A COLLECTION OF GOOD WORDS
数学
Mathematics
It may be true, that men, who are mere mathematicians, have certain specific shortcomings, but that is not the fault of mathematics, for it is equally true of every other exclusive occupation.
诚然，仅仅是数学家的人也有某些特定的缺点，但这并不是数学的过错，因为其他任何排他性的职业也有同样的缺点。
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。
Now being in such grace and favor by reason I learned him some points of geometry and understanding of the art of mathematics with other things, I pleased him so that what I said he would not contrary.
现在，由于受到这样的恩宠，我学会了一些几何学的知识，用其他的东西来理解数学的艺术，我使他高兴，所以我说的话他不会反对。
Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality.
数学作为人类思维的一种表达方式，反映了人类积极的意志、沉思的理性和对审美完美的渴望。其基本要素是逻辑与直觉、分析与建构、共性与个性。
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沿着这个主题，再读几句。
I am interested in mathematics only as a creative art.
我对数学的兴趣只是作为一种创造性的艺术。
For scholars and laymen alike it is not philosophy but active experience in mathematics itself that can alone answer the question: What is mathematics?
对于学者和门外汉来说，只有数学本身的积极经验，而不是哲学，才能回答这个问题:什么是数学?
What is algebra exactly; is it those three-cornered things?
什么是代数;是那些三角形的东西吗?
In mathematics we have long since drawn the rein, and given over a hopeless race.
在数学上，我们早就控制不住自己，放弃了一场无望的竞赛。
There are no creeds in mathematics.
数学中没有信条。
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!