Open-mindedness is a virtue all must strive for.
Open-mindedness means a person being open to new ideas from his surroundings. It is a big virtue and a very valuable one to have for not many people have it.
It is generally the smart people who are more open-minded as compared to dumb people. And it is generally the humble people who are more open-minded than the egotistical folks.
The reason open-mindedness is a virtue is because it is where humility meets the capacity to tackle complexity. On the other hand, closed-mindedness is where ego meets the inability to tackle complexity.