Well, the printing press was a singularity in the availability of information. The atom bomb was a singularity in defense and war. The Singularity is supposed to be a singularity in everything, or at least in enough of them that we can become gods (immortal, all-knowing and close enough to all-powerful).

And this discussion prompts a new thought: What are the military applications of The Singularity? (Don't bother saying that we're all going to live in peace and harmony after it happens. We won't.)