The Collaborative International Dictionary of English v.0.48:

Whiteness \White"ness\, n. [AS. hw[imac]tness.]
   1. The quality or state of being white; white color, or
      freedom from darkness or obscurity on the surface.
      --Chaucer.
      [1913 Webster]

   2. Want of a sanguineous tinge; paleness; as from terror,
      grief, etc. "The whiteness in thy cheek." --Shak.
      [1913 Webster]

   3. Freedom from stain or blemish; purity; cleanness.
      [1913 Webster]

            He had kept
            The whiteness of his soul, and thus men o'er him
            wept.                                 --Byron.
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   4. Nakedness. [Obs.] --Chapman.
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   5. (Zool.) A flock of swans.
      [1913 Webster]

WordNet (r) 3.0 (2006):

whiteness
    n 1: the quality or state of the achromatic color of greatest
         lightness (bearing the least resemblance to black) [syn:
         white, whiteness] [ant: black, blackness,
         inkiness]
    2: the state of being unsullied by sin or moral wrong; lacking a
       knowledge of evil [syn: purity, pureness, sinlessness,
       innocence, whiteness]
    3: lightness or fairness of complexion; "only the whiteness of
       her cheeks gave any indication of the stress from which she
       was suffering"