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Mathematics is the music of reason.

數(shù)學(xué)是理性的音樂。

In mathematics, the art of proposing a question must be held of higher value than solving it.

在數(shù)學(xué)中，提出問題的藝術(shù)必須比解決問題更有價(jià)值。

The essence of mathematics lies in its freedom.

數(shù)學(xué)的本質(zhì)在于它的自由。

A mathematician is a device for turning coffee into theorems.

數(shù)學(xué)家是將咖啡轉(zhuǎn)化為定理的裝置。

The best way to learn mathematics is to do mathematics.

學(xué)習(xí)數(shù)學(xué)的最好方法就是做數(shù)學(xué)。

Topology is the study of the properties of a figure that are unchanged by any deformation.

拓?fù)鋵W(xué)是對(duì)圖形在任何變形下保持不變的性質(zhì)的研究。

The most exciting phrase to hear in science, the one that heralds new discoveries, is not 'Eureka!' but 'That's funny...'

在科學(xué)中最令人興奮的短語，預(yù)示著新發(fā)現(xiàn)的，不是“我找到了！”而是“這很有趣...”

In mathematics, you don't understand things. You just get used to them.

在數(shù)學(xué)中，你并不理解事物。你只是習(xí)慣了它們。

The beauty of mathematics is that it is one of the few areas of human endeavor where absolute truth can be known.

數(shù)學(xué)之美在于它是人類少數(shù)幾個(gè)可以知曉絕對(duì)真理的領(lǐng)域之一。

Mathematics is not a deductive science—that's a cliché. When you try to prove a theorem, you don't just list the hypotheses and then start to reason. What you do is trial and error, experimentation, guesswork.

數(shù)學(xué)不是一門演繹科學(xué)——那是陳詞濫調(diào)。當(dāng)你試圖證明一個(gè)定理時(shí)，你不僅僅是列出假設(shè)然后開始推理。你所做的是反復(fù)試驗(yàn)、實(shí)驗(yàn)和猜測(cè)。