If this URL is still active by the time you read this, please take a look at it.
It reads as follows:
"People of a political kidney never can, never will at any time acknowledge the slightest possibility that they might be mistaken. That way lies the imminent crumbling of dogma, and the freakish implication that those holding opposite views could be, after all, tolerable, decent, even respectable." - Brooke McEldowney
Oliver Cromwell is said to have made the following plea to certain of his opponents: "I beseech thee in the bowels of Christ, consider that ye may be wrong."
Indisputably, it is always a possibility that you and/or I may now and then be wrong about something. Over the long haul, being wrong at one time or another is a certainty.
That's why I so enjoyed an old Peanuts cartoon by Charles Schultz where Lucy tells one of the other children that, yes, she remembered that she had been wrong once. It was back in 1958 when she thought she was wrong about something, but then realized that she'd been wrong about thinking that she had once been wrong.
Then we have Dr. Stephen Hawking who rather recently announced himself as having been wrong in some of his prior writings about astro-physics and black holes, but who later thought things through and corrected himself.
Talk about unimpeachable intellectual honesty!! There's no false pride in that man which is the key, actually. It all does come down to intellectual honesty.
I would rather put my trust in somebody who admits to having human frailties, to put my trust in someone who doesn't see himself as intrinsically above the common crowd which would certainly exclude that arrogant mathematician I once encountered.
Please see: The Go-To Guy
Conversely, nobody can be wrong all of the time either. To achieve that would be to have arrived at a state of perfection. Since no mortal being is perfect, each of us has to be right about something at least sometime.
In either case, we are talking about human frailty and human limitations. I have too often heard from this or that blowhard, often in high dudgeon, spouting off phrases like "...but YOU SAID that ....".
(Sigh, again.)