> Do you think we should seriously explore them as well?
Why not? I find it quite astonishing how often starting with verifiably false assumptions leads to worthwhile results. Your tower of reason is a decent construction. I find it a nice place to visit, but sometimes I prefer the woods. A mind too well-ordered misses the faults in its own assumptions.
"Why not?" - because we only have so much time to make use of. If you'd prefer to live as ignorance is bliss ("the woods") - that's a valid choice, but valid doesn't mean it's consistent with the truth (a.k.a. what science is trying to get close to). To find fault with the mind - one must constantly question their assumptions - in this article: religion.
Why not? I find it quite astonishing how often starting with verifiably false assumptions leads to worthwhile results. Your tower of reason is a decent construction. I find it a nice place to visit, but sometimes I prefer the woods. A mind too well-ordered misses the faults in its own assumptions.