Intelligence as a general topic is pretty hard for me to swallow. A lot of "intelligence" that we can test for is mathematical in nature and that can be learned. I'm pretty sure I could teach multiple-choice test taking.

Intelligence, I think, can broadly be defined as "the ability to score well on intelligence tests." The most common is supposedly correlated with freshman college survival. History is full of people who were considered "dull" as students but later shook the world in a way that means they had significant intellect.

It wouldn't be a problem except we sort people into piles and this is yet another sorting mechanism.