Typography is the art and technique of arranging type in order to make language visible.
Typography and printing, the mechanical processes by which the plans of the typographer are realized, are useful arts.
Though there is indeed fine typography, typography is not a fine art. Books, the primary source of typographic examples, are written in the main by people with something to say; they are selected for printing in the main by publishers who see merit and hope for profit in disseminating the statements of the writers to an audience; properly they are edited and designed and printed in the main by craftsmen whose boundaries are responsive for them by considerations germane to the needs of the writers to communicate and the needs of the readers to understand and appreciate.
The typographer exists not to express his own design preferences, his own aesthetic needs, but to provide a useful (because usable) connection between someone with something to say and someone to say it to.