The problem of induction doesn't need to be solved because the problem refutes itself when time is brought into the picture. Let's assume Hume's premise "there can be no demonstrative arguments to prove, that those instances, of which we have had no experience, resemble those, of which we have had experience" is true. Ok, then how do we know this premise will stay true in the future? Because it is true right now? Bec…
Knowing that a premise will stay true in the future and knowing that it will become false in the future are both knowing something about the future. Compare with knowing whether a program will terminate.
Also, I may have jumped the gun with that comment. I didn't read the whole article the first time around because I thought it was just going to be a hit piece on scientific method when the problem of induction came up. But that isn't the case and they're talking about AI research.