We all get stuck in our ways to a certain extent. Some of us are more resistant to change than others, but a fair few people will relspond to a well reasoned and logical argument that is stripped of emotional language.
Emotional based arguments or an argument coached in emotional terms, can get a similiar response from the other party.
Centuries ago most people believed the world was flat, that viewpoint has changed. Most people today believe in the Theory of Evolution and one point that was tantamount to heresy.