His contributions to mathematics were no less remarkable. As an undergraduate, he had inadvertently proved Brouwers fixed point theorem. Later on, he went on to break one of Riemanns most perplexing mathematical conundrums. From then on, Nash provided breakthrough after breakthrough in mathematics.
In 1958, on the threshold of his career, Nash got struck by paranoid schizophrenia. He lost his job at M.I.T. in 1959 and was virtually incapicated by the disease for the next two decades or so. He roamed about Europe and America, finally, returning to Princeton where he became a sad, ghostly character on the campus - the Phantom of Fine Hall as Rebecca Goldstein described him in her novel, Mind-Body Problem.
The disease began to evaporate in the early 1970s and Nash began to gradually to return to his work in mathematics. However, Nash himself associated his madness with his living on an ultralogical plane, breathing air too rare for most mortals, and if being cured meant he could no longer do any original work at that level, then, Nash argued, a remission might not be worthwhile in the end. As John Dryden once put it:
Great wits are sure to madness near allied, And thin partitions do their bounds divide.
约翰纳什
约翰纳什生于1928 年6 月13 日。父亲是电子工程师与教师,第一次世界大战的老兵。纳什小时孤独内向,虽然父母对他照顾有加,但老师认为他不合群不善社交。 纳什的数学天分大约在14 岁开始展现。他在普林斯顿大学读博士时刚刚二十出头,但他的一篇关于非合作博弈的博士论文和其他相关文章,确立了他博弈论大师的地位。在20 世纪50 年代末,他已是闻名世界的科学家了。
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