philology vs liberal arts

philology and liberal arts both are nouns.

Word	Noun	Adjective	Verb	Adverb
philology	Yes	No	No	No
liberal arts	Yes	No	No	No

As nouns, liberal arts is a hypernym of philology; that is, liberal arts is a word with a broader meaning than philology:

philology: the humanistic study of language and literature
liberal arts: studies intended to provide general knowledge and intellectual skills (rather than occupational or professional skills)

Other hypernyms of philology include arts, humanistic discipline, humanities.

philology (noun)	liberal arts (noun)
the humanistic study of language and literature	studies intended to provide general knowledge and intellectual skills (rather than occupational or professional skills)