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> What will have been lost? Perhaps just "The pleasure of finding things out". I'll kindly disagree on this front, because when I'm walking a path toward solvi
by bayindirh 10d ago
> What will have been lost? Perhaps just "The pleasure of finding things out".
I'll kindly disagree on this front, because when I'm walking a path toward solving a solution, I mark a lot of steps for possible diversions to other paths hence solving adjacent or different problems with the method I have at hand.
Currently, AI takes us from A to B, and is improving on that front. However, the paths in science are not lines, but a trees. Methods are cross-pollinated from each other.
Human intuition enables this cross-pollination. AI works with a laser focus. Human intuition and resulting wide perspective sow the seeds for solutions in many areas at once.
- Spacecosmonaut 10d agoI recognize that if a document were to be published tomorrow containing solutions to all formulated open problems in mathematics we will have gained very little in mathematical understanding. But surely, if we know that the dead ends of exploring a problem are valuable, we should be able to explore them even if a solution is already known. It just requires that the mathematics community reshapes itself. And it must. Two years from now people might be able to run the computation that solved NS on their Iphone. I'm sure that whatever has been discarded during the NS exploration as a dead end you would be able to rediscover using purpose built tooling in the near future. The purpose of human mathematicians in the medium term might be to explore dead ends, and to provide human insights as context to attack other problems. But whether this type of work will remain necessary in the long term im not sure.