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]