Being open-minded signifies the ability to be accepting of new and different perspectives from the ones we hold. We want to position ourselves as open-minded and yet, any idea that may be in contrast to our predetermined belief is rejected.
It is akin to inviting someone to your home where the screen door is ajar but the main door is shut.
We may want to reverse the doors that are open, and rather use caution with the screen door but let in all ideas, rather than just those you approve of.