Cognitive dissonance.
Was it Gene Bauer doing the talking?
"Cognitive Dissonance" is a psychological term for when you strongly believe something, and then evidence against what you believe is presented to you, and how hard you will work to disagree with that information. Classically, a wife presented with nearly irrefutable evidence that her husband is cheating on her will do mental gymnastics to reframe that information in a way that she still doesn't accept he's cheating on her.
The more important the belief is to you, and the more you've had to invest in that belief, the more uncomfortable you will become when evidence is presented that you're wrong.
That's cognitive dissonance.