The Collaborative International Dictionary of English v.0.48:

Sensibility \Sen`si*bil"i*ty\, n.; pl. Sensibilities. [Cf. F.
   sensibilit['e], LL. sensibilitas.]
   1. (Physiol.) The quality or state of being sensible, or
      capable of sensation; capacity to feel or perceive.
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   2. The capacity of emotion or feeling, as distinguished from
      the intellect and the will; peculiar susceptibility of
      impression, pleasurable or painful; delicacy of feeling;
      quick emotion or sympathy; as, sensibility to pleasure or
      pain; sensibility to shame or praise; exquisite
      sensibility; -- often used in the plural. "Sensibilities
      so fine!" --Cowper.
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            The true lawgiver ought to have a heart full of
            sensibility.                          --Burke.
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            His sensibilities seem rather to have been those of
            patriotism than of wounded pride.     --Marshall.
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   3. Experience of sensation; actual feeling.
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            This adds greatly to my sensibility.  --Burke.
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   4. That quality of an instrument which makes it indicate very
      slight changes of condition; delicacy; as, the sensibility
      of a balance, or of a thermometer.
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   Syn: Taste; susceptibility; feeling. See Taste.
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WordNet (r) 3.0 (2006):

sensibility
    n 1: mental responsiveness and awareness [syn: sensibility,
         esthesia, aesthesia] [ant: insensibility]
    2: refined sensitivity to pleasurable or painful impressions;
       "cruelty offended his sensibility"
    3: (physiology) responsiveness to external stimuli; the faculty
       of sensation; "sensitivity to pain" [syn: sensitivity,
       sensitiveness, sensibility]