Also bringing a product to market (a non-software product).
Also having good taste and cooking great food come to mind, but they are not really research problems.
Moving around papers, data and that kind of jobs becomes automated.
The real math problems etc: I think it will create many more interesting problems and challenges. It's not like something is solved and nothing is left. That's the wrong way to look at it I think.
The software engineer's laziness to create better software and to disregard optimal solutions is the reason now they have found themselves to have automated their entire role and are now upset that most of them are no longer needed. That's good and it is deserved.
It's now time for them to find something else that is a lot harder to do, like hardware and getting people to pay for their 'free' software that anyone will just build for themselves.
Wait until the cotton gin arrives, all the hand weavers will become jobless and no one will have experience anymore.
Wait until the printing press arrives, all the scribe monks will become jobless and no one will have experience anymore.
Wait until the computer arrives, people will become obsolete and no one will have experience anymore.
Wait until the steam engine, automobiles, planes, calculators, telephones, etc.
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But history shows that when such a "slope" appears... regulation steps in, technology evolves to solve the problem, or the culture shifts to reinterpret the tool.
In almost every case, the feared "bottom" of the slope was never reached because humans constantly built ramps or bridges along the way. And that's what progress is.
Thank you for coming to my Ted talk.