Dogmatic

Adj. 1. Pertaining to dogma

2. expressed in an authoritative or arrogant manner

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Synonyms: Arrogant, stubborn

Antonyms: open-minded

My Favorite example of dogmatism
The girl was very dogmatic when she was arguing for her answer in class.
I dislike arguing with someone who is dogmatic because they will not listen to what I have to say