What’s remarkable about the reality of universals as proof for God’s existence is that it points in a simple and clear way to some of God’s attributes, such as infinity, eternity, and omnipotence. To see how, consider again the set of natural numbers, which is infinite. Therefore:
The Mind that contains them must itself be infinite.
Because the Mind in which natural numbers exists is infinite, it is also omnipotent. Limitations on power are finite and are inconsistent with an infinite Mind.
Because numbers exist independently of the material universe, they are eternal (e.g., the truth that 1+1=2 is independent of time) and thus the Mind that contains them is eternal.
I find the Augustinian Proof of God’s existence via the reality of universals in the Divine Mind a compelling proof. It is a highly satisfying and an even beautiful concept — our abstract thoughts have a real existence in the Mind of our Creator, and we, who are created in His image, participate in His thoughts.Michael Egnor, “Mathematics can prove the existence of God” at Mind Matters News (July 31, 2022)
Takehome: Because mathematics can show infinity, eternity, and omnipotence, it can only have proceeded from a mind with those characteristics. That’s God.
You may also wish to read: The Divine Hiddenness argument against God’s existence = nonsense. God in Himself is immeasurably greater than we are, and He transcends all human knowledge. A God with whom we do not struggle — who is not in some substantial and painful way hidden to us — is not God but is a mere figment of our imagination. (Michael Egnor)