keenness
Definition of keen (adj)
1a: intellectually alert : having or characteristic of a quick penetrating mindb: extremely sensitive in perception
c: sharply contestedkeen competition
2a(1): showing a quick and ardent responsiveness : ENTHUSIASTIC
(2): EAGER
b of emotion or feeling : INTENSE
3: WONDERFUL, EXCELLENT
4a: having a fine edge or point : SHARP
b: affecting one as if by cutting
c: pungent to the sense
5: very enthusiastic or excited about
Source