The Dunning-Kruger effect

http://www.psychologytoday.com/blog/evolved-primate/201006/when-ignorance-begets-confidence-the-classic-dunning-kruger-effect

Recently, I got into a debate with someone whose arguments I've shot down. And yet they still held the conviction that they were still right. I could not understand how someone could still claim to be right, and have their arguments exposed as flawed. But I read up on the Dunning-Kruger effect, and now it all makes sense.