undogmatical
Speech parts
1. undogmatical - Adjective
2. undogmatical - Adjective Satellite
Meaning
unwilling to accept authority or dogma (especially in religion)
Source: WordNetSynonyms
latitudinarian
free-thinking
undogmatic
catholic
liberal
broad
tolerant
agnostic
permissive
broad-minded
agnostical
open-minded