Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country.
數(shù)學不知道種族或地理界限;對于數(shù)學來說,文化世界是一個國家。
The important thing is not to stop questioning. Curiosity has its own reason for existing.
重要的是不要停止提問。好奇心有其存在的理由。
Pure mathematics is, in its way, the poetry of logical ideas.
純數(shù)學在某種程度上是邏輯思想的詩歌。
The mathematician's patterns, like the painter's or the poet's, must be beautiful; the ideas, like the colors or the words, must fit together in a harmonious way.
數(shù)學家的模式,就像畫家或詩人的模式一樣,必須是美麗的;思想,就像顏色或文字一樣,必須以和諧的方式結合在一起。
Mathematics is the music of reason.
數(shù)學是理性的音樂。
In mathematics, the art of proposing a question must be held of higher value than solving it.
在數(shù)學中,提出問題的藝術必須比解決問題更有價值。
The only way to learn mathematics is to do mathematics.
學習數(shù)學的唯一方法就是做數(shù)學。
Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding.
Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding.
數(shù)學不是關于數(shù)字、方程、計算或算法:它是關于理解的。
The essence of mathematics lies in its freedom.
數(shù)學的本質在于它的自由。
If I have seen further, it is by standing on the shoulders of giants.
如果我看得更遠,那是因為我站在巨人的肩膀上。