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

'antilogy' changed from Greek 'antilogia' into Medieval/Latin forms (e.g. Latin 'antilogia') and entered Middle English as 'antilogie', eventually becoming the modern English word 'antilogy'.

Initially, it meant 'speaking against' or 'opposition in speech', but over time it evolved into its current meaning of 'contradiction' or 'mutually incompatible statements'.