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Re:Surprise Computer Science Proof Stuns Mathematicians by phendrenad2 on Tuesday March 21, 2023 @03:02PM (#35250904)
> It's virtually impossible to predict which mathematical tools will be "practical" or "useful" in the future

On a long enough timeline, you're right! But if we limit ourselves to, say, the next 5,000 years, it gets a lot easier to accomplish. ;)

Re:Surprise Computer Science Proof Stuns Mathematicians by asynchrony on Tuesday March 21, 2023 @03:49PM (#35251570)
How does limiting the timeline to 5,000 years enhance our ability to predict the future?
Re:Surprise Computer Science Proof Stuns Mathematicians by phendrenad2 on Tuesday March 21, 2023 @04:33PM (#35252110)
* * *
Re:Surprise Computer Science Proof Stuns Mathematicians by ubj on Tuesday March 21, 2023 @05:31PM (#35252865)
Good point, maybe a better way of phrasing it would have been "It's virtually impossible to predict which tools will _not_ be useful" :)

Fast Fourier transforms, complex numbers, complexity classes, etc. are clearly useful. It's much harder to rigorously claim that a result will _never_ be practical or useful.

Just to be clear, I think it's fair to say that a result isn't _immediately_ useful. But who can say whether or not it will have a more practical application down the road? Only time will tell.