One thing that I find baffling when I argue with people online is when they complain that I'm not being open-minded.
I happen to think I'm a fairly open-minded person. For example, even though I'm very pro-choice, I can absolutely see the point of view of a person who is pro-life. I mean, they think we're murdering babies! I would actually find it very hard to argue with such a person (unless they said abortion is okay in the case of rape and incest, because that totally is inconsistent).
But being open-minded doesn't mean that you have to agree with everyone else who argues against you. I consider what the other person is saying, and sometimes I concede some points, but sometimes I still disagree. That's my right. And sometimes the other person will acknowledge this and say, "We'll have to agree to disagree." Because you can't always expect the other person to come around to your point of view.
(If you say that to me and I say, "I don't agree to that," it's not because I don't agree, but because it's a favorite Simpsons quote of mine.)
But sometimes people go off the deep end and start yelling at me for not being open-minded. I find this entirely hypocritical. One person actually said to me, and I quote:
"I would be very happy to debate this with you, if you are open-minded enough to admit it when (not if) I prove you wrong."
A true sign of open-mindedness, don't you think?