"Great humility" means having a very humble or modest attitude or behavior. It is about not thinking too highly of oneself and being respectful towards others, regardless of one's achievements or positions in life. Full definition
I think that it's important to approach all of these things with great humility, though. (rachelheldevans.com)
He was a man of great humility and empathy, who made it his life's cause to help the millions of people worldwide who suffer from serious psychiatric disease. (broadinstitute.org)
Given the disconnect between test scores and later life outcomes we need significantly greater humility about knowing which schools are succeeding. (jaypgreene.com)