This is the kind of reasoning we get when we assert that non-physical, non-material things exist. You may recall that over the past couple threads I have argued that concepts (like the number 2) are physical because they exist as ideas in our heads — and ideas in our heads have a physical component. They are structured by the interconnection of neurons in our brains — something I think we can all agree is physical. Outside of the “idea” of 2, I am not willing to say that 2 exists… but I am, as always, open to arguments!
In any case, here is a Young Earth Creationist using the notion that ideas (logical proofs in this case) are non-physical, non-natural “objects” and therefore necessitate, among other things, the existence of God, the truth of the Bible, and a 6000 year old earth.
If naturalism were true, it would be impossible to prove anything. Proofs involve use of the laws of logic, such as the law of non-contradiction, which says that you can’t have A, and not-A at the same time and in the same relationship. The laws of logic are not part of nature. They are not part of the physical universe. So, if nature ( the physical universe) is all that exists and if laws of logic are not part of nature, then they can’t exist. But they are required for rational reasoning. So, the naturalist view is actually self-refuting. So the naturalist view is actually self-refuting. If it were true, it would be impossible to reason. Yet naturalism is what secular scientists use as the foundation for their thinking. We will show why this explains many of the incorrect conclusions drawn by secular scientists, such as evolution and an old Earth.
The bold and underline is mine. You can read a full review of the book this quote came from here.