The definition is really vague. They say that technology will become so advanced that it is impossible to predict what happens afterwards, but isn't that already the case now? Someone from even 1960 would find it terribly hard to envision the fine details of today's world. My point is that instead of "The Singularity" happening in a single year, or over a few years, it will more of a gradual process happening through this century and into the next. Also, a radical shift in society requires that all areas of life change together, yet this is not the case, as we know that technological change comes much faster than political change. Also the long natural lifespan of a human will slow down the potential fastest rate of growth of technology because the change will be 'too fast' for humans alive today to feel comfortable with and will bring about bureaucracy and regulation, as we are seeing today. Technology is no good unless you use it, and how you use it is being dictated by humans who are naturally skeptical of such radical change. The coming technology is going to be especially powerful which will spark more controversy and debate than ever before. You can't just suddenly make society unrecognizable, you're trying to change millions of years of biological evolution, and tens of thousands of years of collective evolution of humans.
Artificial Intelligence will only develop as fast as we make it; technologically, politically and economically. We are seeing a very fast increase right now in the development of AI which will grow more over the coming decades. But there is only so much that AI can conquer in a few decades (namely for reasons already mentioned above). We need humans to trust AI before it can really change the world and that could take a while - think of the diversity of the world, not everyone lives in Silicon Valley. Even if Northern Europe and California become ultra high tech hubs, there will still be places in Africa and Southeast Asia where huge amounts of people live close to what it is like now.
[rant] Also I don't know why there is all this hype about AI becoming conscious. We don't even know what consciousness is. People throw that term around but I doubt anybody actually has a fucking clue what it really is. Intelligence can achieve the same as this mystical 'consciousness', in the way society generally assumes it. There is no inherent value of consciousness (to the best of our knowledge). [/rant]
Ultimately you have to ask yourself, why would the singularity happen? Answering that will tell you more about how the singularity will happen and such. No action happens without an incentive in relation to other actions.
And all this being said, predicting such an enormous change in society is hard. The "singularity" isn't just one invention, it's a radical mutation of civilization. I'm young enough so I'll probably get to see it all happen