Will_Sawin comments on Beyond Statistics 101 - Less Wrong

19 Post author: JonahSinick 26 June 2015 10:24AM

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Comment author: JonahSinick 27 June 2015 02:02:48AM *  8 points [-]

The top 3 answers to the MathOverflow question Which mathematicians have influenced you the most? are Alexander Grothendieck, Mikhail Gromov, and Bill Thurston. Each of these have expressed serious concerns about the community.

  • Grothendieck was actually effectively excommunicated by the mathematical community and then was pathologized as having gone crazy. See pages 37-40 of David Ruelle's book A Mathematician's Brain.

  • Gromov expresses strong sympathy for Grigory Perelman having left the mathematical community starting on page 110 of Perfect Rigor. (You can search for "Gromov" in the pdf to see all of his remarks on the subject.)

  • Thurston made very apt criticisms of the mathematical community in his essay On Proof and Progress In Mathematics. See especially the beginning of Section 3: "How is mathematical understanding communicated?" Terry Tao endorses Thurston's essay in his obituary of Thurston. But the community has essentially ignored Thurston's remarks: one almost never hears people talk about the points that Thurston raises.

Comment author: Will_Sawin 27 June 2015 11:29:34PM 1 point [-]

Thank you for all these interesting references. I enjoyed reading all of them, and rereading in Thurston's case.

Do people pathologize Grothendieck as having gone crazy? I mostly think people think of him as being a little bit strange. The story I heard was that because of philosophical disagreements with military funding and personal conflicts with other mathematicians he left the community and was more or less refusing to speak to anyone about mathematics, and people were sad about this and wished he would come back.

Comment author: JonahSinick 28 June 2015 12:47:25AM *  3 points [-]

Do people pathologize Grothendieck as having gone crazy?

His contribution of math is too great for people to have explicitly adopted a stance that was too unfavorable to him, and many mathematicians did in fact miss him a lot. But as Perelman said:

Of course, there are many mathematicians who are more or less honest. But almost all of them are conformists. They are more or less honest, but they tolerate those who are not honest." He has also said that "It is not people who break ethical standards who are regarded as aliens. It is people like me who are isolated.

If pressed, many mathematicians downplay the role of those who behaved unethically toward him and the failure of the community to give him a job in favor of a narrative "poor guy, it's so sad that he developed mental health problems."

Comment author: VoiceOfRa 28 June 2015 02:47:03AM 1 point [-]

Do people pathologize Grothendieck as having gone crazy?

From the details I'm aware of "gone crazy" is not a bad description of what happened.