考研英语阅读综合辅导之数学类
<p> 阅读综合辅导 [数学类] 题目序号 题型归类 第1题 段落结构题型 第2题 审题定位与引申推导题型 第3题 审题定位与细节推导题型 第4题 审题定位与关键词语题型 第5题 指代词题型 <span word="Computer">Computer</span> <span word="programmers">programmers</span> <span word="often">often</span> <span word="remark">remark</span> <span word="that">that</span> <span word="computing">computing</span> <span word="machines">machines</span>, <span word="with">with</span> <span word="aperfect">aperfect</span> <span word="lack">lack</span> <span word="of">of</span> <span word="discrimination">discrimination</span>, <span word="will">will</span> <span word="do">do</span> <span word="any">any</span> <span word="foolish">foolish</span> <span word="thing">thing</span> <span word="they">they</span> <span word="are">are</span> <span word="told">told</span> <span word="to">to</span> <span word="do">do</span>.<span word="The">The</span> <span word="reason">reason</span> <span word="for">for</span> <span word="this">this</span> <span word="lies">lies</span>, <span word="of">of</span> <span word="course">course</span>, <span word="in">in</span> <span word="the">the</span> <span word="narrow">narrow</span> <span word="fixation">fixation</span> <span word="of">of</span> <span word="the">the</span> <span word="computingmachines">computingmachines</span> <span word="intelligence">intelligence</span> <span word="on">on</span> <span word="the">the</span> <span word="details">details</span> <span word="of">of</span> <span word="its">its</span> <span word="own">own</span> <span word="perceptions">perceptions</span><span word="itsinability">itsinability</span> <span word="to">to</span> <span word="be">be</span> <span word="guided">guided</span> <span word="by">by</span> <span word="any">any</span> <span word="large">large</span> <span word="context">context</span>. <span word="In">In</span> <span word="a">a</span> <span word="psychological">psychological</span> <span word="description">description</span> <span word="ofthe">ofthe</span> <span word="computer">computer</span> <span word="intelligence">intelligence</span>, <span word="three">three</span> <span word="related">related</span> <span word="adjectives">adjectives</span> <span word="come">come</span> <span word="to">to</span> <span word="mind">mind</span>:<span word="single">single</span>-<span word="minded">minded</span>, <span word="literal">literal</span>-<span word="minded">minded</span>, <span word="and">and</span> <span word="simple">simple</span>-<span word="minded">minded</span>. <span word="Recognizing">Recognizing</span> <span word="this">this</span>, <span word="we">we</span> <span word="shouldat">shouldat</span> <span word="the">the</span> <span word="same">same</span> <span word="time">time</span> <span word="recognize">recognize</span> <span word="that">that</span> <span word="this">this</span> <span word="single">single</span>-<span word="mindedness">mindedness</span>, <span word="literal">literal</span>-<span word="mindedness">mindedness</span>, <span word="andsimple">andsimple</span>-<span word="mindedness">mindedness</span> <span word="also">also</span> <span word="characterizes">characterizes</span> <span word="theoretical">theoretical</span> <span word="mathematics">mathematics</span>, <span word="though">though</span> <span word="to">to</span> <span word="alesser">alesser</span> <span word="extent">extent</span>. <span word="Since">Since</span> <span word="science">science</span> <span word="tries">tries</span> <span word="to">to</span> <span word="deal">deal</span> <span word="with">with</span> <span word="reality">reality</span>, <span word="even">even</span> <span word="the">the</span> <span word="most">most</span> <span word="precisesciences">precisesciences</span> <span word="normally">normally</span> <span word="work">work</span> <span word="with">with</span> <span word="more">more</span> <span word="or">or</span> <span word="less">less</span> <span word="imperfectly">imperfectly</span> <span word="understood">understood</span> <span word="approximationstoward">approximationstoward</span> <span word="which">which</span> <span word="scientists">scientists</span> <span word="must">must</span> <span word="maintain">maintain</span> <span word="an">an</span> <span word="appropriate">appropriate</span> <span word="skepticism">skepticism</span>. <span word="Thus">Thus</span>, <span word="forinstance">forinstance</span>, <span word="it">it</span> <span word="may">may</span> <span word="come">come</span> <span word="as">as</span> <span word="a">a</span> <span word="shock">shock</span> <span word="to">to</span> <span word="mathematicians">mathematicians</span> <span word="to">to</span> <span word="learn">learn</span> <span word="that">that</span> <span word="theSchrodinger">theSchrodinger</span> <span word="equation">equation</span> <span word="for">for</span> <span word="the">the</span> <span word="hydrogen">hydrogen</span> <span word="atom">atom</span> <span word="is">is</span> <span word="not">not</span> <span word="a">a</span> <span word="literally">literally</span> <span word="correctdescription">correctdescription</span> <span word="of">of</span> <span word="this">this</span> <span word="atom">atom</span>, <span word="but">but</span> <span word="only">only</span> <span word="an">an</span> <span word="approximation">approximation</span> <span word="to">to</span> <span word="a">a</span> <span word="somewhat">somewhat</span> <span word="more">more</span> <span word="correctequation">correctequation</span> <span word="taking">taking</span> <span word="account">account</span> <span word="of">of</span> <span word="spin">spin</span>, <span word="magnetic">magnetic</span> <span word="dipole">dipole</span>, <span word="and">and</span> <span word="relativistic">relativistic</span> <span word="effects">effects</span>; <span word="andthat">andthat</span> <span word="this">this</span> <span word="corrected">corrected</span> <span word="equation">equation</span> <span word="is">is</span> <span word="itself">itself</span> <span word="only">only</span> <span word="an">an</span> <span word="imperfect">imperfect</span> <span word="approximation">approximation</span> <span word="to">to</span> <span word="an">an</span> <span word="infiniteset">infiniteset</span> <span word="of">of</span> <span word="quantum">quantum</span> <span word="field">field</span>-<span word="theoretical">theoretical</span> <span word="equations">equations</span>. <span word="Physicists">Physicists</span>, <span word="looking">looking</span> <span word="at">at</span> <span word="the">the</span> <span word="originalSchrodinger">originalSchrodinger</span> <span word="equation">equation</span>, <span word="learn">learn</span> <span word="to">to</span> <span word="sense">sense</span> <span word="in">in</span> <span word="it">it</span> <span word="the">the</span> <span word="presence">presence</span> <span word="of">of</span> <span word="many">many</span> <span word="invisible">invisible</span> <span word="termsin">termsin</span> <span word="addition">addition</span> <span word="to">to</span> <span word="the">the</span> <span word="differential">differential</span> <span word="terms">terms</span> <span word="visible">visible</span>, <span word="and">and</span> <span word="this">this</span> <span word="sense">sense</span> <span word="inspires">inspires</span> <span word="anentirely">anentirely</span> <span word="appropriate">appropriate</span> <span word="disregard">disregard</span> <span word="for">for</span> <span word="the">the</span> <span word="purely">purely</span> <span word="technical">technical</span> <span word="features">features</span> <span word="of">of</span> <span word="theequation">theequation</span>. <span word="This">This</span> <span word="very">very</span> <span word="healthy">healthy</span> <span word="skepticism">skepticism</span> <span word="is">is</span> <span word="foreign">foreign</span> <span word="to">to</span> <span word="the">the</span> <span word="mathematical">mathematical</span> <span word="approach">approach</span>. <span word="Mathematics">Mathematics</span> <span word="must">must</span> <span word="deal">deal</span> <span word="with">with</span> <span word="well">well</span>-<span word="defined">defined</span> <span word="situations">situations</span>. <span word="Thus">Thus</span>,<span word="mathematicians">mathematicians</span> <span word="depend">depend</span> <span word="on">on</span> <span word="an">an</span> <span word="intellectual">intellectual</span> <span word="effort">effort</span> <span word="outside">outside</span> <span word="of">of</span> <span word="mathematics">mathematics</span> <span word="for">for</span> <span word="thecrucial">thecrucial</span> <span word="specification">specification</span> <span word="of">of</span> <span word="the">the</span> <span word="approximation">approximation</span> <span word="that">that</span> <span word="mathematics">mathematics</span> <span word="is">is</span> <span word="to">to</span> <span word="takeliterally">takeliterally</span>. <span word="Give">Give</span> <span word="mathematicians">mathematicians</span> <span word="a">a</span> <span word="situation">situation</span> <span word="that">that</span> <span word="is">is</span> <span word="the">the</span> <span word="least">least</span> <span word="bit">bit</span> <span word="ill">ill</span>-<span word="defined">defined</span>,<span word="and">and</span> <span word="they">they</span> <span word="will">will</span> <span word="make">make</span> <span word="it">it</span> <span word="well">well</span>-<span word="defined">defined</span>, <span word="perhaps">perhaps</span> <span word="appropriately">appropriately</span>, <span word="but">but</span> <span word="perhapsinappropriately">perhapsinappropriately</span>. <span word="In">In</span> <span word="some">some</span> <span word="cases">cases</span>, <span word="the">the</span> <span word="mathematicians">mathematicians</span> <span word="literal">literal</span>-<span word="mindedness">mindedness</span> <span word="may">may</span> <span word="haveunfortunate">haveunfortunate</span> <span word="consequences">consequences</span>. <span word="The">The</span> <span word="mathematicians">mathematicians</span> <span word="turn">turn</span> <span word="the">the</span> <span word="scientists">scientists</span> <span word="theoreticalassumptions">theoreticalassumptions</span> <span word="that">that</span> <span word="is">is</span>, <span word="their">their</span> <span word="convenient">convenient</span> <span word="points">points</span> <span word="of">of</span> <span word="analytical">analytical</span> <span word="emphasis">emphasis</span>, <span word="intoaxioms">intoaxioms</span>, <span word="and">and</span> <span word="then">then</span> <span word="take">take</span> <span word="these">these</span> <span word="axioms">axioms</span> <span word="literally">literally</span>. <span word="This">This</span> <span word="brings">brings</span> <span word="the">the</span> <span word="danger">danger</span> <span word="that">that</span> <span word="theymay">theymay</span> <span word="also">also</span> <span word="persuade">persuade</span> <span word="the">the</span> <span word="scientists">scientists</span> <span word="to">to</span> <span word="take">take</span> <span word="these">these</span> <span word="axioms">axioms</span> <span word="literally">literally</span>. <span word="The">The</span> <span word="question">question</span>,<span word="central">central</span> <span word="to">to</span> <span word="the">the</span> <span word="scientific">scientific</span> <span word="investigation">investigation</span> <span word="but">but</span> <span word="intensely">intensely</span> <span word="disturbing">disturbing</span> <span word="in">in</span> <span word="themathematical">themathematical</span> <span word="context">context</span><span word="what">what</span> <span word="happens">happens</span> <span word="if">if</span> <span word="the">the</span> <span word="axioms">axioms</span> <span word="are">are</span> <span word="relaxed">relaxed</span>?<span word="is">is</span> <span word="therebyignored">therebyignored</span>. <span word="The">The</span> <span word="physicist">physicist</span> <span word="rightly">rightly</span> <span word="dreads">dreads</span> <span word="precise">precise</span> <span word="argument">argument</span>, <span word="since">since</span> <span word="an">an</span> <span word="argumentthat">argumentthat</span> <span word="is">is</span> <span word="convincing">convincing</span> <span word="only">only</span> <span word="if">if</span> <span word="it">it</span> <span word="is">is</span> <span word="precise">precise</span> <span word="loses">loses</span> <span word="all">all</span> <span word="its">its</span> <span word="force">force</span> <span word="if">if</span> <span word="the">the</span> <span word="assumptionson">assumptionson</span> <span word="which">which</span> <span word="it">it</span> <span word="is">is</span> <span word="based">based</span> <span word="are">are</span> <span word="slightly">slightly</span> <span word="changed">changed</span>, <span word="whereas">whereas</span> <span word="an">an</span> <span word="argument">argument</span> <span word="that">that</span> <span word="isconvincing">isconvincing</span> <span word="though">though</span> <span word="imprecise">imprecise</span> <span word="may">may</span> <span word="well">well</span> <span word="be">be</span> <span word="stable">stable</span> <span word="under">under</span> <span word="small">small</span> <span word="perturbations">perturbations</span> <span word="of">of</span> <span word="itsunderlying">itsunderlying</span> <span word="assumptions">assumptions</span>. 1.<span word="The">The</span> <span word="author">author</span> <span word="discusses">discusses</span> <span word="computing">computing</span> <span word="machines">machines</span> <span word="in">in</span> <span word="the">the</span> <span word="first">first</span> <span word="paragraph">paragraph</span> <span word="primarily">primarily</span> <span word="inorder">inorder</span> <span word="to">to</span> <span word="do">do</span> <span word="which">which</span> <span word="of">of</span> <span word="the">the</span> <span word="following">following</span>? [<span word="A">A</span>] <span word="Indicate">Indicate</span> <span word="the">the</span> <span word="dangers">dangers</span> <span word="inherent">inherent</span> <span word="in">in</span> <span word="relying">relying</span> <span word="to">to</span> <span word="a">a</span> <span word="great">great</span> <span word="extent">extent</span> <span word="on">on</span> <span word="machines">machines</span>. [<span word="B">B</span>] <span word="Illustrate">Illustrate</span> <span word="his">his</span> <span word="views">views</span> <span word="about">about</span> <span word="the">the</span> <span word="approach">approach</span> <span word="of">of</span> <span word="mathematicians">mathematicians</span> <span word="to">to</span> <span word="problemsolving">problemsolving</span>. [<span word="C">C</span>] <span word="Compare">Compare</span> <span word="the">the</span> <span word="work">work</span> <span word="of">of</span> <span word="mathematicians">mathematicians</span> <span word="with">with</span> <span word="that">that</span> <span word="of">of</span> <span word="computer">computer</span> <span word="programmers">programmers</span>. [<span word="D">D</span>] <span word="Provide">Provide</span> <span word="one">one</span> <span word="definition">definition</span> <span word="of">of</span> <span word="intelligence">intelligence</span>. 2.<span word="It">It</span> <span word="can">can</span> <span word="be">be</span> <span word="inferred">inferred</span> <span word="form">form</span> <span word="the">the</span> <span word="text">text</span> <span word="that">that</span> <span word="scientists">scientists</span> <span word="make">make</span> <span word="which">which</span> <span word="of">of</span> <span word="the">the</span> <span word="followingassumptions">followingassumptions</span> <span word="about">about</span> <span word="scientific">scientific</span> <span word="arguments">arguments</span>? [<span word="A">A</span>] <span word="The">The</span> <span word="literal">literal</span> <span word="truth">truth</span> <span word="of">of</span> <span word="the">the</span> <span word="arguments">arguments</span> <span word="can">can</span> <span word="be">be</span> <span word="made">made</span> <span word="clear">clear</span> <span word="only">only</span> <span word="in">in</span> <span word="a">a</span> <span word="mathematicalcontext">mathematicalcontext</span>. [<span word="B">B</span>] <span word="The">The</span> <span word="arguments">arguments</span> <span word="necessarily">necessarily</span> <span word="ignore">ignore</span> <span word="the">the</span> <span word="central">central</span> <span word="question">question</span> <span word="of">of</span> <span word="scientificinvestigation">scientificinvestigation</span>. [<span word="C">C</span>] <span word="The">The</span> <span word="arguments">arguments</span> <span word="probably">probably</span> <span word="will">will</span> <span word="be">be</span> <span word="convincing">convincing</span> <span word="only">only</span> <span word="to">to</span> <span word="other">other</span> <span word="scientists">scientists</span>. [<span word="D">D</span>] <span word="The">The</span> <span word="premises">premises</span> <span word="on">on</span> <span word="which">which</span> <span word="the">the</span> <span word="arguments">arguments</span> <span word="are">are</span> <span word="based">based</span> <span word="may">may</span> <span word="change">change</span>. 3.<span word="According">According</span> <span word="to">to</span> <span word="the">the</span> <span word="text">text</span>, <span word="mathematicians">mathematicians</span> <span word="present">present</span> <span word="a">a</span> <span word="risk">risk</span> <span word="to">to</span> <span word="scientist">scientist</span> <span word="for">for</span> <span word="whichof">whichof</span> <span word="the">the</span> <span word="following">following</span> <span word="reasons">reasons</span>? [<span word="A">A</span>] <span word="Mathematicians">Mathematicians</span> <span word="may">may</span> <span word="provide">provide</span> <span word="theories">theories</span> <span word="that">that</span> <span word="are">are</span> <span word="incompatible">incompatible</span> <span word="with">with</span> <span word="thosealready">thosealready</span> <span word="developed">developed</span> <span word="by">by</span> <span word="scientists">scientists</span>. [<span word="B">B</span>] <span word="Mathematicians">Mathematicians</span> <span word="may">may</span> <span word="define">define</span> <span word="situations">situations</span> <span word="in">in</span> <span word="a">a</span> <span word="way">way</span> <span word="that">that</span> <span word="is">is</span> <span word="incomprehensible">incomprehensible</span> <span word="toscientists">toscientists</span>. [<span word="C">C</span>] <span word="Mathematicians">Mathematicians</span> <span word="may">may</span> <span word="convince">convince</span> <span word="scientists">scientists</span> <span word="that">that</span> <span word="theoretical">theoretical</span> <span word="assumptions">assumptions</span> <span word="arefacts">arefacts</span>. [<span word="D">D</span>] <span word="Scientists">Scientists</span> <span word="may">may</span> <span word="come">come</span> <span word="to">to</span> <span word="believe">believe</span> <span word="that">that</span> <span word="axiomatic">axiomatic</span> <span word="statements">statements</span> <span word="are">are</span> <span word="untrue">untrue</span>. 4.<span word="The">The</span> <span word="author">author</span> <span word="suggests">suggests</span> <span word="that">that</span> <span word="the">the</span> <span word="approach">approach</span> <span word="of">of</span> <span word="physicists">physicists</span> <span word="to">to</span> <span word="solving">solving</span> <span word="scientificproblem">scientificproblem</span> <span word="is">is</span> <span word="which">which</span> <span word="of">of</span> <span word="the">the</span> <span word="following">following</span>? [<span word="A">A</span>] <span word="Practical">Practical</span> <span word="for">for</span> <span word="scientific">scientific</span> <span word="purposes">purposes</span>. [<span word="B">B</span>] <span word="Detrimental">Detrimental</span> <span word="to">to</span> <span word="scientific">scientific</span> <span word="progress">progress</span>. [<span word="C">C</span>] <span word="Unimportant">Unimportant</span> <span word="in">in</span> <span word="most">most</span> <span word="situations">situations</span>. [<span word="D">D</span>] <span word="Expedient">Expedient</span>, <span word="but">but</span> <span word="of">of</span> <span word="little">little</span> <span word="long">long</span>-<span word="term">term</span> <span word="value">value</span>. 5.<span word="The">The</span> <span word="author">author</span> <span word="implies">implies</span> <span word="that">that</span> <span word="scientists">scientists</span> <span word="develop">develop</span> <span word="a">a</span> <span word="healthy">healthy</span> <span word="skepticism">skepticism</span> <span word="because">because</span> <span word="theyare">theyare</span> <span word="aware">aware</span> <span word="that">that</span> [<span word="A">A</span>] <span word="mathematicians">mathematicians</span> <span word="are">are</span> <span word="better">better</span> <span word="able">able</span> <span word="to">to</span> <span word="solve">solve</span> <span word="problems">problems</span> <span word="than">than</span> <span word="are">are</span> <span word="scientists">scientists</span>. [<span word="B">B</span>] <span word="changes">changes</span> <span word="in">in</span> <span word="axiomatic">axiomatic</span> <span word="propositions">propositions</span> <span word="will">will</span> <span word="inevitably">inevitably</span> <span word="undermine">undermine</span> <span word="scientificarguments">scientificarguments</span>. [<span word="C">C</span>] <span word="well">well</span>-<span word="defined">defined</span> <span word="situations">situations</span> <span word="are">are</span> <span word="necessary">necessary</span> <span word="for">for</span> <span word="the">the</span> <span word="design">design</span> <span word="of">of</span> <span word="reliableexperiments">reliableexperiments</span>. [<span word="D">D</span>] <span word="some">some</span> <span word="factors">factors</span> <span word="in">in</span> <span word="most">most</span> <span word="situations">situations</span> <span word="must">must</span> <span word="remain">remain</span> <span word="unknown">unknown</span>. [答案与考点解析] 1.【答案】<span word="B">B</span> 【考点解析】这是一道写作手法题。旨在考察考生的语言基本功和对文章段落结构的认识。这是一道比较难的题目。通过仔细阅读第一段并且把第一段和本文其它段落相联系，可推导出本题的正确选项是<span word="B">B</span>。原文作者借用大家所熟悉的<span word="computing">computing</span> <span word="machines">machines</span>作为例子来帮助我们更好的了解<span word="theoretical">theoretical</span> <span word="mathematics">mathematics</span>的特点。考生在解题时一定要识别出作者的写作手法和意图。 2.【答案】<span word="D">D</span> 【考点解析】这是一道审题定位与引申推导题。通过本题题干中的<span word="arguments">arguments</span>一词可将本题的答案信息来源迅速确定在尾段。通过仔细阅读理解尾段的内容并且根据尾段的内容进行推导，可得知本题的正确选项应该是突出<span word="the">the</span> <span word="premisesmay">premisesmay</span> <span word="change">change</span>的选项<span word="D">D</span>。考生在解题时即要具备迅速审题定位的能力，又要具备理解原文深层含义的能力。 3.【答案】<span word="C">C</span> 【考点解析】这是一道审题定位与细节推导题。根据本题题干中的<span word="risk">risk</span>一词可将本题的答案信息来源确定在原文倒数第二段的倒数第二句，通过仔细阅读倒数第二段的倒数第二句和第三句，尤其是倒数第二句中<span word="danger">danger</span>一词后面的同谓语从句，我们可以推断出本题的正确选项是突出<span word="theoretical">theoretical</span> <span word="assumptions">assumptions</span> <span word="are">are</span> <span word="facts">facts</span>的选项<span word="C">C</span>。考生在解题时一定要善于深入理解原文的含义，千万不能只停留在文字的表面。 4.【答案】<span word="A">A</span> 【考点解析】本题是一道审题定位与关键词语题。通过本题题干中的<span word="physicists">physicists</span>可将本题的答案信息来源迅速确定在第二段的倒数第二句。通过阅读本句以及它的前后句，尤其是它后面的一句话（第二段的尾句），我们可以推断出本题的正确选项应该是表达<span word="healthy">healthy</span>（有益的）含义的选项<span word="A">A</span>，因为该选项中的<span word="practical">practical</span>是一个表示肯定的词语。考生在解题时一定要善于审题定位，更要善于理解句间关系所表达的内容。 5.【答案】<span word="D">D</span> 【考点解析】这是一道指代词题型。根据本题题干中的<span word="healthy">healthy</span> <span word="skepticism">skepticism</span>可将本题的答案信息来源迅速确定在第二段的尾句，该句中的指代词<span word="this">this</span>暗示我们本题的真正答案信息来源在第二段的倒数第二句，通过仔细阅读和理解倒数第二段的第二句话，我们可以得知强调<span word="invisible">invisible</span>的选项<span word="D">D</span>是本题的正确选项，因为该选项中含有<span word="unknown">unknown</span>一词。考生在解题时应注意指代词的作用和功能，更要注意对原文细节的理解和把握。 [参考译文] 计算机程序员经常说计算机器会执行任何愚蠢的命令，因为它们完全缺乏辨别力。当然，其原因在于计算机的智力在其感知细节上的狭窄固定性它不能被冗长的上下文所引导。三个相关的形容词可以用来对计算机进行心理上的描述：单一的思维，刻板的思维，简单的思维。在认识到这一点的同时，我们也应该认识到这种单一的思维，刻板的思维，简单的思维同样可以用来（尽管只是在较低的程度上）描述理论数学。 由于科学总是处理现实的问题，即使最精确的科学也通常在或多或少的不完全理解的近似的基础上探讨现实，对此，科学家必须保持适当的怀疑。例如，当数学家得知关于氢原子的薛定谔方程并不是对这种原子的精确的描述，而只是在考虑了旋转、磁极以及相对论作用的基础上一个稍微正确的近似方程，并且这个所谓的正确方程自身也只是对一个无穷量子理论场的不完美的近似时，他们一定深感震惊。当物理学家看到最初的薛定谔方程时，他们从中感知到在可见的各种关系之外，仍然存在着许多不可见的关联，而这种感知就会激励物理学家合理地忽略方程中纯技术的特色。这种非常有益的怀疑态度对于数学领域而言则是较为陌生的。 数学家必须研究精确界定的情况。因此，数学家依赖数学以外的努力来对数学照字面意义理解的近似性加以详细的说明。当给予数学家一个不确定程度较小的情形时，他们会把它转化成一个完全确定的状态。这种转化可能是合适的，也可能是不合适的。在某些情形下，数学家的这种刻板思维可能会产生不幸的后果。数学家把科学家的理论假设，也就是科学家分析重点的权宜之点，转化成公理，然后依据精确字义理解这些公理。他们可能还会说服科学家依据字义理解公理，这就会带来危险。科学家调查的中心问题，在数学领域则成为极其扰乱人心的问题，因而被忽略如果公理不严谨会发生什么情况？ 物理学家惧怕精确的论断是对的，因为一个仅仅因其精确性而使人信服的论断，当它所基于的假设略微改变时，其说服力就会丧失殆尽，而一个尽管不精确却具有说服力的论断，却会在它的基础假设受到小干扰时，依旧岿然不动。</p>
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