education vs erudition

education and erudition both are nouns.

Word	Noun	Adjective	Verb	Adverb
education	Yes	No	No	No
erudition	Yes	No	No	No

As nouns, erudition is a hyponym of education; that is, erudition is a word with a more specific, narrower meaning than education:

education (noun)	erudition (noun)
the activities of educating or instructing; activities that impart knowledge or skill	profound scholarly knowledge
the profession of teaching (especially at a school or college or university)
the result of good upbringing (especially knowledge of correct social behavior)
knowledge acquired by learning and instruction
the gradual process of acquiring knowledge