Source : Webster's Revised Unabridged Dictionary (1913)

Keenness \Keen"ness\, n.
   The quality or state of being keen.

Source : WordNet®

keenness
     n 1: a quick and penetrating intelligence; "he argued with great
          acuteness"; "I admired the keenness of his mind" [syn: {acuteness},
           {acuity}, {sharpness}]
     2: a positive feeling of wanting to push ahead with something
        [syn: {eagerness}, {avidity}, {avidness}]
     3: thinness of edge or fineness of point [syn: {sharpness}]
        [ant: {dullness}]