We define math. We have tried our best to alter, replace or throw out the definitions we made over time in an attempt to define math into something without contradictions, and with as much generality as possible (meaning that math does not only apply in certain scenarios, it applies as widely as possible).
In doing so, we have created something that is, quote: “unreasonably effective at describing the natural world.” Physics seeks to find the set of rules that describes everything that exists. It uses math as the language to write these rules. But that doesn’t mean math is the set of rules. I think that’s the best analogy I’ve heard. Math is a language. It’s a very precise language, unlike most others. And we can write statements in that language. Those statements may be true or false just like any other language. The rules of the universe may or may not be withing humans’ grasp, but the most effective language we have to write those rules is math.
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