I'm not going to go into detail explaining it here because I'd rather spend my energy on doing that in a way that can communicate to more people. (I'm working on that.)
Those who do not prepare for the coming Singularity are going to be blindsided by it when it arrives.
No it's not. At least, that's not how leading textbooks define it and it's not how McCarthy defined it. Moreover you promptly contradict it: beating the chess champ is hardly "not yet solvable by computers". Did it cease to be AI the moment it succeeded?
Those who do not prepare for the coming Singularity are going to be blindsided by it when it arrives.
This seems to me a religious sentiment expressed in religious language. Prepare ye the way of the Lord!
Artificial human like intelligence will profoundly influence society, I don't doubt it. I just think the quality of thinking under the umbrella of 'Singularity' is very unlikely to usefully prepare anyone.
When humans first picked up a rock to use as a tool they possessed something with which to make a better tool - this tool singularity has been ongoing for thousands of years - stop talking about it like the rapture, it's embarrassing.
The problem with singularity is its unchecked use of extrapolation. With any kind of prediction you ought to factor in a certain level of uncertainty based on how much you've observed about a phenomena. Considering we don't have yet what we'd call real artificial intelligence, let alone artificial intelligences creating other artificial intelligences - our level of uncertainty renders any prediction absurd.