I guess some people call almost everything "a language". Is music a language? Is mathematics a language? I really think they aren't, but have no idea on how to explain it. Thank you.

I wonder why you disapprove of the description, since they are clearly languages, it seems to me. They have a syntax and a semantics, a structure of meaning and rules that are meant to be followed but can be varied in particular instances. Just like a language.

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