Earlier quoted context omitted.
I don't think that's what he's advocating: he's just saying that every dependency you have is another thing you have to worry about, so why not try to limit them as much as possible? Obviously it's impractical sometimes, and that's OK, as long as you understand the consequences.
Every dependency you have is another thing that people besides yourself can worry about with you or for you Need to do X? If you write your own library that does X, chances are you'll be the only one to ever work on it. Need a new feature? You have to stop working on your actual project and implement that feature. Found a bug? No one else will fix it for you. If you depend on a library that thousands of other people…
I agree with most comments here that it's not a good idea to reinvent the wheel everywhere, but when all you want is a wheel, and not the entire car, it's ideal that we have a way to just include the wheel.