This is simply not true, and hasn't been true for awhile. Newer forms of automation are removing jobs faster than new jobs are being created from technological innovation. It is in fact different this time.
Hell, you might think that becoming a software developer would be the safe course in this new age of automation. Someone has got to write all that automation software after all. You know what my first job out of college was? Writing software that automated the creation of software for television automation systems. Instead of a few dozen software developers developing systems for many different clients, a few business analysts and a couple of software developers could simply input some parameters in that system, and it would output a mostly filled template project that just might need a tweak here and there for a particular client. And it isn't like that was state of the art software development automation.
edit: The point is that this isn't about blue-collar jobs going away. Robots are actually kind of expensive and finicky. This round of automation is about software taking over white-collar work. It isn't just coming, it is already here. What is my job right now as a software developer? Develop insurance software. Why? To reduce the need insurance companies have for underwriters, adjusters, and actuaries. When a company adopts my company's software, they can start slashing their HR costs because while humans are still needed, each individual underwriter, adjuster, and actuary can do the work of what took several of each before by leveraging the software.
There definitely will be many blue and white collar jobs that will be replaced, but the pattern for hundreds of years of increased efficiency has resulted in less unemployment rates, not more (excluding the great depression, which was more of poor banking regulation problem). This latest potential employment shift has the potential to be very devastating on our economy and many people's lives, but unlike the great depression, we have time to plan for it.
Also, the most important thing about the automation debate that I find a large number of people do not take into account is the inherent limitations of AI/robotics, and how essential collaboration with human workers will be among all fields.
If we really want to look at the last major form of employment shift on the scale we are looking at now, the first industrial revolution is very applicable. There were massive widespread fears at the time that a very large portion of the country would become unemployed as we moved away from an agrarian society. They couldn't even imagine all of the different jobs that would be created from that massive shift.
Our economy is enormously based on social interactions, and that will not change anytime soon. There will be some jobs where fewer people are required, but there will always be a human required.
If you want to look at one of the first massive superhuman Artificial Intelligence devices that was adopted worldwide that revolutionized the labor industry, look at the calculator. No human could ever match the speed and power of what is now a handheld calculator, but it has dramatically increased the efficiency and employment options because of it across the world.
I have been very interested in this topic for a number of years, and very worried about the prospect of what would happen to societies when hundreds of millions of people are suddenly put out of work. Especially when you combine this with the quickly untenable demands of future food requirements, and the toxification of sea food. It is terrifying to imagine a nightmare situation where hundreds of millions of destitute people overwhelm the social safety nets. HOWEVER, increased efficiency and AI collaborative innovation is probably the best chance we have at meeting our most major current and upcoming human crises.