I’d say you’re on the right track, but not quite there.
Yes, math is a set of rules to describe what we observe. But it’s important to recognize that it only describes what we observe, not the truth. It’s a useful tool to understand the universe around us.
And strictly speaking, everything around us is not information, just described by large amounts of information. And we don’t really discover the rules, we invent them. We invent rules that allow us to describe what we see and predict what we will see.
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