Contrariety
CONTRARIETY, noun [Latin See Contrary.]
1. Opposition in fact, essence, quality or principle; repugnance. The expedition failed by means of a contrariety of winds. There is a contrariety in the nature of virtue and vice; of love and hatred; of truth and falsehood. Among men of the same profession, we find a contrariety of opinions.
2. Inconsistency; quality or position destructive of its opposite.
How can these contrarieties agree.