'antilogy' originates from Greek, specifically the word 'ἀντιλογία' (antilogía), where 'anti-' meant 'against' and 'logía' (from 'logos') meant 'speech' or 'reason'.

'antilogy' entered English via Late Latin/Medieval Latin 'antilogia' from the Greek 'ἀντιλογία' and eventually became the modern English word 'antilogy'.

Initially it meant 'opposition or contradiction in speech', but over time it evolved into its current meaning of 'a contradiction or logical inconsistency'.