Hmm. I see the singularity as a recursive step change; the last step where the average slope becomes vertical.

I’m not a singularity believer (singularitist?); from the perspective of 1000 years ago we’re already at the point of infinite progress in zero time. I think individuals, the culture, and the species adapt to accelerating progress, and I intuit, maybe wrongly, that Gödel‘s theorem means that technology will never become runaway and recursive.

But I think that’s what people mean, more than just a step/paradigm change like the internet.