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Grigory Perelman and the Poincare Conjecture
EagleHasLanded writes "Russian mathematician Grigory Perelman doesn't talk to journalists. Actually, he doesn't talk to anyone anymore. So we'll have to settle for insights via his biographer, Masha Gessen, who, strangely enough, has never talked to him either. But she has spoken with just about everyone who has ever had any significant interaction with Perelman, and the result is the book Perfect Rigor, which more than adequately explains why Perelman has gone into self-imposed exile, and why he probably won't collect the million dollars he won by solving the Poincare Conjecture."
By not buying or reading this book, I am doing what Perelman surely would have wanted.
I guess I have to be more than a little skeptical of the opinion of someone who's only built up a view of someone based on hearsay. Trying to spin this like it's an advantage is at best self deception. Maybe it's an advantage because you get to make more stuff up, but it's certainly no advantage in actually trying to understand the person, or honestly convey who they are.
I don't really blame the guy for not wanting to talk to journalists. With few exceptions, journalists don't represent the interests of the truth, (and most certainly not YOUR interests). Generally they're trying to sell some eyeballs, and you're the bait. Gessen talks about how the when you interview someone you're always fighting their own perception of them self. That may be true (though I'm not sure it's exactly a negotiation as much as it is an integration). When you read a journalists biography, you're constantly fighting what the journalist might have thought was the most interesting story to tell, (as opposed to the most accurate one).
AccountKiller
Yeah, and I think C (and all its derivatives) went the wrong route. The single "=" should have been comparison, and something else (like ":=") should have been assignment. I think that's logically cleaner, and gets along nicer with mathematics.
Mathematicians, by and large, tend to be very unhappy people in my experience. Not all of them, of course. Some mathematicians have a certain "spark" that allows them to abandon mathematics temporarily and give themselves over to the pleasure of an interpersonal relationship; but even so it is still against their nature to do so, and they will always slip back into the comfort of a mathematical outlook sooner or later.
Even with qualification, this seems like a very rash generalization. I attended a doctoral program in Logic at the University of California Berkeley, where the names on the office doors were pretty much the same as the names of the most significant theorems. What struck me was the incredible diversity of how the best mathematicians' minds worked. Some saw mathematics as a meaningless game with symbols. Others had a vivid imagination for platonic realities that they captured in their work. Some were multi-talented, outgoing, and verbally and socially skilled . Others were introverted and poor communicators. I don't know what mathematicians you know, but your generalization that mathematicians tend to be unhappy makes no sense to me at all. I personally knew, and in a few cases worked for, a number who solved important problems. An example would be Julia Robinson (Hilbert's Tenth Problem) who certainly suffered from poor health and did have some difficult times earlier in her life, but at the time I knew her (1986-1972) could not be described as an unhappy person.
Perelman's proof was only viewed as skeletal because at the time only part 1 of 3 had been sent on to arXiv.org. Yao took advantage of the moment and lead a bit of a smear campaign on Perelman in order to make himself, his team, and China look better (perhaps a bit more complex than that). Once Perelman released part 2 and 3 of his Poincaré solution, Yao made further noise about not understanding some parts of it, and went on to say that his group with Cao and Zhu did all the leg work to fill in the gaps. However their were no mathematical gaps, Perelman had done the work himself. Even John Morgan came forward and agreed that the reworkings done by Zhu and Cao did nothing to advance Poincare and that Perelmans work was complete and correct. So in short, all the noise the Chinese mathematicians were making was due to them trying to steal the thunder from Perelman and weasel their way into history.
If nothing else he could give it to a charity that helps children who have a gift in Math.
Who said anything about understanding?
Actually I was responding to jjohnson, who in his question asked for enlightenment.
He stated his reasons, we understand them.
If you understood them, why are you still asking questions about them?
Instead, I too am curious what makes his refusal ethically significant to you.
Because he refuses to work in a system he feels has been driven by cut throat politics. Because he, with all his eccentricities, was able to reach above all of that and find comfort in a life not dictated by men with agenda's who'd smile while sticking a dagger in your back for a place in history.
While your selected quotes indicate a consistent and logical approach to ethics (barring that Perelman's characterization of mathematics as a dishonest culture isn't nuanced and may even be self-serving), we also have a quote from another reply at your level:
The commercialization of mathematics offends him. He was deeply hurt by the many generous offers he received from U.S. universities after he published his proof. He apparently felt he had made a contribution that was far greater than any amount of money--and rather than express their appreciation in appropriately mathematical ways, by studying his proof and working to understand it--they were trying to take a shortcut and basically pay him off. By the same token, the million dollars will probably offend him. I don't think we will be hearing from Perelman again.
That quote is taken by the author of TFA who admittedly has never spoken with Perelman. What I've read from Perelman was taken by sources with whom he did speak with, and in them I found nothing about his disdain over the perception of being bought off. Perhaps that is just creative writing on the part of TFA, or maybe it is the truth, but I cannot tell. From my readings I took from it that it was his belief that math isn't something that should need a monetary reward, that the simple discovery of a new proof and the recognition that automatically goes with it are more than enough. It is a rare day we get to advance the knowledge of mankind, and he did so in a noble fashion, all the while his peers (Yau, Cao, and Zhu) worked hard to take the credit.
Assuming that characterization is correct, then it's not fair on Perelman's part to dictate what other peoples' perception of a reward should be.
I don't believe he tried to push his views on the world. When they tried to give him the Fields metal, they spent weeks trying to talk him into it, they even gave him three options; accept and come; accept and don’t come, and they'd send the medal later; third, I don’t accept the prize. From the very beginning, he told them he didn't accept. He didn't tell them that the prize and those that accept it were his lessers, just that he did not want it. He felt that if the proof was correct, that was all then he needed with no further recognition.
For example, what sort of communication did he make with the outside world to curb those job offers? How are they supposed to read his mind and determine what he wants for recognition?
This sounds a lot like a problem that will work itself out naturally. Why should a winner of a contest/prize have to announce to the world their intentions and how they'd like to be recognized? These people, companies, universities came to him, he has no responsibility to anyone to even return their calls as it were.
This sounds a lot like spite (as a strategy of altruism, I apologize for the connotation), sacrificing benefits both to yourself and others in order to harm someone in particular. While there can be ethical versions of spite, this seems more driven by pride than by some ethical standard. Finally, I don't have the ability to distinguish between an eccentric ethical system wh