The mathematician's best work is art, a high perfect art, as daring as the most secret dreams of imagination, clear and limpid.
数学家最好的作品是艺术，一种高度完美的艺术，像想象的最秘密的梦想一样大胆，清晰而透明。
Mathematics is not a careful march down a well-cleared highway, but a journey into a strange wilderness, where the explorers often get lost.
数学不是沿着一条清理得很好的高速公路小心行进，而是进入一个陌生的荒野的旅程，探险者常常会迷路。
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 in poetry.
真正的喜悦精神、崇高感、超越人类的感觉，这是最高卓越的试金石，在数学中肯定能找到，就像在诗歌中一样。
The mathematician's patterns, like the painter's or the poet's, must be beautiful.
数学家的模式，就像画家或诗人的模式一样，必须是美丽的。
Mathematics is the most beautiful and most powerful creation of the human spirit.
数学是人类精神最美丽和最强大的创造。
The only way to learn mathematics is to do mathematics.
学习数学的唯一方法就是做数学。
The mathematician does not study pure mathematics because it is useful; he studies it because he delights in it and he delights in it because it is beautiful.
数学家研究纯数学不是因为它有用；他研究它是因为他喜欢它，他喜欢它是因为它美丽。
数学是理性的音乐。
The essence of mathematics lies in its freedom.
数学的本质在于它的自由。