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Re:A fleet of computers helps settle a 90-year-old math problem by marta_morena_25 on Thursday August 27, 2020 @01:58AM (#24290553)
Interesting. I hope what the author says isn't actually done. So the computers generated a proof nobody can understand, but fret not, a second computer program can assure us of its validity. Well that's heartwarming. I hope they are not building the foundations of future math on this house of cards.
Re:A fleet of computers helps settle a 90-year-old math problem by plafl on Thursday August 27, 2020 @04:56AM (#24291476)
I don't share your pessimism.

If you think a shorter elegant proof is more desirable, well, I totally agree with you. I think math is more about the proofs than the results. On the other hand I have zero problems trusting a proof checked by a computer. I don't know you but I usually trust much more computers with tedious computations than myself.

Re:A fleet of computers helps settle a 90-year-old math problem by MaxBarraclough on Thursday August 27, 2020 @05:44AM (#24291792)
> fret not, a second computer program can assure us of its validity

Formal methods are rigorous enough and mature enough to be helpful in avionics software development, why not in research mathematics?

> I hope they are not building the foundations of future math on this house of cards.

Mathematics is always a house of cards, and human mathematicians will always be fallible. It's already possible for a published result to later turn out to be invalid, in turn invalidating papers that relied on it.

Re:A fleet of computers helps settle a 90-year-old math problem by throwaway_pdp09 on Thursday August 27, 2020 @06:55AM (#24292321)
Perhaps you can offer something better?
Re:A fleet of computers helps settle a 90-year-old math problem by Joker_vD on Thursday August 27, 2020 @07:35AM (#24292607)
How about: a group of highly sophisticated and very skilled mathematicians generate a proof no mere mortals (and lesser mathematicians) can understand, but fret not: another genius mathematician can assure us of its validity.

Hmmmmmmm. Yeah, that sounds much better. What do you think?