One thing I don't like about Kurzweil's take on the Singularity, is that he attributes it to "The Law of Accelerating Returns", that is not an actual law, but something I think he invented.

For a much more scientific and thorough explanation of why the increased complexity will lead to the Singularity I recommend "The Romance of Reality" by Bobby Azarian, where he explains how it is the 2nd Law of Thermodynamics (entropy increases in closed systems), is the one that predicts the increased complexity in open systems.

It is far more scientific and accurate.