Antonyms of adj undogmatical

1 sense of undogmatical

Sense 1
free-thinking, latitudinarian, undogmatic, undogmatical -- (unwilling to accept authority or dogma (especially in religion))

INDIRECT (VIA broad-minded) -> narrow-minded, narrow -- (lacking tolerance or flexibility or breadth of view; "a brilliant but narrow-minded judge"; "narrow opinions")

Similarity of adj undogmatical

1 sense of undogmatical

Sense 1
free-thinking, latitudinarian, undogmatic, undogmatical -- (unwilling to accept authority or dogma (especially in religion))
       => broad-minded (vs. narrow-minded) -- (inclined to respect views and beliefs that differ from your own; "a judge who is broad-minded but even-handed")