Earlier quoted context omitted.
Arrogance, which I'd call exasperance in this case, in the face of repeated ignorance of reality, is justified. You can only deal with willingly ignorant people for so long before giving up on the human race. And the doctor in the tale did try and educate the mother before she was cut off. She just didn't want to listen.
It's fine to feel exasperated. It's not fine to treat people in such a condescending manner. People are rational, and want to understand, but unless you make the information properly accessible in the UX sense, your exasperation is due to your own fault. The doctor did not try to educate the mother. He tried to lecture her. He offered her a bad user experience, which she naturally rejected. People are not machines. Y…
No. They really aren't[1], and they really don't[2].
Changing your mind is very hard, and most people don't do it. Even if you have been trained to change your mind, the longer that you hold onto an idea, the harder it is to believe the idea to be false. There is a reason Neils Bohr stated "science progresses one death at a time."
You are likely reading this and coming up with a bunch of reasons that you are right, and I'm wrong. Likely: "You missed the point, You didn't talk about UX", or "The doctor was still condescending," or more likely there is some flaw in my argument that you immediately see[3]. These thoughts alone should give you a good idea that it is difficult to change your mind.
[1] http://www.amazon.com/Predictably-Irrational-Revised-Expande... [2] http://www.newyorker.com/science/maria-konnikova/i-dont-want... [3] It is also entirely possible that you don't think any of these things. It depends on how strongly you hold to the belief that you shared.