Antilogy is a word that refers to contradictions or inconsistencies in statements or arguments. While there aren't necessarily direct antonyms for this word, there are words that can be used to describe the opposite of antilogy. For example, words like harmony, coherence, agreement, and consistency can all be used to describe situations where there are no contradictions or inconsistencies. These words represent the opposite of antilogy, where instead of conflicting ideas, there is a sense of unity and agreement. Other antonyms for antilogy may include uniformity, conformity, and consensus, all of which suggest a lack of conflicting or contradictory ideas.