There's also the Dunning-Kruger research ... (There's been quite a bit of work on the DK-effect since 1999).
The original study found this:
1) Ignorant people will fail to recognize their lack of skill.
2) ... and also fail to realize how hard they're failing.
3) ... as well as failing to recognize actual skill in others.
4) Yet recognize how dumb they were after receiving training.
This initially made me somewhat hopeful.
However, later science showed, that
5) Ignorant people tend to resist any form of training.
This last observation has been reason enough for me to try to avoid further conversation with stupid people after they've been identified. However ....
... Facebook does provide an excellent training ground/entertainment for such things. I admit that on occasion I've been deliberately baiting certain ignorant 'friends' for shits and giggles by surreptitiously and ironically [to everyone else but them; that's the challenge!] praising their ignorance in return for fb-likes and positive responses
E.g. "Brilliant! I wish I could have come up with an explanation that was a simple as yours!", "Your righteousness is exceeded only by your flawless reasoning". It's like shooting fish in a barrel. Someday, I'll be going to sympathy-hell.