But languages are logical too. And while mathematics may be taught step by step, that's not how it's learned. Many a student finishes her first semester of calculus feeling that she's missing something. That's quite normal. She'll understand that first semester's work much better after a second semester of study, and even better after a third.
Great mathematics is almost always beautiful.
Superior poets and mathematicians alike have acknowledged that poetry and mathematics share the potential to express profound truths with brevity and elegance. You may argue that mathematics is more than a language, that it is in fact a great body of universal truths. Like any language, though, it can express falsehoods as well as truths. Scientists don't believe their equations are universally true. Equations are descriptions, and no description is complete.