評論
打印
Well how many numbers are there to beat that with?
要這么做的話得要試多少個數?
You've got to do it for infinitely many numbers.
你得要這么試上無窮無盡的數字
So after you've done it for one, how much closer have you got?
那么你試了一個數后，距離目標還有多遠?
Well there's still infinitely many left.
仍有不可計數的那些
After you've done it for 1,000 numbers, how many, how much closer have you got?
在你試了1千個數后，還有多少，距離目標還有多遠?
After you've done a few million, there's still infinitely many left.
就算你試了數百萬個以后，還是有無窮無盡的。
In fact, you haven't done very many have you?
事實上，你沒試多少，對吧?
A computer can never check every number. Instead, what's needed is a mathematical proof.
計算機從來不能把每個數字都試一遍。相反，所需的是數學證明。
A mathematician is not happy until the proof is complete and considered complete by the standards of mathematics.
除非證明過程完整，而且就數學標準看來是完整的，不然數學家是不會高興的。
In mathematics there's the concept of proving something, of knowing it with absolute certainty.
數學世界中的概念是要證明某樣東西，要絕對確定地了解它。
Which, well it's called rigorous proof.
而這被稱為鐵證
Well, that's what mathethematics it's all about
數學就是那么回事
A prove it's a sort of reason, it explains why no numbers fit the equation without having to check every number
證明是一種論據，它解釋了為何沒有數字符合那個等式，而用不著查驗每個數字。
After centuries of faling to have a prove
歷經數世紀尋求證明的失敗
mathematicians began to abandon Fermat in favor of more serious math
數學家們開始撇開費馬而轉向更嚴肅的數學。
