首页
外语
计算机
考研
公务员
职业资格
财经
工程
司法
医学
专升本
自考
实用职业技能
登录
外语
The British philosopher and logician Bertrand Russell once wrote: " Mathematics, rightly viewed, possesses not only truth, but s
The British philosopher and logician Bertrand Russell once wrote: " Mathematics, rightly viewed, possesses not only truth, but s
admin
2022-11-25
69
问题
The British philosopher and logician Bertrand Russell once wrote: " Mathematics, rightly viewed, possesses not only truth, but supreme beauty—a beauty cold and austere, like that of sculpture. "
【R1】________
This seems curious, since it is clear that artists have long found inspiration in mathematics. Greek architects appear to have used a number known as the golden ratio when designing the Parthenon, and Leonardo De Vinci’s Vitruvian Man, which depicts an outstretched figure encompassed by square and a circle, is an attempt to link human beauty with geometry.
And in the 20th century, artists have been exposed even more to mathematical ideas, initially because Victorian mathematicians found ways of visualizing formulae and functions in physical form. Now computers have made it possible to visualize even more complex functions such as fractal patterns, and then mathematical objects like the Mandelbrot set have become a household image.
【R2】________
What, then, constitutes beautiful mathematics? This is rarely debated among mathematicians, but there are some generally accepted tests that a piece of work must pass to be deemed beautiful— it must employ a minimal number of assumptions, for example, or give some original and important insight, or throw other work into new perspective. Elegance is perhaps a better term for it. There is a flip side, of course, a piece of mathematics laden with unnecessary assumptions and offering no new insights is deemed ugly.
The most famous example of a function that meets all the requirements of beauty is Euler’s formula (e
m
+1 =0), which links some of the most fundamental concepts in mathematics and draws together two entirely separate branches of the science—geometry, the study of space, and algebra, the study of structure and quantity. I have never seen a physical model of Euler’s formula, but it would be impossible to get a sense of the function’s power and majesty from such a thing.
【R2】________
Yet it need not be like that ten years ago, I began assembling the most beautiful examples of mathematics and exhibiting them as digital prints. My latest exhibition opens next week in London. I imagined the task an intellectual diversion, like hunting for shells on the seashore. Instead, I have found it a profoundly creative experience, and laden with emotional undertones.
【R4】________
Most people’s reaction to all this is fascination. They ask questions and demand explanations and answers. I cannot tell them what to think, but now when I display the images I write a commentary for each exhibit—not an explanation of the mathematics, but a snapshot of the ideas and emotions that the mathematics inspires me.
【R5】________
Which is why I have come to disagree with Russell. The beauty of mathematics can be cold and austere, when viewed in a particular way. But viewed in another, it can be rich and warm, funny and sad, romantic and profound. Just like sculpture—he was right about that.
A. But mathematicians are not usually thinking of images, models and sculptures when they talk about beauty. Mathematical beauty is not a visual quality. Judging a piece of mathematics by the way it looks when printed on paper is like judging a book by its typeface—it is an absurd notion.
B. For example, it is hard not to be awestruck by the language of symmetry, a branch of mathematics called group theory. Likewise, who could fail to be inspired by the mathematical description of the birth of stars? There are rich veins of inspiration wherever you look. And thus, for me, mathematical photography has become an art.
C. It is the equation that everybody knows, but it is just part of a theory. How you go about proving E really does equal mc
2
? The short answer is, with a great deal of care. A multinational team has just published the most accurate ever test of Einstein’s equation.
D. The best way I can describe it is to compare it with photography. Just as an ordinary photograph is a snapshot of natural beauty, an equation is a snapshot of mathematical beauty, or indeed ugliness or some other aesthetic. My "photographs" are simply mathematical statements that I have chosen. But tike conventional images, making the choice can imbue them with emotion.
E. Sculpture is widely admired in our societies—there is hardly a public space in our cities that does not boast a sculpture of some sort. But mathematical beauty is barely recognized beyond the confines of academia, and it is never celebrated.
F. So why has mathematical beauty failed to make a cultural impact? One reason could be that this spectrum of aesthetics, with beauty at one end and ugliness at the other, sounds horribly one-dimensional. And having rules for mathematical beauty feels, as Russell put it, cold and austere; this is beauty devoid of emotion, profoundly different to that which we experience and admire in the physical world.
【R4】
选项
答案
B
解析
根据前一段的“I have found it a profoundly creative experience,and laden with emotional undertones. ”可知,“我已经找到了深刻的创作经验,充满了情绪的意味。”接下来的内容应该与 “我”“情绪”和“数学”相关。故选B。
转载请注明原文地址:https://www.kaotiyun.com/show/Ma0D777K
本试题收录于:
公共英语五级笔试题库公共英语(PETS)分类
0
公共英语五级笔试
公共英语(PETS)
相关试题推荐
ManyAmericanshavebeenfeedingababyaspirinonceaday,believingitwouldprotectthemfromaheartattack,astroke,ande
ManyAmericanshavebeenfeedingababyaspirinonceaday,believingitwouldprotectthemfromaheartattack,astroke,ande
ManyAmericanshavebeenfeedingababyaspirinonceaday,believingitwouldprotectthemfromaheartattack,astroke,ande
Whilemanyworkersarewillingtolearnnewskillsorcompletelyretraintoimprovetheirfutureemployability,fewfeeltheyar
TheaverageBritishpeoplegetsix-and-a-halfhours’sleepanight,accordingtotheSleepCouncil.Ithasbeenknownforsomet
TheaverageBritishpeoplegetsix-and-a-halfhours’sleepanight,accordingtotheSleepCouncil.Ithasbeenknownforsomet
Longtimeago,everyoneknewthatregularbedtimeswereimportant."Dreamon!"mostmodernparentsmightreply.Butresearchby
Decadesofscientificresearchshowthatstressandanxietyareprevalentproblemsatwork,contributingtodeficitsinemployee
Decadesofscientificresearchshowthatstressandanxietyareprevalentproblemsatwork,contributingtodeficitsinemployee
Themovementofthesuncreatesperiodsof________.
随机试题
该病例进一步确诊的方法首选有关十二指肠球部溃疡的治疗,最重要的是
11个月男婴,弛张高热,咳嗽6天,精萎纳差,时有呕吐,周围血象白细胞26乘以十的九次方/L,查体:烦躁不安,气促,面色苍白,皮肤可见猩红热样皮疹,两肺可闻中小湿啰音。
基准地价系数修正法的基本原理是()。
根据《最高人民法院关于审理期货纠纷案件若干问题的规定》的规定,在期货公司的分支机构进行期货交易的,( )为合同履行地。
四书包括《大学》《中庸》《论语》《孟子》。()
以下哪些属自我防御机制?()
有人建议朱老师对违纪的学生进行罚款,朱老师拒绝了这一建议,这体现了朱老师()。
由于烧伤致使四个手指黏结在一起时,处置方法是用手术刀将手指黏结部分切开,然后实施皮肤移植,将伤口覆盖住。但是,有一个非常头痛的问题是,手指靠近指根的部分常会随着伤势的愈合又黏结起来,非再一次开刀不可。一位年轻的医生从穿着晚礼服的新娘子手上戴的白手套得到启发
软件开发的瀑布模型将软件的生存周期分为
Playistheprincipalbusinessofchildhood,andmoreandmoreinrecentyearsresearchhasshownthegreatimportanceofplayi
最新回复
(
0
)