The wiki is talking from a forked repo point of view. You have access to pull and push from origin, which will be your fork of the main diaspora repo. To pull in changes from this main repo, you add a remote, "upstream" in your local repo, pointing to this original and pull from it.
So "origin" is a clone of your fork repo, from which you push and pull. "Upstream" is a name for the main repo, from where you pull and keep a clone of your fork updated, but you don't have push access to it.