Math is not at all the manipulation of symbols though. That is one of many tools that is useful in doing math, but it is not the only one. The famous proof th

Math is not at all the manipulation of symbols though. That is one of many tools that is useful in doing math, but it is not the only one. The famous proof that there are an infinite number of prime numbers is normally expressed in plain English (or your language of choice) without a symbol in sight, for one example. Math, fundamentally, is about abstract concepts, not symbols.