IPA: /ʌnˈdɒɡmətɪkli/
KK: /ʌnˈdɔɡmətɪkli/
In a way that is open-minded and not strictly adhering to established beliefs or doctrines.
She approached the discussion undogmatically, considering all viewpoints.
Undogmatically → It is formed from "un-" (meaning not) and "dogma" (from Greek "dogma", meaning belief or opinion) and the suffix "-ically" (meaning in a manner). The word "undogmatically" means in a manner that is not based on dogma or rigid beliefs.
Think of 'not' ('un-') following a 'belief' ('dogma') — this helps you remember that 'undogmatically' means acting without strict beliefs.