For Kant, an antinomy is a pair of faultless arguments in favor of opposite conclusions.
From the en.wikipedia.org
The dual mandate on employment and inflation is a typical antinomy of the double Santa Claus.
From the economist.com
The Major administration vacillated at the antinomy between the two different kinds of microeconomic benefits.
From the economist.com
In logic, Richard's paradox is a semantical antinomy in set theory and natural language first described by the FrenchmathematicianJules Richard in 1905.
From the en.wikipedia.org
A paradox which is in neither class may be an antinomy, which reaches a self-contradictory result by properly applying accepted ways of reasoning.
From the en.wikipedia.org
As well as being centred on the transience of beauty and of human things, the poem points to the specular antinomy between human ideals and natural truth.
From the en.wikipedia.org
More examples
A contradiction between two statements that seem equally reasonable
Antinomy (Greek u1F00u03BDu03C4u03AF, antu00ED, "against, in opposition to," and u03BDu03CCu03BCu03BFu03C2, nu00F3mos, "law") literally means the mutual incompatibility, real or apparent, of two laws. It is a term used in logic and epistemology, particularly in the philosophy of Kant and Roberto Unger.
An apparent contradiction between valid conclusions; a paradox
A paradox in which two contradictory principles are both correct (contrast antimony)
Contradiction of two principles deduced from premises considered to be equally valid.
A contradiction or tension between two or more laws, rules, or principles, each of which is held to be true. See Kant's antinomies
Kant believed that when reason goes beyond possible experience it often falls into various antinomies, or equally rational but contradictory views. Reason cannot here play the role of establishing rational truths because it goes beyond possible experience and becomes transcendent. E.g. ...
An expression in law and logic to indicate that two authorities, laws, or propositions are inconsistent with each other.
Paradox or contradiction; the Coyote or trickster figure in Native American mythology and ceremony (e.g. heyokas) embrace an antinomy, as the Coyote is both a Fool and a Creator