I think that AI is helping us in ways that will only become clear in several years, as it is helping clarify knowledge, science and philosophy. In other words, I believe that it may usher in a new intellectual golden age, but not necessarily directly (by what “it” finds). Rather, it may force a reshaping of the current social hierarchies. Many people who have reigned over academia for decades are finding themselves on the defensive. Meanwhile, other models are slowly being valorized. If I am correct, we are in for quite a fight.
It will get vicious. What I find interesting with OpenAI breaking the Navier-Stokes problem with a counterexample is that… except for some drama among professional mathematicians… nothing much happened, at least thus far. This problem is about fluid mechanics. It regulates how water and air flow.
I believe that it illustrates an important nuance in human knowledge and why people care about it.
When I went to university, I went for Mathematics. My reasoning at the time was that if I got really good at Mathematics, then I would do well at everything else: Physics, Engineering, Programming…
But then, as I learned more advanced Mathematics, and I attended other courses, I did not seem to have an edge. Even today, as I do research on software programming, all my advanced courses in mathematics are rarely proving useful.
In fact, the only useful part is that I am fearless when it comes to Mathematics. I know that no matter how complicated it may seem, if I sit down and ask enough questions, and drill down deep enough, I can understand it.
I am not saying, in case you are wondering, that Mathematics is useless. Much of my best work relies on interesting Mathematics. For example, a widely used number parser that I wrote relies on Legendre’s partial fractions. Cool stuff.
What I am saying is that Mathematicians are relying on an uncited theorem:
The more Mathematics we have, the better technology we will build.
In other words, Mathematics may soon cure cancer.
The problem is that you can create an infinite amount of Mathematics. We already have much, much more than any one mathematician can know.
Now you may care for it the same way that you care for abstract art. It is a form of social construction where people show what their remarkable brains are capable of.
But people like myself, we want to go to Mars, cure aging, explore the galaxy, develop anti-gravity.
Do we care about Mathematics? We care very much about it as a tool, but not as the end point.
I am not saying that everything ought to be about Engineering. Blaise Pascal is worth studying because he can lead you to better understand what is meant by “I believe,” and he also did some cool Mathematics. You have no idea how smart and influential the man was.
In fact, I believe, I predict, that we are about to get more people like Pascal rising up. AI will give them air.