As I mentioned before, cognitive dissonance is where a person possess two contradictory beliefs at the same time, yet believes them both to be true. We saw a recent example of this in a Huffington Post thread:
But then a comment that says Israel shouldn't exist (and therefore there shouldn't be peace) gets an equal number of favorites. Either cognitive dissonance is happening, or the Huffington Posters will just fav anything that is remotely anti-Israel. I'm going with the latter.