Contrariety

Con`tra*ri"e*ty (?) n.; pl. Contrarieties (#). [L. contrarietas: cf. F. contrariété.] 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.

Syn. -- Inconsistency; discrepancy; repugnance.