Definitions for undogmatic
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Random House Webster's College Dictionary
un`dog•mat′ic(adj.)
Princeton's WordNet
free-thinking, latitudinarian, undogmatic, undogmatical(adj)
unwilling to accept authority or dogma (especially in religion)
Wiktionary
undogmatic(Adjective)
Not dogmatic.
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"undogmatic." Definitions.net. STANDS4 LLC, 2013. Web. 23 May 2013. <http://www.definitions.net/definition/undogmatic>.