When the connection between you and the other person is tenuous, as it was between myself and this woman, both parties know there's a pretty good chance this will be the only conversation the two will ever have with one another. You will meet, talk briefly about your jobs or the weather, part ways, and then, in the long run, live the rest of your lives and die without ever speaking again.
We here at LivingRoomConversations.org consider ourselves "radicals." Radical doesn't mean vandal or hooligan. It means, literally and operationally, "from the root."