undogmatic vs free-thinking

undogmatic and free-thinking both are adjectives.

Word	Noun	Adjective	Verb	Adverb
undogmatic	No	Yes	No	No
free-thinking	No	Yes	No	No

As adjectives, undogmatic and free-thinking are synonyms defined as:

undogmatic and free-thinking: unwilling to accept authority or dogma (especially in religion)

Other synonyms of undogmatic include latitudinarian, undogmatical.

undogmatic (adjective)	free-thinking (adjective)
unwilling to accept authority or dogma (especially in religion)	unwilling to accept authority or dogma (especially in religion)