Etymology
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antinomy (n.)

1590s, "contradiction in the laws," from Latin antinomia, from Greek antinomia "ambiguity in the law," from anti "against" (see anti-) + nomos "law" (from PIE root *nem- "assign, allot; take"). From 1802 in the philosophical sense used by Kant, "contradiction between logical conclusions." Related: Antinomic.

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Definitions of antinomy

antinomy (n.)
a contradiction between two statements that seem equally reasonable;
From wordnet.princeton.edu