'anti-polemical' originates from Greek elements: the prefix 'anti-' (Greek 'anti') meaning 'against' and 'polemical' from Greek 'polemikos' meaning 'warlike' or 'hostile', via Latin and French into English.

'polemikos' (Greek) gave rise to Late Latin/French forms that entered English as 'polemical' in Middle English; the productive prefix 'anti-' was then attached to form 'anti-polemical' in modern English.

Initially related to being 'against hostility' or 'warlike' (from Greek roots), the compound came to mean 'against polemical argument' or simply 'not inclined toward controversial/argumentative discourse' in current usage.