antinomy

noun3

1. •
   Any contradiction or paradox.
2. •
   In the thought of the German philosopher Immanuel Kant (1724–1804): an apparent contradiction between valid conclusions; a paradox.

   • Of the work that has been done on the liar antinomy, possibly the most profound and certainly the most influential has been that of Tarski — 1991
3. •
   (no longer used) A contradiction within a law, or between different laws; also, a contradiction between authorities.