"keenness" in the noun sense
1. acuteness, acuity, sharpness, keenness
a quick and penetrating intelligence
"he argued with great acuteness"
"I admired the keenness of his mind"
2. eagerness, avidity, avidness, keenness
a positive feeling of wanting to push ahead with something
3. sharpness, keenness
thinness of edge or fineness of point
Source: WordNet® (An amazing lexical database of English)
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