The Collaborative International Dictionary of English v.0.48:

erudite \er"u*dite\ ([e^]r"[-u]*d[imac]t; 135), a. [L. eruditus,
   p. p. of erudire to free from rudeness, to polish, instruct;
   e out + rudis rude: cf. F. ['e]rudit. See Rude.]
   Characterized by extensive reading or knowledge; well
   instructed; learned. "A most erudite prince." --Sir T. More.
   "Erudite . . . theology." --I. Taylor. -- er"u*dite`ly,
   adv. -- er"u*dite`ness, n.
   [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

eruditeness \er"u*dite`ness\ ([e^]r"[-u]*d[imac]t`n[e^]s), n.
   profound knowledge.

   Syn: erudition, learnedness, learning, scholarship.
        [WordNet 1.5]

WordNet (r) 3.0 (2006):

eruditeness
    n 1: profound scholarly knowledge [syn: eruditeness,
         erudition, learnedness, learning, scholarship,
         encyclopedism, encyclopaedism]