In fact, contrary things are so very often both true at the same time, in different ways.
Figuring out how to live in the uncomfortableness of non-absolutes, how to live in a world filled with dualisms, is IMO one of the primary and necessary maturities for surviving and thriving in this reality.
Yes. Unwillingness to accept contradicting data points is holding many people back. They have an unconscious need to always pick one or the other, and that puts them at a disadvantage. "I know what I think." But no, you do not.