WordNet sense 1 (having or showing profound knowledge):

erudite

WordNet sense 2 (characteristic of scholars or scholarship):

scholarly

WordNet sense 3 (established by conditioning or learning):

conditioned

WordNet sense 4 (not inheritable):

nonheritable, noninheritable

WordNet sense 5 (highly educated; having extensive information or understanding):

enlightened, knowing, knowledgeable, lettered, well-read, well-educated

WordNet sense 6 (possessing an education (especially having more than average knowledge)):

educated