acuteness vs sensibility

acuteness and sensibility both are nouns.

Word	Noun	Adjective	Verb	Adverb
acuteness	Yes	No	No	No
sensibility	Yes	No	No	No

As nouns, sensibility is a hypernym of acuteness; that is, sensibility is a word with a broader meaning than acuteness:

acuteness: a sensitivity that is keen and highly developed
sensibility: (physiology) responsiveness to external stimuli; the faculty of sensation

Other hypernyms of acuteness include sensitiveness, sensitivity.

acuteness (noun)	sensibility (noun)
the quality of having a sharp edge or point	mental responsiveness and awareness
a quick and penetrating intelligence	(physiology) responsiveness to external stimuli; the faculty of sensation
a sensitivity that is keen and highly developed	refined sensitivity to pleasurable or painful impressions