The Collaborative International Dictionary of English v.0.48:

Nescience \Nes"cience\, n. [L. nescientia, fr. nesciens, p. pr.
   of nescire not to know; ne not + scire to know.]
   Want of knowledge; ignorance; agnosticism.
   [1913 Webster]

         God fetched it about for me, in that absence and
         nescience of mine.                       --Bp. Hall.
   [1913 Webster]

WordNet (r) 3.0 (2006):

nescience
    n 1: ignorance (especially of orthodox beliefs) [syn:
         ignorantness, nescience, unknowing, unknowingness]

Moby Thesaurus II by Grady Ward, 1.0:

31 Moby Thesaurus words for "nescience":
   agnosticism, blankmindedness, callowness, empty-headedness,
   greenhornism, greenness, hiatus of learning, ignorance,
   ignorantism, ignorantness, inanity, inexperience, innocence,
   know-nothingism, knowledge-gap, lack of information, obscurantism,
   rawness, simpleness, simplicity, tabula rasa, unacquaintance,
   unacquaintedness, unawareness, unfamiliarity, unintelligence,
   unknowing, unknowingness, unripeness, vacuity, vacuousness