I would guess the average Joe, like myself, skipped debate club in high school. Our arguing skills were first gleamed from our parents, and, depending on the family, this could be very bad thing. Let's ask Google what it means to argue.
ar·gue /ˈärgyo͞o/ verb:This is the first definition of argue from the big G. In terms of linguistic pagerank, that makes it credible. Notice that argue does not mean simply "to disagree." One can be a master debater (heh) and not a contrarian.
Give reasons or cite evidence in support of an idea, action, or theory, typically with the aim of persuading others to share one's view.
YouTube also has something to say on the subject. Below is a Monty Python sketch that illustrated exactly what I'm dealing with. Exhibit A: John Cleese.