A COLLECTION OF GOOD WORDS
数学
Math
I'm not terribly athletic. And... there's a lot of things I'm not good at. And if it makes anybody feel better, I was really a pretty bad math student growing up.
我不擅长运动。和…有很多事情我不擅长。如果这能让任何人感觉好点的话,我在成长过程中确实是一个数学很差的学生。
I tried to fit it in with some previous broad conceptual understanding of some part of mathematics that would clarify the particular problem I was thinking about.
我试着将它与之前对数学的某些部分的一些广泛的概念理解结合起来,这样可以澄清我正在思考的特定问题。
The social sciences, I thought, needed the same kind of rigor and the same mathematical underpinnings that had made the "hard" sciences so brilliantly successful.
我认为,社会科学需要同样的严谨,同样的数学基础,正是这些基础让“硬”科学取得了如此辉煌的成功。
It's also a reasonable scientific program to look at the dynamics of the standard model and to try to prove from that dynamics that it is computationally capable.
这也是一个合理的科学程序来研究标准模型的动力学并试图从动力学中证明它是有计算能力的。
The object of pure physics is the unfolding of the laws of the intelligible world; the object of pure mathematics that of unfolding the laws of human intelligence.
纯物理学的目标是揭示可理解世界的规律;揭示人类智力规律的纯数学对象。
As you say, the way string theory requires all these extra dimensions and this comes from certain consistency requirements about how string should behave and so on.
正如你所说,弦理论需要所有这些额外的维度这来自于弦应该如何表现的一致性要求等等。
It is hard to know what you are talking about in mathematics, yet no one questions the validity of what you say. There is no other realm of discourse half so queer.
在数学中很难知道你在说什么,但是没有人质疑你所说的有效性。没有比这更奇怪的话题了。
Some kids are good at math, some kids can run, and acting was an interest of mine. Because I knew you could do it for a living I decided, that's what I'm going to do.
有些孩子擅长数学,有些孩子会跑步,表演是我的兴趣之一。因为我知道你可以靠这个谋生我决定,这就是我要做的。
It's such a diversion to be constantly thinking of better ways I can teach people math that my hunger is for that really, for new ways of translating the beauty of it.
不断地思考更好的方法来教人们数学是一种消遣,我渴望找到新的方法来诠释数学之美。
I tried reading Hilbert. Only his papers published in mathematical periodicals were available at the time. Anybody who has tried those knows they are very hard reading.
我试着读希尔伯特的作品。当时只有他在数学期刊上发表的论文。任何尝试过的人都知道这些书很难读。
About seven years later I was given a book about the periodic table of the elements. For the first time I saw the elegance of scientific theory and its predictive power.
大约七年后,我得到了一本关于元素周期表的书。我第一次看到了科学理论的优雅及其预测能力。
Mark all mathematical heads which be wholly and only bent on these sciences, how solitary they be themselves, how unfit to live with others, how unapt to serve the world.
请注意所有完全专注于这些科学的数学头脑,他们自己是多么孤独,多么不适合和别人一起生活,多么不适合为世界服务。
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 scientific reasoning were limited to the logical processes of arithmetic, we should not get very far in our understanding of the physical world. One might as well attempt to grasp the game of poker entirely by the use of the mathematics of probability.
如果科学推理局限于算术的逻辑过程,我们对物理世界的理解就不会走得太远。人们不妨尝试完全利用概率数学来把握扑克游戏。
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。
I think philosophers can do things akin to theoretical scientists, in that, having read about empirical data, they too can think of what hypotheses and theories might account for that data. So there's a continuity between philosophy and science in that way.
我认为哲学家可以做一些类似于理论科学家的事情,在阅读了经验数据之后,他们也可以思考什么样的假设和理论可以解释这些数据。所以哲学和科学之间存在着连续性。
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。
Sometimes, if I really strain my brain, I can do multiplication.
有时候,如果我真的绞尽脑汁,我可以做乘法。