Contrariety

n.	1.	The state or quality of being contrary; opposition; repugnance; disagreement; antagonism. There is a contrariety between those things that conscience inclines to, and those that entertain the senses. - South.
	2.	Something which is contrary to, or inconsistent with, something else; an inconsistency. How can these contrarieties agree? - Shak.

Noun

1.

contrariety - the relation between contraries

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