keenness

(noun) a quick and penetrating intelligence. Synonyms: acuteness, acuity, sharpness. Examples: "He argued with great acuteness." "I admired the keenness of his mind."

(noun) a positive feeling of wanting to push ahead with something. Synonyms: eagerness, avidity, avidness.

(noun) thinness of edge or fineness of point. Synonyms: sharpness.