“The beginning of ANY science requires intuition.”
It doesn’t end there though.
“Some philosophers call this the light of the natural reason. Otherwise why even speak of truth or the ability to know about external reality?”
This follows my point more closely than yours actually. Should one reject scientific results like the age of the earth because it doesn’t agree with a theological teaching, why even study anything? Just rely on intuition which is the divine truth?
Robert Gentry gave the geological dating community a polonium sandwich.