Originally, the practitioners of the arts of language recognized that they were as essential in studying biology or chemistry as in literature or philosophy. The unity of the university coalesced in the single endeavor of producing persons who were adept at manipulating symbols. Grammar is the art of using words to refer to themselves or, more broadly, grammar is the art that identifies and properly employs structures and elements. Thus, there is a grammar of chemistry or music as well as a grammar of the natural languages. According to this view, the science teacher instructs students in the appropriate use of the elements or categories of his discipline in a fashion analogous to that of the language teacher since the science teacher is also a kind of language teacher awakening his students to the peculiar vocabulary of his science.
Logic is the art of argumentation, as necessary for mathematics as for making sense of a novel.
Rigorous thinking follows general lines in any rational endeavor. Skill in practice of scientific logic prepares the student to think about politics or computers. Logic is the art of producing and evaluating universals. No serious study in any field can do without these most general concepts. Finally, rhetoric is the art of persuasive speech.