'anti-dogmatically' originates from modern English, formed from the prefix 'anti-' (from Greek 'anti-' meaning 'against'), the adjective 'dogmatic' (ultimately from Greek 'dogma' meaning 'opinion' or 'that which seems true' via Latin/French), and the adverbial suffix '-ally' (from Latin '-alis').

'anti-dogmatically' developed as a compound: 'anti-' + 'dogmatic'. 'Dogmatic' came into English via Latin 'dogmaticus' (from Greek 'dogmatikos' based on 'dogma'), through Old/Middle French and Middle English; the adverbial form was then formed by adding the suffix '-ally' to create 'dogmatically' and thus 'anti-dogmatically'.

Initially the components signified 'against' + 'opinion' (i.e. 'against asserted doctrines'); over time the compound has come to be used adverbially to mean 'in a non-dogmatic way' or 'opposed to dogmatism' in modern usage.