Our brains are essentially pattern-recognition and future-predicting machines. We are also social creatures, and thus have developed language.
Math is definitely a very human extension of all these things. It is likely math is one step removed from the true nature of things.
Some models just seem to just miss the mark, and it becomes obvious when you imagine just how much computational power we would need to accurately simulate everything, if at all possible.
So yes, they are a set of rules humanity has iterated on to describe things as best we can in the way our brains can translate. It is possible some things may beyond the scope of (current) mathematical language though.
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