Storge

When talking about kinds of love, we are familiar with eros, philia, and agape. But it turns out there is also storge. This is defined as "the love of a parent toward a child," but has become in social psychology "the form of love between friends." If storge is familial love and friendship, this frees up philia for object-love (which would include such objects as sophos) and agape for the more inclusive "love of mankind." It would also draw attention to the relationship between friends and family. Still, the fact of overlap shows how complex these different kinds of love are, even in a language like Greek, that has four terms for it.