Some truths are mathematically outside the reach of the human brain, despite its abilities. As pure mathematics has shown us, some propositions cannot be proved or disproved from within a given system. They require a way of getting “outside the box” in order to gain information about them that could lead to a proof or disproof of an assertion.

Our inherent inability to penetrate our cosmic past to a level that could get us back to the Big Bang and whatever caused it may be our main stumbling block on the way to understanding where we came from, why we came here, where we are going, and who or what made us. In any logical system there are unprovable  assertions, and the question of God may well be one of these unknowns — forever to remain outside our reach.

Why Science Does Not Disprove God
Amir D. Aczel