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I think AI type of problems are actually very solvable.
--
Speaking with a UC Berkeley class

 

Sergey Brin

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As I search the archives of my memory I seem to discern six types or methods which divide themselves from one another with measurable distinctness. There is the type magisterial or imperative; the type laconic or sententious; the type conversational or homely; the type refined or artificial, smelling of the lamp, verging at times upon preciosity or euphuism; the demonstrative or persuasive; and finally the type tonsorial or agglutinative, so called from the shears and the pastepot which are its implements and emblem.

 

Benjamin N. Cardozo

 

From childhood we are trained to have problems. When we are sent to school, we have to learn how to write, how to read, and all the rest of it. How to write becomes a problem to the child. Please follow this carefully. Mathematics becomes a problem, history becomes a problem, as does chemistry. So the child is educated, from childhood, to live with problems — the problem of God, problem of a dozen things. So our brains are conditioned, trained, educated to live with problems. From childhood we have done this. What happens when a brain is educated in problems? It can never solve problems; it can only create more problems. When a brain that is trained to have problems, and to live with problems, solves one problem, in the very solution of that problem, it creates more problems. From childhood we are trained, educated to live with problems and, therefore, being centred in problems, we can never solve any problem completely. It is only the free brain that is not conditioned to problems that can solve problems. It is one of our constant burdens to have problems all the time. Therefore our brains are never quiet, free to observe, to look. So we are asking: Is it possible not to have a single problem but to face problems? But to understand those problems, and to totally resolve them, the brain must be free.

 

Jiddu Krishnamurti

 

Erdős knows about more problems than anybody else, and he not only knows about various problems and conjectures, but he also knows the tastes of various mathematicians. So if I get a letter from him giving me three of his conjectures and two of his problems, then it's sure that these are exactly the kind of conjectures and problems I'm interested in, and these are exactly the kind of questions I may be able to answer.
Of course, this applies not only to me, but to everybody else. So Erdős has an amazing ability to match problems with people. Which is why so many mathematicians benefit from his presence. Every letter is likely to inspire you to do some work, or every phone call will give you some problems you are interested in.

 

Paul Erdos

 

You're basing your laws and your whole outlook on natural life on mythology. It won't work. That's why you have all these problems in the world. Name them: India, Pakistan, Ireland. Name them-all these problems. They're all religious problems.

 

Jack Kevorkian

 

If you rely only on experience, you’ll simply keep applying old solutions to new problems. I know a lot of people who feel they have an identity only when they’re talking about their problems. That way, they exist, because their problems are linked to what they judge to be their history.

 

Paulo Coelho