people sometimes say math is a language. A language to describe what?
“Math” is so broad that the answer is anything that can be described precisely.
But focusing on standard schooling, let’s say from algebra through precalculus, calculus, and… well, ideally differential equations and linear algebra, though that’s not really standard. What is this a language for? It’s a language for relationships between quantities.
i don’t think you really learn a language for describing quantitative relationships, separately from learning about quantitative relationships? I wouldn’t really say math is a language.
But it kiind of is. What you learn in calculus classs is like… how to describe the relationships between the important quantitites in your physics, chemistry, biology or economics classes.
it’s got a recursive grammar and syntax and semantics, so if nothing else it’s a language in that sense.
Gödel’s incompleteness theorems basically say that specifically this is not true.