I know several of you mention something about forgiveness. Well, from the way I see it, after an argument and you "loose", should you really expect to be forgiven once you apologize? Seem to me that would defeat the whole purpose of trying to humble yourselves. I mean it is always nice to hear that the person is forgiving you and not holding anything against you, but still.
I think that if you can voice your wrongs, then you are truly brave. It means you aren't sucked up in pride, and means you are human. Everyone makes mistakes, so why don't you just say it? "An honest fool is better than a lying scholar", so don't lie about being perfect, admit your wrongs (Even if you aren't a fool and you aren't pretending to be a scholar).