The Collaborative International Dictionary of English v.0.48:

Ebriosity \E`bri*os"i*ty\ ([=e]`br[i^]*[o^]s"[i^]*t[y^]), n. [L.
   ebriositas, from ebriousus given to drinking, fr. ebrius. See
   Ebriety.]
   Addiction to drink; habitual drunkenness.
   [1913 Webster]