noun

• (archaic) A contradiction within a law, or between different laws; also, a contradiction between authorities.
• (by extension) Any contradiction or paradox.
  "The Antinomians: These Gospell-truths, these sweet Sermons of Free-grace, that setting up of naked Christ on his Throne, which hath seduced so many thousands of well-meaning souls, do now appear in their own colours, and to any common eye may be seen to be nothing but the grosse Antinomy of the old Libertines."
• (by extension) Any contradiction or paradox.
  "This introduces the antinomy that has followed us through the whole study. The solution of this antinomy is found in making the Not-me, which interrupts self-consciousness, really reflect self-consciousness, by manifesting the nature of the I—in other words, by making it conform to the ideal of the soul."