>> Famous problems have often served as landmarks and lighthouses against which one can measure an improved understanding of this landscape. Solving one of these problems has been a certain sign of new insights and interesting methods, which would then be studied by a community of mathematicians, through a long and arduous process of talks, discussions, simplifications. At the end of this process, one will ideally find a textbook presentation of the results suitable for any graduate or even undergraduate student to study. Doesn't the same apply to art and literature, philosophy and political science? Don't we (in the study of music or art) have the same sequence of struggle for new solutions, a study of which things worked or failed and why, what they could impart to our science, and the necessity of passing on both process and derived conclusions to the next geveration, so that they can refine upon what's been learned? Art and literature are less often considered forms of "problem solving" than math or physica, but they are probably more crucial ways in which groups of humans solve large problems for their own survival... like math problems which are too complex for any one person to fully understand.
First they came for the artists and writers. Then they came for creative coders and engineers. Now they're coming for mathematicians and now you understand why it's a problem to deprive a generation of the right to conceive and sketch ideas which fail and to struggle and work out solutions for themselves?
Who will want to be a mathematician? Or an artist or a poet or a musician, in this world? What will consuming ideas and media even mean when they're totally remashed versions of things people don't understand the references to, and when the consumer themself has zero knowledge of prior art to give them the ability to discriminate between creative license, fact, and fiction?
Without evolving art or literature, stuck in a dead loop of culture, mathematics is a dead letter anyway. Because even if you do produce something miraculous and brilliant, it will be instantly absorbed and no one will ever understand it.
Gradient descent got us into this mess..which shows how lazy people have become. Gradient descent should not really be able to solve anything new. People want candy. Mathematicians should focus on finding a way out of the current problem. I'm not a mathematician, I'm an artist and coder and musician. I already have to deal with daily requests to "fix" terribly written AI code and so-called art. Now it's your turn. My guess is that there's likely some kind of quantum proof of work that evades LLM manufacture, that we profit from as creatures who survive in our Everett verse. Go find the way to reduce that so we can rid ourselves of this scourge.