Source : Webster's Revised Unabridged Dictionary (1913)

Nearness \Near"ness\, n.
   The state or quality of being near; -- used in the various
   senses of the adjective.

Source : WordNet®

nearness
     n : the spatial property resulting from a relatively small
         distance; "the sudden closeness of the dock sent him into
         action" [syn: {closeness}] [ant: {farness}]