>>12263670Mathematicians actually know how to write. Any recommended pure math textbook is written so that all the information is clearly laid out and easy to reference later. They provide just the right amount of exposition; enough to make you understand its importance, but they don't waste time tediously going into deep detail over things that would be easy enough for the reader to figure out. The tools for any exercise are all given in the preceding sections, and therefore the difficulty of the exercises will generally be inversely proportional to your understanding.
On the other hand, physicists cannot exposit at all. To explain something new to someone, they can only talk in the analogies which they were told when learning. Otherwise, they'll use jargon that was never properly defined - and the only people who have ever bothered to define such terms are mathematicians.
I'm almost completely convinced that the ultimate goal of math is to teach people and progress the field, while the ultimate goal of physics is to appear superior to others behind a veil of jargon and condescension.
