There are two modes of processing information. Analytical and Intuitive. [1]
Intuition aids in analytical thinking by offering us starting point, it tells us to “dig here.” It gives us this starting point by drawing upon patterns picked up and refined by a wealth of past experience. [2]
Science is a structure built from analysis. We use analysis to lead us to extract truth from nature via reason and observation.
Religion is a structure built from intuition. We use intuition to find God from experience via pattern detection and feeling.
Religion and science are parallel structures. Truth comes from a process ending in reason, as truth cannot be found without language and thought. God comes from a process ending in intuition, as it is transcendent, and cannot be found without feeling and belief.
According to the bible, god’s word structured reality, and his word is truth. Theoretically, this means that truth about the structure of reality is to be found in nature. You cannot search for truth if you do not believe there is a possibility of it being there. This may have been some of the ingredients for starting the scientific revolution. Religion leading to science, like intuition leading to analysis. Can God likewise lead us to truth?
BTW, this is not a proof of God. It is at most the statement that I cannot logically prove God the same way I cannot feel or intuit my way to scientific truth.
[1]: Dual Process Theory: Two Ways to Think and Decide – Global Cognition
[2]: What Is Intuition and Why Is It Important? 5 Examples (positivepsychology.com)