undogmatical

Thesaurus

Adj.

1.undogmatical - unwilling to accept authority or dogma (especially in religion)free-thinking, latitudinarian, undogmaticfaith, religion, religious belief - a strong belief in a supernatural power or powers that control human destiny; "he lost his faith but not his morality"broad-minded - inclined to respect views and beliefs that differ from your own; "a judge who is broad-minded but even-handed"