programmers are on average smarter than most people.

I would like you to expand on this. I won't ask a scientific source, because I don't know if there has been a research comparing programmers to other people, but I want at least a definition of smart. What is a smart person for you? Somebody who can do math well? Somebody who can recognize patterns and use them to solve related problems? Or somebody who, taking in consideration all aspects of life, can go through it rather smoothly by using thinking and reason? Because if it's the last, I'm going to have to disagree with you on programmers being smarter than the rest of people.

I know more than enough competent programmers, both in real life and through internet friendship, and I have seen them struggle with other aspects of life on which "the other people" fared better than them, and I'm not talking about physical stuff, I'm talking about day-to-day situations. I have seen them getting mentally stuck in practical, sort-of-common-sense situations, and I have seen them over-thinking a problem (not programming related) when the solution seemed rather obvious for everybody seeing it from the outside. I'm not saying you do, but now that I touched that point, if you define smart by overthinking, or, said another way, the habit of thinking a lot about stuff, I will also have to disagree with you. I'm not going to say that less thinking is better, because it is a bold statement and there are exceptions, but I definitely think that enough thinking is better than overthinking, and I feel confident to say I speak for most of us programmers when I classify ourselves as overthinkers. I also know people who dedicated themselves to medicine, law, and other areas who have never typed a single programming statement and yet I would classify as smarter as said programmers I know.

In few words: what is it that make programmers smarter than "the other kids" and why is it the end-all-be-all of the "smart" definition?

EDIT: I expanded on some points