Math is a language, not a science. If you dig into that statement, it turns out to be a very nihilistic view. We should be careful not to fall into the trap o

Math is a language, not a science. If you dig into that statement, it turns out to be a very nihilistic view. We should be careful not to fall into the trap of demoting math to a mere notation. It isn't. It's the truth. Green's Theorem, for instance, is no more just part of a mere language for describing electromagnetic theory than the law of gravity is just part of a mere language for describing, say, spacecraft propulsion. In other words, if math is just a language for physics, physics is just a language for engineering, and we don't have any "sciences" at all ... just languages for higher level disciplines.