[spekcular]

I have some problems with this comment.

First, why the scare quotes around "rigorous"? Set theory literally did make the foundations of analysis more rigorous.

Second of all, we don't use set theory because it's "trendy" or because we want to "indoctrinate" undergraduates, we use it because it's the best known foundation for mathematics. If there was something less complicated or annoying that worked, we'd use that instead. But as far as we know, there isn't, and there are good reasons to believe we won't find something better.