Assume for a second, that you have a pond. And a new type of algae has been introduced into the pond. Algae grows quickly, so let's assume a doubling time of a day. 24 hours. The concern is that this new algae is gross and smells bad and nobody wants to have a pond full of this disgusting algae. Unfortunately, treating the algae is expensive and nobody wants to treat the entire pond.
The question is: One week before the pond is entirely covered in algae, would enough have appeared that you would even notice? At a "gut instinct" level, we'd guess that perhaps a quarter or a third or at least a tenth of the pond would be covered in algae, but that gut level instinct would be completely wrong. Just 1.56% of the pond would be covered - right about the point where it becomes noticeable at all.
The point is this: information processing capabilities, globally, aren't just growing exponentially: the rate of growth is itself also growing exponentially. Just about exactly at the time where we notice actual, verifiable intelligence of any kind is just about exactly the time where we have to assume it's ubiquity.
Previous discussions talk about the number of cross connects and how far away we are from the mark without commenting that the Internet itself allows for an infinite number of cross connects - my laptop can connect directly to billions of resources immediately with an average 10-25ms delay. Now, it's very likely that what is meant by "cross connects" in the context of AI is substantially different than the "cross connect" capability that global networking enables, but it's equally true that people generally fail at understanding exponential growth. It's why 401ks are so universally underutilized, why credit cards are such big business, and why the concept of the "singularity" seems like such hocus pocus at the gut level.