Humans don't have that either, at first. They require an extensive period of absorption and integration before it becomes a part of their sensory gestalt. For a computer mind, the absorbing might come a little more easily, and the integration with a great deal more difficulty.
Boiling this down, you are essentially saying the same thing that Kurzweil is saying.
Humans are self-programming multifunction organisms.
Machines are externally programmed single-purpose devices.
So combining the two, with a transparent, intuitive interface, we create a self-programming entity with undefined capabilities.
Now, if the design function of the computer is to find information and make correlations, then the human would appear to be unusually bright and resourceful.
That may be exactly what Kurzweil is anticipating.
He is saying that intelligence will vastly overrun humans, on a scale and capacity trillions and trillions larger and more powerful than human civilization.
Humans will be to this post singularity intelligence as chemical molecules are to humans.
I found some useful quotes from Kurzweil's book The Singularity Is Near : When Humans Transcend Biology on the web page http://www.imminst.org/forum/index.php?act=ST&f=13&t=7814&s= :
The Singularity will allow us to overcome age-old human problems and vastly amplify human creativity. We will preserve and enhance the intelligence that evolution has bestowed on us while overcoming the profound limitations of biological evolution. But the Singularity will also amplify the ability to act on our destructive inclinations, so its full story has not yet been written.
Overly timid prognosticators early in the trend project the linear growth, and undershoot. Overly optimistic prognosticators in the increasingly steep part of the trend project continuing exponential growh, and overshoot.
Kurzweil is a classic case of the overshooter.