A COLLECTION OF GOOD WORDS
数学
Math
I had changed from being a mathematician to a practicing scientist. I was increasingly embarassed that I could no longer follow some of the more modern branches of pure mathematics.
我从一个数学家变成了一个实践的科学家。我越来越感到尴尬，因为我不能再学习一些更现代的纯数学分支了。
I like physics. I think it is the best science out of all three of them, because generally it's more useful. You learn about speed and velocity and time, and that's all clever stuff.
我喜欢物理。我认为这是三者中最好的科学，因为一般来说它更有用。你学习速度，速度和时间，这些都是很聪明的东西。
In Geometry (which is the only science that it hath pleased God hitherto to bestow on mankind) men begin at settling the significations of their words; which...they call Definitions.
在几何学(这是迄今为止唯一一门上帝乐意赐予人类的科学)中，人们开始确定自己话语的意义;哪一个他们叫定义。
Pure mathematics is on the whole distinctly more useful than applied. For what is useful above all is technique, and mathematical technique is taught mainly through pure mathematics.
从整体上看，纯数学明显比应用数学更有用。因为最重要的是技术，而数学技术主要是通过纯数学来教授的。
Today's scientists have substituted mathematics for experiments, and they wander off through equation after equation, and eventually build a structure which has no relation to reality.
今天的科学家们已经用数学代替了实验，他们在一个又一个方程之间徘徊，最终建立了一个与现实毫无关系的结构。
Many mathematicians derive part of their self-esteem by feeling themselves the proud heirs of a long tradition of rational thinking; I am afraid they idealize their cultural ancestors.
许多数学家感到自己是理性思维悠久传统的骄傲继承者，从而获得了部分自尊;恐怕他们把自己的文化祖先理想化了。
A reciprocal of a fraction is found by flipping it upside down. If you want the reciprocal of a mixed number or a whole number, just convert it to an improper fraction, and then flip it!
一个分数的倒数是通过把它倒过来求出来的。如果你想求一个带分数或整数的倒数，只要把它转换成假分数，然后翻转它!
The problem of distinguishing prime numbers from composite numbers and of resolving the latter into their prime factors is known to be one of the most important and useful in arithmetic.
素数与合数的区别问题以及将合数分解为素数因子的问题是算术中最重要和最有用的问题之一。
Physics was the first of the natural sciences to become fully modern and highly mathematical. Chemistry followed in the wake of physics, but biology, the retarded child, lagged far behind.
物理学是第一个完全现代化和高度数学化的自然科学。化学紧随物理学之后，但生物学这个弱智的孩子却远远落在后面。
I like mathematics because it is not human and has nothing particular to do with this planet or with the whole accidental universe - because, like Spinoza's God, it won't love us in return.
我喜欢数学，因为它不是人类，它与这个星球或整个偶然的宇宙没有什么特别的关系——因为，就像斯宾诺莎笔下的上帝一样，它也不会反过来爱我们。
Not a few other very eminent and scholarly men made the same request, urging that I should no longer through fear refuse to give out my work for the common benefit of students of Mathematics.
不少杰出的学者也提出了同样的要求，敦促我不要再因为害怕而拒绝为数学学生的共同利益而放弃我的工作。
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。
KEEP EXPLORING
沿着这个主题，再读几句。
The true spirit of delight, the exaltation, the sense of being more than Man, which is the touchstone of the highest excellence, is to be found in mathematics as surely as poetry.
真正的快乐精神，兴奋，超越自我的感觉，这是最优秀的试金石，在数学和诗歌中都能找到。
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!
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。
I liked math - that was my favorite subject - and I was very interested in astronomy and in physical science.
我喜欢数学——那是我最喜欢的科目——我对天文学和物理科学非常感兴趣。
The mathematical sciences particularly exhibit order symmetry and limitations; and these are the greatest forms of the beautiful.
数学科学尤其表现出顺序对称性和局限性;这些都是美的最伟大的形式。
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。