While Symposium actually goes deep into the subject of love, part of the point Socrates tries to make (or rather, Diotima of Mantinea via Socrates) is that humans have a deep desire to immortalize themselves by procreation, be it with arts, poetry, fame or life.

While on the subject, possibly Alcibiades I by Plato might be an even better read.

http://en.wikipedia.org/wiki/First_Alcibiades