Yes. How many systems 'jump' to universality when they start getting powerful is one topic of David Deutsch's upcoming book The Beginning of Infinity. (BTW it h

Yes. How many systems 'jump' to universality when they start getting powerful is one topic of David Deutsch's upcoming book The Beginning of Infinity. (BTW it happens in other fields too, not just computing.) While waiting for that new book, I recommend reading his previous book The Fabric of Reality.