Open minded people can hold on to their own way of thinking, while, at the same time, considering alternate points of view.
There is always the possibility that you are wrong, if you are open to that possibility. It is also possible the other viewpoint is wrong, if you are open to that possibility.
If you are not open to the possibility, then you can only solve the problem one way. And, if that doesn’t work, you are hopelessly stuck.
The possibility of wrong opens other alternatives, that just may contain the idea that saves the day. But, only if it’s possible that you are wrong.