News for hackers. Stuff that matters.
Re:The Poincaré Conjecture, Explained by wombatmobile on Sunday August 01, 2021 @09:01PM (#28031825)
> we should probably ask ourselves why someone like Perelman would rather be a recluse than participate in the community.

That's an interesting choice of language. For you to make that point at all indicates you feel it has some validity. But you didn't choose a compelling form of words to advocate your interest to other people. Why not?

Perhaps you are a mathematician, and perhaps this is some expression of the difference between maths and other endeavours.

The beauty of maths is that it exists independent of all other considerations. This seems to be where Perelman comes from. Perhaps Perelman goes further. It's hard to say without knowing more of his story, which Perelman doesn't give us.

You, on the other hand, find the human dimension of Perelman's story interesting - so much so that you dare to conjecture what he might think. Some emotional force drove you to post about his story, presumably because you desired other people to share your interest and commune with you in a way that might resonate and drive your enjoyment further. But you didn't push it. You only just barely said it at all. But you did suggest it.

I'm curious why you didn't choose a more strident form of advocacy to grab people by the lapel and drag them towards Perelman's story, where they might learn something and be entertained and enlightened.

Perhaps because advocacy isn't maths?

Perhaps because you have too much humility and respect to foist your own interests onto others?

What might Poincare make of this curiosity?

Re:The Poincaré Conjecture, Explained by smhost on Sunday August 01, 2021 @10:27PM (#28032278)
> The beauty of maths is that it exists independent of all other considerations. This seems to be where Perelman comes from.

Okay, so why publish at all? Why not just sit in mathematical nirvana in a cave, having discovered the math-God?

Re:The Poincaré Conjecture, Explained by gumby on Monday August 02, 2021 @12:09AM (#28032772)
I think many do this, though it’s impossible to tell of course. I do know a couple of mathematicians (one sometimes discussed on HN) who only circulate proofs, or conjectures, among themselves.
Re:The Poincaré Conjecture, Explained by thayne on Monday August 02, 2021 @01:46AM (#28033279)
Because you wish for others to share in its beuty.
Re:The Poincaré Conjecture, Explained by catgary on Monday August 02, 2021 @12:56PM (#28039256)
> The beauty of maths is that it exists independent of all other considerations. This seems to be where Perelman comes from. Perhaps Perelman goes further. It's hard to say without knowing more of his story, which Perelman doesn't give us.

So, I’d just like to point out that this is a very naive perspective on the philosophy of mathematics. Math is an intrinsically social activity, because you need to lead other mathematicians through your proofs/arguments.

Re:The Poincaré Conjecture, Explained by concreteblock on Monday August 02, 2021 @12:55AM (#28033043)
> But you didn't choose a compelling form of words to advocate your interest to other people. Why not?

I thought it was a good question and the wording was compelling enough.

Re:The Poincaré Conjecture, Explained by wombatmobile on Monday August 02, 2021 @01:38AM (#28033240)
I thought it was a good question too. I was prompted to think about Perelman the person by it.

It's the style of the remark that struck me:

> we should probably ask ourselves why