數學領域的名人名言

1. “The art of doing mathematics is finding that special case that contains all the germs of generality.”

   ——David Hilbert

   “數學之道在於找出一個這樣的特例，它包含普遍原則的全部萌芽。”

   ——大衛·希爾伯特

2. “Using the chain rule is like peeling an onion: you have to deal with each layer at a time, and if it is too big you will start crying.”

   ——Anonymous professor

   “運用鏈式法則就好比剝洋蔥：你得一層一層地剝開它的心，要是它的個頭太大，你還會鼻酸留淚。”

   ——某匿名教授

3. “Who has not been amazed to learn that the function y= e^x , like a phoenix rising again from its own ashes, is its own derivative?”

   ——Francois le Lionnais

   “有誰不曾被 y= e^x驚豔過？就像是浴火重生的鳳凰一般，它從自身的導數中一飛沖天”

   ——弗朗索瓦·勒利奧內

4. “Do not ask whether a statement is true until you know what it means.”

   ——Errett Bishop

   “明白一句話的意義之前，不要去間它是否正確。”

   ——埃雷特·畢肖普(美國實分析數學家)

5. “Calculus required continuity, and continuity was supposed to require the infinitely little; but nobody could discover what the infinitely little might be.”

   Bertrand Russell

   “微積分需要連續，而連續需要無窮小，但是沒人能探明無窮小的樣子。”

   ——伯特蘭·羅素

6. “One should never try to prove anything that is not almost obvious.”

   ——Alexander Grothendieck

   “不是幾乎顯而易見的道理，就根本不要去證明”

   ——亞歷山大·格羅滕迪克

7. “We often hear that mathematics consists mainly of proving theorems. Is a writer’s job mainly that of writing sentences?”

   ——Gian-Carlo Rota

   “人們常說數學的主要內容就是證明定理。那麼作家的主要工作就是書寫句子嗎?”

   ——吉安-卡洛·羅塔 注:意裔美籍數學家及哲學家

8. “For me, mathematics is a collection of examples; a theorem is a statement about a collection of examples and the purpose of proving theorems is to classify and explain the examples .”

   ——John B. Conway

   “對於我而言，數學就是範例的集合定理是爲了描述範例，證明定理是爲了分類並解釋範例。”

   ——約翰·B·康威

9. “There is hardly any theory which is more elementary than linear algebra, in spite of the fact that generations of professors and text book writers have obscured its simplicity by preposterous calculations with matrices.”

   ——Jean Dieudonne

   “儘管一批教授和教科書編者用關於矩陣的荒唐至極的計算內容掩蓋了線性代數的簡明性，但是鮮有與之相較更爲初等的理論。”

   ——讓·迪厄多內

10. “The introduction of numbers as coordinates is an act of violence.”

    ——Hermann Weyl

    “(參照一維連續統的特定劃分模式來)引入一些數作爲座標是一種魯莽的行爲。”

    ——赫爾曼·外爾

11. “You know, for a mathematician, he did not have enough imagination. But he has become a poet and now he is fine.”

    ——David Hilbert

    “他曾沒有足夠的想象力來當數學家。不過他成了一名詩人，現在過得挺好。”

    ——大衛·希爾伯特

12. “So far as the theories of mathematics are about reality, they are not certain; so far as they are certain, they are not about reality.”

    ——Albert Einstein

    “數學法則只要與現實有關，都是不確定的；若是確定的，都與現實無關。”

    ——阿爾伯特·愛因斯坦