undogmatical

Adjective
  1. Unwilling to accept authority or dogma (especially in religion) (synset 300288141)
    referred to in: faith, religion, religious belief - a strong belief in a supernatural power or powers that control human destiny
    similar to: broad-minded - inclined to respect views and beliefs that differ from your own
    same as: free-thinking, latitudinarian, undogmatic

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