Oh well, hopefully when they get the machines to solve math, they’ll still want them to run a couple percents faster every year.
Oh well, hopefully when they get the machines to solve math, they’ll still want them to run a couple percents faster every year.
However, unlike board games where the concepts can be explained to you in a few minutes (usually it becomes clear only when you play), a lot mathematics especially algebraic geometry/number-theory can have many layers of dependencies which takes years to absorb.
It would be interesting to compare it to understanding a large open source project like the Linux kernel, well enough to contribute. I would say it is not so conceptually deep as mathematics of the article (while still having a few great ideas). But understanding the source would require familiarization with 'tedious details' which incidentally, what this article is also about.
So the issue, stated this way, is not so much raw talent as time and effort. This leads to the topic of motivation - finding something great in an idea can lead to investment in the subject. For those more talented, the journey might be easier.
Alan Kay's maxim is crucial - a change of perspective can simplify things relative to 80 extra IQ points. A long sequence of technical steps can be compressed into a single good intuitive definition/idea like the complexity of navigating a path becomes clear from a higher viewpoint.
Grothendieck, considered by many to be the best mathematician of the past century, made the point that there were several colleagues who were more proficient at symbolic manipulation. But, he was able to look at things with a more foundational perspective and could make great contributions.
Here's a good essay by Thurston "Proof and Progress in mathematics". https://arxiv.org/pdf/math/9404236
He discusses this problem of being intimidated by jargon.
And yes, the desire for formalism has been stronger in the descendants than the ancestors for some time, but we're seeing that gap close in real time and it's truly exciting.
And, lets keep pushing the frontier of computation! We aren't just making better ad-delivery devices.
My bet: there is a very long list of skills for which the gap between you and a person randomly picked out the whole population is very large, and not in the direction you seem to think.