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[数学文化，求证] 未来的数学家是什么样子？阿诺德老师的说法

已有 1323 次阅读 2024-5-27 22:49 |个人分类:科学 - 艺术 - 社会|系统分类:观点评述

[数学文化，求证] 未来的数学家是什么样子？阿诺德老师的说法

阿诺德： Влади́мир И́горевич Арно́льд, Vladimir Igorevich Arnold

数学家： mathematician

杰出数学家： outstanding mathematician

沃尔夫数学奖： Wolf Prize Laureate in Mathematics

邵逸夫数学科学奖： The Prize in Mathematical Sciences, The SHAW Prize

Vladimir Arnold Wolf Prize Laureate in Mathematics 2001.jpg

图1 阿诺德老师 Влади́мир И́горевич Арно́льд, Vladimir Igorevich Arnold, 1937-06-12 ~ 2010-06-03，

2001年沃尔夫数学奖获得主， Wolf Prize Laureate in Mathematics 2001

https://wolffund.org.il/wp-content/uploads/2018/12/Vladimir-I-Arnold-Wolf-Prize-Mathematics-2001.jpg

https://wolffund.org.il/vladimir-i-arnold/

Vladimir Arnold The Shaw Prize Lecture in Mathematical Sciences 2008.jpg

图2 阿诺德老师，2008年度邵逸夫数学科学奖得主

Vladimir Arnold (1937-2010), The Prize inMathematical Sciences 2008, The Shaw Prize

https://www.shawprize.org/autobiography/vladimir-arnold/

https://www.shawprize.org/laureates/2008-mathematical-sciences/

rsbm20170016f01_裁剪.jpg

图3 阿诺德老师，1960年代的一次徒步旅行

https://royalsocietypublishing.org/cms/asset/15d3c322-c524-4370-a8a8-126318e25b6f/rsbm20170016f01.jpg

https://royalsocietypublishing.org/doi/10.1098/rsbm.2017.0016

阿诺德老师，1995-11-11，Shiu-Hong Lui 采访

https://www.kepuchina.cn/article/articleinfo?business_type=100&classify=0&ar_id=389707

Lui：您注意到不同文化背景的人研究数学的方式有什么不同吗？

阿诺德：多年来我一直没有意识到这些差异，但差异确实存在。几年前，我参加了在华盛顿特区举行的国际科学活动基金会（ISF）会议，该组织向俄罗斯科学家提供资助。一名美国与会者建议支持一些俄罗斯数学家，因为“他的工作很有美式风格”。我大为不解，并请他解释一下。“哦，”那个美国人回答说，“这意味着他经常出差，在各种会议上展示他的最新研究成果，并且让这一领域的所有专家都认识他。”而我的观点是，ISF应该更好地支持那些更有俄罗斯风格工作的人，即坐在家里努力证明基本定理，这些定理将是数学的永恒基石！

俄罗斯人的工资太低了（现在和过去都是），如果有人要从事数学研究，对他来说就这意味着数学是他的目标，而不是赚钱的手段。只要简单地改写西方所不知道的俄罗斯古典成就和思想（或将它们现代化），仍然有可能在西方数学界获得很高的声誉。

俄罗斯人对待知识、科学和数学的态度始终符合俄罗斯知识分子（intelligentsiya）的古老传统。这个词在其他语言中是不存在的，因为没有其他国家有类似的学者阶层，医生、艺术家、教师等等，他们对社会贡献所获得的回报，会远多于个人或金钱的利益。

An Interview with Vladimir Arnol'd

https://www.ams.org/journals/notices/199704/index.html

Lui: Do you notice any differences in the way people from different cultures do mathematics?

Arnol'd: I was unaware of these differences for many years, but they do exist. A few years ago, I was participating in an International Science Foundation (ISF) meeting in Washington, DC. This organization distributes grants to Russian scientists. One American participant suggested support for some Russian mathematician because “he is working in a good American style.” I was puzzled and asked for an explanation. “Well,” the American answered, “it means that he is traveling a lot to present all his latest results at all our conferences and is personally known to all experts in the field.” My opinion is that ISF should better support those who are working in the good Russian style, which is to sit at home working hard to prove fundamental theorems which will remain the cornerstones of mathematics forever!

Russian salaries are (and were) so small, that if someone is doing mathematics, it means that for him it is the goal and not a means to earn money. It is still possible to attain a high reputation in the Western mathematical community by simply rewriting (or modernizing) classical Russian achievements and ideas unknown to the West.

The Russian attitude toward knowledge, science, and mathematics always conforms to the old traditions of the Russian intelligentsiya. This word does not exist in other languages, since no other country has a similar caste of scholars, medical doctors, artists, teachers, etc., who find more reward from their contributions to society than from personal or monetary gains.

参考资料：

[1] 2024-02-27，阿诺德，V.I. /Vladimir Igorevich Arnold/陆启韶，中国大百科全书，第三版网络版[DB/OL]

https://www.zgbk.com/ecph/words?SiteID=1&ID=58394&Type=bkzyb&SubID=63597

[2] S. H. Lui (Shiu-Hong Lui), An Interview with Vladimir Arnol'd [J], NOTICES OF THE AMS, 1997, 44(4): 432-438

https://www.ams.org/journals/notices/199704/arnold.pdf

https://www.ams.org/journals/notices/199704/index.html

[3] 科普中国，2022-12-08，专访数学大师阿诺德：那些年顶级数学家在莫斯科齐聚一堂

https://www.kepuchina.cn/article/articleinfo?business_type=100&classify=0&ar_id=389707

[4] Vladimir Igorevich Arnold, MacTutor History of Mathematics Archive

https://mathshistory.st-andrews.ac.uk/Biographies/Arnold/

[5] Vladimir I Arnold, Moskva statsuniversitet, Crafoord Prize - Mathematics and Astronomy 1982

https://www.crafoordprize.se/prize-laureate/vladimir-i-arnold/

https://www.crafoordprize.se/news/the-crafoord-prize-1982/

[6] Vladimir Arnold, Wolf Prize Laureate in Mathematics 2001

https://wolffund.org.il/vladimir-i-arnold/

https://wolffund.org.il/the-wolf-prize/

[7] Vladimir Arnold (1937-2010), The Prize inMathematical Sciences 2008, The Shaw Prize

https://www.shawprize.org/autobiography/vladimir-arnold/

https://www.shawprize.org/laureates/2008-mathematical-sciences/

[8] Boris Khesin, Sergei Tabachnikov. Vladimir Igorevich Arnold. 12 June 1937—3 June 2010, 2017-08-30, Biographical Memoirs of Fellows of the Royal Society

doi: 10.1098/rsbm.2017.0016

https://royalsocietypublishing.org/doi/10.1098/rsbm.2017.0016

[9] Boris Khesin, Serge Tabachnikov. Memories of Vladimir Arnold [J]. Notices of the American Mathematical Society, 2012, 59(3): 482-502.

doi: 10.1090/noti813

https://www.ams.org/notices/201204/rtx120400482p.pdf

[10] Boris Khesin, Serge Tabachnikov. Tribute to Vladimir Arnold [J], 2012, American Mathematical Society, Notices of the American Mathematical Society, 2012, 59(3): 378-399.

doi: 10.1090/noti810

https://www.ams.org/notices/201203/rtx120300378p.pdf

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