I always correct others when they are wrong or when I think they are wrong
Do you like being this way?
I feel it is a deep rooted personality problem.
It's okay to politely correct someone if they are wrong about a fact. It can lead to discussion and the other person may even thank you for the correction.
Yeah, but do you think they would forgive me if I make a mistake?
Of course! I think it is great you notice a mistake and apologize when you realize it. That is really hard for most people to do.