1. A contradiction.

Nuttall's Standard dictionary of the English language By Nuttall, P.Austin

• anology,
• zntilogy,
• sntilogy,
• wntilogy,
• qntilogy,
• abtilogy,
• amtilogy,
• ajtilogy,
• ahtilogy,
• anrilogy,
• anfilogy,
• anyilogy,
• an6ilogy,
• an5ilogy,
• antiligy,
• antillogy,
• Antalagy,
• Antologgy,
• Antiligoy,
• Antilagy

The adjective form of the word "antilogy" is "antilogical".

The plural of the "Antilogy" can be the "antilogies".

The singular of the "Antilogy" can be the "Antilogy".