The deepest theorems often have the simplest proofs - if you look at them from the right angle.
最深刻的定理往往有最簡(jiǎn)單的證明 - 如果你從正確的角度看它們的話。
In science, we try to explain what we don't understand. In mathematics, we try to understand what we can't explain.
在科學(xué)中,我們?cè)噲D解釋我們不理解的事物。在數(shù)學(xué)中,我們?cè)噲D理解我們無(wú)法解釋的事物。
Mathematical intuition is like a muscle - it grows stronger with exercise.
數(shù)學(xué)直覺(jué)就像肌肉一樣 - 通過(guò)鍛煉會(huì)變得更強(qiáng)大。
Sometimes the most profound discoveries come from asking the simplest questions.
有時(shí)最深刻的發(fā)現(xiàn)來(lái)自于提出最簡(jiǎn)單的問(wèn)題。
In mathematics, truth is always relative to the system you're working in.
在數(shù)學(xué)中,真理總是相對(duì)于你所在的系統(tǒng)而言的。
A good mathematician is someone who can see analogies between theorems. A great mathematician is someone who can see analogies between analogies.
一個(gè)好的數(shù)學(xué)家是能看到定理之間類比關(guān)系的人。一個(gè)偉大的數(shù)學(xué)家是能看到類比關(guān)系之間的類比關(guān)系的人。
Mathematics is the language in which the gods talk to people.
數(shù)學(xué)是神與人類交談的語(yǔ)言。