I was glad to read this from Van Til (page 33):

“Romanism assumes that God and man stand in exactly the same sort of relation to the law of contradiction. To think and know truly, it is assumed, both must think in accordance with that law as an abstract from the nature of either. …Hence man’s dealings in the realm of truth are not ultimately with God but with an abstraction that stands above God, with Truth as such.”

He goes into detail with regards to the implications of this for various theological, apologetical and philosophical thinking. I’ve written about this before.

In short, God’s logic is not altogether other than our own capacity for reason. However, his logic is transcendently foundational to our capacity to reason. To sum up what I’ve written, we temporal creatures require the law of contradiction (aka bivalent logic) to reason. That is, we need conceptual contrast to perceive, apprehend and cognitively process an idea. God, however, being eternal, has the law of identity as central to his nature. That means that there can be nothing eternal against which to compare God.

This is why existentialism and its philosophical kin are not viable philosophical systems and why we must move from the error of projecting bivalent logic onto our understanding of God’s knowledge. We must approach an understanding of God’s nature using bivalent logic because that’s the tool that God gave us to use, but God himself is beyond that logic in his sovereign thinking. And as simple as this truth seems, it appears that most people miss it altogether. It’s nice to see that Van Til recognizes it and handles it appropriately.