SAT写作经典事例：约翰·纳什
<p> <span word="When">When</span> <span word="the">the</span> <span word="young">young</span> <span word="Nash">Nash</span> <span word="had">had</span> <span word="applied">applied</span> <span word="to">to</span> <span word="graduate">graduate</span> <span word="school">school</span> <span word="at">at</span> <span word="Princeton">Princeton</span> <span word="in">in</span> 1948, <span word="his">his</span> <span word="old">old</span> <span word="Carnegie">Carnegie</span> <span word="Tech">Tech</span> <span word="professor">professor</span>, <span word="R">R</span>.<span word="J">J</span>. <span word="Duffin">Duffin</span>, <span word="wrote">wrote</span> <span word="only">only</span> <span word="one">one</span> <span word="line">line</span> <span word="on">on</span> <span word="his">his</span> <span word="letter">letter</span> <span word="of">of</span> <span word="recommendation">recommendation</span>: <span word="This">This</span> <span word="man">man</span> <span word="is">is</span> <span word="a">a</span> <span word="genius">genius</span> .</p><p> <span word="It">It</span> <span word="was">was</span> <span word="at">at</span> <span word="Princeton">Princeton</span> <span word="that">that</span> <span word="Nash">Nash</span> <span word="encountered">encountered</span> <span word="the">the</span> <span word="theory">theory</span> <span word="of">of</span> <span word="games">games</span>, <span word="then">then</span> <span word="recently">recently</span> <span word="launched">launched</span> <span word="by">by</span> <span word="John">John</span> <span word="von">von</span> <span word="Neumann">Neumann</span> <span word="and">and</span> <span word="Oskar">Oskar</span> <span word="Morgenstern">Morgenstern</span>. <span word="However">However</span>, <span word="they">they</span> <span word="had">had</span> <span word="only">only</span> <span word="managed">managed</span> <span word="to">to</span> <span word="solve">solve</span> <span word="non">non</span>-<span word="cooperative">cooperative</span> <span word="games">games</span> <span word="in">in</span> <span word="the">the</span> <span word="case">case</span> <span word="of">of</span> <span word="pure">pure</span> <span word="rivalries">rivalries</span> . <span word="The">The</span> <span word="young">young</span> <span word="Nash">Nash</span> <span word="turned">turned</span> <span word="to">to</span> <span word="rivalries">rivalries</span> <span word="with">with</span> <span word="mutual">mutual</span> <span word="gain">gain</span>. <span word="His">His</span> <span word="trick">trick</span> <span word="was">was</span> <span word="the">the</span> <span word="use">use</span> <span word="of">of</span> <span word="best">best</span>-<span word="response">response</span> <span word="functions">functions</span> <span word="and">and</span> <span word="a">a</span> <span word="recent">recent</span> <span word="theorem">theorem</span> <span word="that">that</span> <span word="had">had</span> <span word="just">just</span> <span word="emerged">emerged</span> - <span word="Kakutani">Kakutani</span> <span word="s">s</span> <span word="fixed">fixed</span> <span word="point">point</span>-<span word="theorem">theorem</span>.</p><p> <span word="His">His</span> <span word="main">main</span> <span word="result">result</span>, <span word="the">the</span> <span word="Nash">Nash</span> <span word="Equilibrium">Equilibrium</span> , <span word="was">was</span> <span word="published">published</span> <span word="in">in</span> 1950 <span word="in">in</span> <span word="the">the</span> <span word="Proceedings">Proceedings</span> <span word="of">of</span> <span word="the">the</span> <span word="National">National</span> <span word="Academy">Academy</span> <span word="of">of</span> <span word="Sciences">Sciences</span>. <span word="He">He</span> <span word="followed">followed</span> <span word="this">this</span> <span word="up">up</span> <span word="with">with</span> <span word="a">a</span> <span word="paper">paper</span> <span word="which">which</span> <span word="introduced">introduced</span> <span word="yet">yet</span> <span word="another">another</span> <span word="solution">solution</span> <span word="concept">concept</span> - <span word="this">this</span> <span word="time">time</span> <span word="for">for</span> <span word="two">two</span>-<span word="person">person</span> <span word="cooperative">cooperative</span> <span word="games">games</span> - <span word="the">the</span> <span word="Nash">Nash</span> <span word="Bargaining">Bargaining</span> <span word="Solution">Solution</span> <span word="in">in</span> 1950. <span word="A">A</span> 1951 <span word="paper">paper</span> <span word="attached">attached</span> <span word="his">his</span> <span word="name">name</span> <span word="to">to</span> <span word="yet">yet</span> <span word="another">another</span> <span word="side">side</span> <span word="of">of</span> <span word="economics">economics</span> - <span word="this">this</span> <span word="time">time</span>, <span word="the">the</span> <span word="Nash">Nash</span> <span word="Programme">Programme</span> , <span word="reflecting">reflecting</span> <span word="his">his</span> <span word="methodological">methodological</span> <span word="call">call</span> <span word="for">for</span> <span word="the">the</span> <span word="reduction">reduction</span> <span word="of">of</span> <span word="all">all</span> <span word="cooperative">cooperative</span> <span word="games">games</span> <span word="into">into</span> <span word="a">a</span> <span word="non">non</span>-<span word="cooperative">cooperative</span> <span word="framework">framework</span>.</p><p> <span word="His">His</span> <span word="contributions">contributions</span> <span word="to">to</span> <span word="mathematics">mathematics</span> <span word="were">were</span> <span word="no">no</span> <span word="less">less</span> <span word="remarkable">remarkable</span>. <span word="As">As</span> <span word="an">an</span> <span word="undergraduate">undergraduate</span>, <span word="he">he</span> <span word="had">had</span> <span word="inadvertently">inadvertently</span> <span word="proved">proved</span> <span word="Brouwer">Brouwer</span> <span word="s">s</span> <span word="fixed">fixed</span> <span word="point">point</span> <span word="theorem">theorem</span>. <span word="Later">Later</span> <span word="on">on</span>, <span word="he">he</span> <span word="went">went</span> <span word="on">on</span> <span word="to">to</span> <span word="break">break</span> <span word="one">one</span> <span word="of">of</span> <span word="Riemann">Riemann</span> <span word="s">s</span> <span word="most">most</span> <span word="perplexing">perplexing</span> <span word="mathematical">mathematical</span> <span word="conundrums">conundrums</span>. <span word="From">From</span> <span word="then">then</span> <span word="on">on</span>, <span word="Nash">Nash</span> <span word="provided">provided</span> <span word="breakthrough">breakthrough</span> <span word="after">after</span> <span word="breakthrough">breakthrough</span> <span word="in">in</span> <span word="mathematics">mathematics</span>.</p><p> <span word="In">In</span> 1958, <span word="on">on</span> <span word="the">the</span> <span word="threshold">threshold</span> <span word="of">of</span> <span word="his">his</span> <span word="career">career</span>, <span word="Nash">Nash</span> <span word="got">got</span> <span word="struck">struck</span> <span word="by">by</span> <span word="paranoid">paranoid</span> <span word="schizophrenia">schizophrenia</span>. <span word="He">He</span> <span word="lost">lost</span> <span word="his">his</span> <span word="job">job</span> <span word="at">at</span> <span word="MIT">MIT</span> <span word="in">in</span> 1959 <span word="and">and</span> <span word="was">was</span> <span word="virtually">virtually</span> <span word="incapicated">incapicated</span> <span word="by">by</span> <span word="the">the</span> <span word="disease">disease</span> <span word="for">for</span> <span word="the">the</span> <span word="next">next</span> <span word="two">two</span> <span word="decades">decades</span> <span word="or">or</span> <span word="so">so</span>. <span word="He">He</span> <span word="roamed">roamed</span> <span word="about">about</span> <span word="Europe">Europe</span> <span word="and">and</span> <span word="America">America</span>, <span word="finally">finally</span>, <span word="returning">returning</span> <span word="to">to</span> <span word="Princeton">Princeton</span> <span word="where">where</span> <span word="he">he</span> <span word="became">became</span> <span word="a">a</span> <span word="sad">sad</span>, <span word="ghostly">ghostly</span> <span word="character">character</span> <span word="on">on</span> <span word="the">the</span> <span word="campus">campus</span> - <span word="the">the</span> <span word="Phantom">Phantom</span> <span word="of">of</span> <span word="Fine">Fine</span> <span word="Hall">Hall</span> <span word="as">as</span> <span word="Rebecca">Rebecca</span> <span word="Goldstein">Goldstein</span> <span word="described">described</span> <span word="him">him</span> <span word="in">in</span> <span word="her">her</span> <span word="novel">novel</span>, <span word="Mind">Mind</span>-<span word="Body">Body</span> <span word="Problem">Problem</span>.</p>
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