The Collaborative International Dictionary of English v.0.48:

Contrariness \Con"tra*ri*ness\, n.
   state or quality of being contrary; opposition;
   inconsistency; contrariety; perverseness; obstinacy.
   [1913 Webster]

WordNet (r) 3.0 (2006):

contrariness
    n 1: deliberate and stubborn unruliness and resistance to
         guidance or discipline [syn: contrariness, perversity,
         perverseness]
    2: a fussy and eccentric disposition [syn: crankiness,
       crotchetiness, contrariness, grumpiness]