The Collaborative International Dictionary of English v.0.48:

Animality \An`i*mal"i*ty\, n. [Cf. F. animalit['e].]
   Animal existence or nature. --Locke.
   [1913 Webster]

WordNet (r) 3.0 (2006):

animality
    n 1: the physical (or animal) side of a person as opposed to the
         spirit or intellect [syn: animality, animal nature]