Pride, shame, hubris and ego being factors in whether a person is able to consider they may be wrong on a statement, claim or stance on a topic. Not only consider wrongness, but accept or note their change of mind.
This was discussed by Erich Fromm, a German social psychologist. In his popular book "To Have or to Be?" he explains this mode of attached to one's own conviction as the modes of existence related to "Having" as if this was one's property that it is about to defend. On the other hand, people living in the mode of "Being" do not "posess" their ideas but are open to learn new things, the best what can happen in a conversation.