Source : Webster's Revised Unabridged Dictionary (1913)

Universality \U`ni*ver*sal"i*ty\, n.; pl. {Universalties}. [Cf.
   F. universalit['e].]
   The quality or state of being universal; unlimited extension
   or application; generality; -- distinguished from
   particularity; as, the unversality of a proposition; the
   unversality of sin; the unversality of the Deluge.

Source : WordNet®

universality
     n : the quality of being universal; existing everywhere [syn: {catholicity}]