I see no contradiction, but rather an expansion. Serving public interest is taking care of the world. But helping your neighbor is also taking care of the world

I see no contradiction, but rather an expansion. Serving public interest is taking care of the world. But helping your neighbor is also taking care of the world. Being kind to your children, and to your parents, and your friends, and strangers is also taking care of the world around you. The definition you quote is basically the late Stoic definition of virtue. While very decent, it's notably pre-Christian.