Antinomy

n.	1.	Opposition of one law or rule to another law or rule. Different commentators have deduced from it the very opposite doctrines. In some instances this apparent antinomy is doubtful. - De Quincey.
	2.	An opposing law or rule of any kind. As it were by his own antinomy, or counterstatute. - Milton.
	3.	(Metaph.) A contradiction or incompatibility of thought or language; - in the Kantian philosophy, such a contradiction as arises from the attempt to apply to the ideas of the reason, relations or attributes which are appropriate only to the facts or the concepts of experience.

Noun

1.

antinomy - a contradiction between two statements that seem equally reasonable

ANTINOMY. A term used in the civil law to signify the real or apparent contradiction between two laws or two decisions. Merl. Repert. h.t. Vide Conflict of Laws.

ambiguity, ambivalence, asymmetry, disproportion, disproportionateness, equivocality, equivocation, heresy, heterodoxy, heterogeneity, incoherence, incommensurability, incompatibility, incongruity, inconsistency, inconsonance, irony, irreconcilability, nonconformability, nonconformity, oxymoron, paradox, self-contradiction, unconformability, unconformity, unorthodoxy