Materialism Can't Account for Immaterial Universal Laws Like Math and Logic

Materialism posits that nothing exists beyond the physical. Things like logic and math do not exist in actuality according to this understanding, for they are merely mental conceptions of our neurological chemical brain signals. If this is so, how can the material world be said to exist if we only know of the material would through our senses and experiences that are based on our neurological chemical brain signals? This is the problem with materialism, and also atheism with which materialism usually coincides.

Edit 7/4/2024: I'm reconsidering this argument as it relates to math. Math on a foundational level is perhaps just simply a system of describing certain things in reality like quantities of things and measurements, but there's a lot in math that maybe just has no relation to reality whatsoever. Logic, however, is the principle upon which reality operates. Math should be logical, but maybe there are things that aren't.
I recommend these two videos that are what have gotten me to reconsider the relation of math to this:
https://youtu.be/uBMVJ8Y2u3g?si=i1Se8k8LoZEcdlDf
https://youtu.be/bJh7KGQVG4s?si=G_cBLQNoS8oFoRCO

Courtesy of The Matrix and TreasureChrist.
https://youtu.be/ZJIPD_9neQw

Courtesy of The Matrix and TreasureChrist.
https://youtu.be/ZJIPD_9neQw