There's no such thing. Did you mean open mindlessness?
Narrow-mindedness? No. Other forms of "~mindedness"? Probably.
Possibly 'tolerance' or 'open mindedness'
Narrow-mindedness, close-mindedness, limited view.
Absent Mindedness - 1907 was released on: USA: September 1907
close mindedness!
fairness, open-mindedness, tolerance
Synonym: insignificant-intelligence
The Red Shoes A Tale of Two Mindedness - 2010 was released on: USA: 5 June 2010
Motion mindedness refers to an individual's ability to perceive and understand movement, both in themselves and in others. It involves being aware of physical sensations, body language, and environmental cues related to motion. People with high motion mindedness may excel in activities such as sports, dance, and acting.
mindedness...........
Jelousy, possesiveness and small mindedness.