Re:“Math 2.0” will need to value mathematical progress more ...
by adrianN on Thursday October 08, 2026 @01:35AM
(#50002098)
I wonder how we could formalize the notion of „interesting“ problems in a way that would allow us to automatically generate new interesting questions from the existing corpus of mathematics.
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Re:“Math 2.0” will need to value mathematical progress more ...
by youoy on Thursday October 08, 2026 @01:54AM
(#50002201)
For me this path means that our role as humans is just the understanding of intelligence?
Everything else is secondary (or the last of our priorities) and would be better automated?
This is a hard pill to swallow
Re:“Math 2.0” will need to value mathematical progress more ...
by latentsea on Thursday October 08, 2026 @02:25AM
(#50002417)
We should think about rejecting this AI future.
Re:“Math 2.0” will need to value mathematical progress more ...
by charcircuit on Thursday October 08, 2026 @02:59AM
(#50002603)
A simple way is to just measure how long it takes to solve. If it takes more than 5 minutes then we don't have a good understanding of that area and its worth potentially investing into.
Re:“Math 2.0” will need to value mathematical progress more ...
by sankhao on Thursday October 08, 2026 @01:55AM
(#50002205)
Or maybe we should not let pure mathematicians decide which problems are interesting, but reward the practical applications instead.
Re:“Math 2.0” will need to value mathematical progress more ...
by zorgmonkey on Thursday October 08, 2026 @02:32AM
(#50002446)
This is wildly shortsighted view of mathematics. Historically many of the subfields of math which are presently most valuable were considered useless for decades or centuries. Number theory, non-Euclidean geometry, group theory, and Boolean algebra, to name a few.
Re:“Math 2.0” will need to value mathematical progress more ...
by sankhao on Thursday October 08, 2026 @03:02AM
(#50002623)
This is false dichotomy. Many mathematical achievements were produced while looking at practical problems: Fourier is a good one. For every mathematician that accidentally made a practical contribution, there are many more that produced nothing of value, and would have with a better tuned reward function.
Re:“Math 2.0” will need to value mathematical progress more ...
by youoy on Thursday October 08, 2026 @03:12AM
(#50002701)
I guess this AI wave will divide the population more between people that think that only economic value exists, and people that dont.
Thats one of the timeless human debates.
We are now living in the perfect combo of low morality and general human automation. So i expect the next few decades dominated by people who think (and have a "proof") that doing something without an expected economic gain is useless.