The Collaborative International Dictionary of English v.0.48:
Nearness \Near"ness\, n. The state or quality of being near; -- used in the various senses of the adjective. [1913 Webster]WordNet (r) 3.0 (2006):
nearness n 1: the spatial property resulting from a relatively small distance; "the sudden closeness of the dock sent him into action" [syn: nearness, closeness] [ant: farawayness, farness, remoteness]