Jeffro,
The reason that you and I both subsribe to, use & have total faith in the laws of logic is because we both know the God of the bible. (Romans 1: 18) We are all "without excuse". You were made in his image same as I and use his inventions same as I do. You know those laws don't change because God "changes not." He is the source of your confidence in reason - truths we agree upon.
What other conclusion could a thinking person come to?
You claim that an assumption of chaos, chance, and physicality can create non-physical, stable and complex conceptual truths from such a source. It makes no sense.
Your worldview is inconsistent and that should be a big red flag to correct course. And, that should matter to you.... logically speaking.