A COLLECTION OF GOOD WORDS
数学
Math
We must be willing to pay inspiring math and science teachers, who have high paying alternatives in industry, more to teach and reward students who take more challenging courses in high school.
我们必须愿意支付鼓舞人心的数学和科学教师更多的薪水，让他们在工业上有更高的选择，并奖励那些在高中学习更具挑战性课程的学生。
It has become almost a cliche to remark that nobody boasts of ignorance of literature, but it is socially acceptable to boast ignorance of science and proudly claim incompetence in mathematics.
说没有人会吹嘘自己对文学的无知几乎已经成了陈词滥调，但吹嘘自己对科学的无知、自豪地宣称自己在数学方面的无能是可以被社会接受的。
Maths is the purest science in that you don’t need any test tubes or animal testing to do it. All the other sciences eventually boil down to maths, apart from biology, which boils down to soup.
数学是最纯粹的科学，因为它不需要任何试管或动物实验。除了生物学可以归结为汤之外，其他所有的科学最终都归结为数学。
During the year, our schools are busy slashing P.E. and recess to make more time for math. During the summer, we get ourselves worked into a tizzy that our children will forget their fractions.
在这一年里，我们的学校忙于削减体育课和课间休息时间，以便有更多的时间学习数学。在夏天，我们会因为孩子们会忘记分数而兴奋不已。
I realise that in this undertaking I place myself in a certain opposition to views widely held concerning the mathematical infinite and to opinions frequently defended on the nature of numbers.
我意识到，在这项事业中，我把自己置身于一种与广泛持有的有关数学无限大的观点和经常为数字的本质辩护的观点相反的立场。
The mathematician, carried along on his flood of symbols, dealing apparently with purely formal truths, may still reach results of endless importance for our description of the physical universe.
这位数学家继续着他的符号洪流，显然是在处理纯粹形式的真理，对于我们对物理宇宙的描述可能仍然会得出无穷重要的结果。
It could be that the methods needed to take the next step may simply be beyond present day mathematics. Perhaps the methods I needed to complete the proof would not be invented for a hundred years.
有可能采取下一步所需要的方法只是超出了目前的数学。也许我完成证明所需要的方法一百年后才会发明出来。
No matter how correct a mathematical theorem may appear to be, one ought never to be satisfied that there was not something imperfect about it until it also gives the impression of being beautiful.
无论一个数学定理看起来多么正确，一个人永远不应该满足于它没有什么不完美，直到它也给人一种美丽的印象。
Numbers are the product of counting. Quantities are the product of measurement. This means that numbers can conceivably be accurate because there is a discontinuity between each integer and the next.
数字是计数的产物。数量是测量的产物。这意味着数字可以是准确的，因为每个整数和下一个整数之间存在不连续。
A mathematician is a person who can find analogies between theorems; a better mathematician is one who can see analogies between proofs and the best mathematician can notice analogies between theories.
数学家是能在定理之间找到类比的人;一个更好的数学家能看到证明之间的类比，而最好的数学家能注意到理论之间的类比。
Mathematicians have tried in vain to this day to discover some order in the sequence of prime numbers, and we have reason to believe that it is a mystery into which the human mind will never penetrate.
直到今天，数学家们还在徒劳地试图发现质数序列中的某种顺序，我们有理由相信，这是一个人类思维永远无法理解的谜。
Thus, the more succinctly a train of thought was expounded, and the more comprehensive the unity of its basic idea, the closer it would approximate to the prerequisites of the mathematical way of thinking.
因此，对一种思想的阐述越简练，其基本思想的统一性越全面，就越接近数学思维方式的前提。
KEEP EXPLORING
沿着这个主题，再读几句。
If mathematics is to be understood widely, we need to emphasise its elegance and its applications. Sometimes it seems that universities want to emphasise how difficult it is!
要使数学得到广泛的理解，我们需要强调它的优雅及其应用。有时候，大学似乎想强调这是多么困难!
If I were to awaken after having slept for a thousand years, my first question would be: Has the Riemann hypothesis been proven?
如果我在沉睡了一千年后醒来，我的第一个问题将是:黎曼假说是否得到了证实?
The further a mathematical theory is developed, the more harmoniously and uniformly does its construction proceed, and unsuspected relations are disclosed between hitherto separated branches of the science.
数学理论发展得越深入，它的建构就越协调一致，而且迄今为止这门科学的各个分支之间的关系也就揭示得越清楚。
Pure mathematicians just love to try unsolved problems - they love a challenge.
纯粹的数学家只是喜欢尝试未解决的问题——他们喜欢挑战。
The squares of the periodic times are to each other as the cubes of the mean distances.
周期时间的平方彼此之间是平均距离的立方。
One can imagine that the ultimate mathematician is one who can see analogies between analogies.
可以想象，最终的数学家是一个能在类比之间看到类比的人。