The other side is the "abstract" (the opposite of rational isn't irrational) element, where reason is inductive, and we can notice patterns in the stories we tell each other. That's the purpose of an archetype, and why Joseph Campbell's work lives on. If you want a good primer on this, pick up a copy of "He" by Robert A. Johnson. It's an easy read.
The purpose of telling a "myth" or sharing an archetype is to communicate something that is true about life, and let the listener induce the meaning. Deductive reasoning has its place, particularly where startups who have to make revenue or die are concerned, but sometimes the answer isn't one we can verbalize. We just "know it." Like Malcolm Gladwell pointed out in "Blink," Einstein's Theory of Relativity popped into his head suddenly one day, and he had to spend the next several years backtracking so he could prove what his mind had unconsciously put together.
I guess my point is that, just because something isn't based in sensory reality, doesn't make it false.