things (paraphrase): Art: If you could be any kind of animal, which one would you be?
Child: A Tomcat!
Art: Why is that?
Child: 'Cause that's what my Daddy says he wishes HE could be!
(I bet I know a Tomcat who spent several nights on the sofa after THAT remark...)
Cheers!