Search Result for "contradictoriness": 
Wordnet 3.0

NOUN (1)

1. the relation that exists when opposites cannot coexist; 



The Collaborative International Dictionary of English v.0.48:

Contradictoriness \Con"tra*dict`o*ri*ness\, n.
   The quality of being contradictory; opposition;
   inconsistency. --J. Whitaker.
   [1913 Webster]


WordNet (r) 3.0 (2006):

contradictoriness
    n 1: the relation that exists when opposites cannot coexist