The singularityi isn't real. Why? Because it's a bad description of the concept.

Knowledge expands at an exponential rate. This means that knowledge begets knowledge and discoveries follow eachother at increasingly shorter time frames. The speed of discovery is accelerating.

It is however not instant.

But! There will be a time somewhere in the future. Where knowledge moves at such a pace that humans will no longer be able to keep up with all the new discoveries being made in their fields. Simply because there are to many and there's not enough time.