News for hackers. Stuff that matters.
Re:Monumental advance in number theory posted to the ArXiv b... by sillysaurusx on Monday November 07, 2022 @07:27PM (#33514504)
I’m not so sure. The same argument would apply to theoretical physics in 1960. Circa 2023, there are remarkably few shallow parts of physics.

Math as a whole may last longer, but this list reminds us how far we’ve come in a mere few millennia: https://usercontent.irccloud-cdn.com/file/SaI50Q1d/166786520...

On the timescale of civilization, it seems less and less likely that lone mathematicians can revolutionize the field.

We’re fortunate to have been born so early, relatively speaking.

Re:Monumental advance in number theory posted to the ArXiv b... by mlyle on Monday November 07, 2022 @10:18PM (#33515538)
Physics is limited by having to represent phenomena in our physical world simply.

Mathematics is not just a small integer multiple larger than this.

Re:Monumental advance in number theory posted to the ArXiv b... by joe_the_user on Tuesday November 08, 2022 @12:19AM (#33516111)
This is almost correct.

It's not that math is vastly larger (or more sophisticated) as a field. Both fields infinitely large in many senses. Rather, the number of respectable starting points where you can do interesting things is much larger, orders larger in math.

Re:Monumental advance in number theory posted to the ArXiv b... by romwell on Tuesday November 08, 2022 @05:37AM (#33517823)
There are plenty of unexplored things in physics too; the key word is "respectable".

Looking from the outside, physics suffers a lot from fashion/hot trend tendencies, where you need to be doing the "hot" thing to make the jumps necessary to the coveted Tenure Track — and otherwise, you get kicked out.

Re:Monumental advance in number theory posted to the ArXiv b... by nyokodo on Monday November 07, 2022 @10:24PM (#33515574)
> it seems less and less likely that lone mathematicians can revolutionize the field.

Which inspires the question: how much can cutting edge math be parallelized?

Re:Monumental advance in number theory posted to the ArXiv b... by squokko on Tuesday November 08, 2022 @04:56AM (#33517609)
But you can manufacture new areas of mathematics. For example, Conway's Game of Life, and then prove theorems on it.