keenness in WordNet English dictionary

1. a quick and penetrating intelligence
   "he argued with great acuteness"; "I admired the keenness of his mind"
   acuteness  acuity  sharpness  keenness 
   
2. a positive feeling of wanting to push ahead with something
   eagerness  avidity  avidness  keenness 
   
3. thinness of edge or fineness of point
   sharpness  keenness