scholarship vs eruditeness

scholarship and eruditeness both are nouns.

Word	Noun	Adjective	Verb	Adverb
scholarship	Yes	No	No	No
eruditeness	Yes	No	No	No

As nouns, scholarship and eruditeness are synonyms defined as:

Other synonyms of scholarship include encyclopaedism, encyclopedism, erudition, learnedness, learning.

scholarship (noun)	eruditeness (noun)
profound scholarly knowledge	profound scholarly knowledge
financial aid provided to a student on the basis of academic merit