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The Collaborative International Dictionary of English v.0.48:

Antilogy \An*til"o*gy\ ([a^]n*t[i^]l"[-o]*j[y^]), n.; pl. Antilogies (-j[i^]z). [Gr. 'antilogi`a, fr. 'anti`logos contradictory; 'anti` against + le`gein to speak.] A contradiction between any words or passages in an author. --Sir W. Hamilton. [1913 Webster]