Logic does not exist in a physical sense, but try to think without it. For example, try to think without the law of noncontradiction. Can you categorize?

I tried quite a lot. I've come to the conclusion that thinking (and logic) is probably some pattern that only seems interesting to itself.

(Yes, I am aware of the otherwise nonsensical concepts "pattern" and "interesting".)

My instantiation of logic isn't physicalized? Is there unphysicallized logic?