'antidogmatical' originates from Greek and New Latin elements: the prefix 'anti-' from Greek 'anti' meaning 'against' and 'dogma' from Greek 'dógma' meaning 'opinion' or 'that which seems good/true', combined with the adjectival suffix '-ical' (via Latin/Old French).

'antidogmatical' was formed in English by combining 'anti-' + 'dogma' + '-ical' (modeled on adjectives like 'dogmatical'/'dogmatic'), with earlier use of 'antidogmatic' and related forms in modern English; the form '-ical' reflects formation through Latin/Old French adjectival patterns.

Initially it denoted being 'against dogma' in a literal sense; over time it remained consistent in meaning but grew rare and is largely synonymous with 'antidogmatic' or 'non-dogmatic' in modern usage.