Keenness
The Century Dictionary and Cyclopedia
noun.
The state or quality of being keen in any sense of that word; sharpness; acuteness; intensity.
the GNU version of the Collaborative International Dictionary of English
noun.
The quality or state of being keen.
Wiktionary, Creative Commons Attribution/Share-Alike License
noun.
sharpness
or
cutting
ability
noun.
astuteness
or
sagacity
WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
noun.
a positive feeling of wanting to push ahead with something
noun.
a quick and penetrating intelligence
noun.
thinness of edge or fineness of point