## 字幕列表 影片播放

• Hi everyone. I am Pietro Boselli. Dr. Pietro Boselli actually.

大家好，我是皮特羅·伯塞利，其實是皮特羅·伯塞利博士

• Today we're gonna talk about Fermat's Last Theorem.

今天我們來談談費馬最後定理

• He had a hobby. A passion for math.

費馬對數學有極大的興趣與熱忱

• So he would go back home and write his theorems and conjectures.

他會回家然後把他的定理跟推測寫下來

• Fermat's notebook had lots of conjectures.

費馬的筆記本裡有非常多假設

• He would write down saying,

他會寫下來然後想說

• "Oh I know some proof of this, but I have no time to write it."

「噢我知道它們的證明，但我現在沒空寫」

• Over the centuries, mathematicians went through this book and found proof to all his conjectures,

好多世紀以來，他的猜測都被數學家得證

• apart from the last theorem.

除了最後一個

• The last theorem was very interesting.

最後一個假設很有趣

• Many people attempted the solution, and thought they found it, but then somebody proved them wrong.

許多人都嘗試解它，並認為自己找到了，然後被人推翻

• Andrew Wiles discovered this theorem when he was 10 years old and became obsessed with it.

安德魯·懷爾斯在十歲時認識了這個定理且著迷於它

• He worked in secret because so many people attempted and failed.

他偷偷地嘗試解開，因為有非常多人試過且失敗了

• He found a solution and he presented to the public and he was acclaimed worldwide.

他找到了一個解，並且告知大眾，接受了全世界的表揚

• The Queen knighted him and it was a great success

那是個無與倫比的成功，英國女王甚至將他封為騎士

• until somebody actually found an error in his proof.

直到某天有人找到了一個錯誤

• He was not gonna give up that easily and he worked for another year, full time,

他沒那麼容易放棄，於是又努力了一年

• and he found a solution.

找到了解答

• And it goes like this:

是這樣的：

• If you have X to the n plus Y to the n equal Z to the n.

X 的 n 次方加上 Y 的 n 次方等於 Z 的 n 次方

• If n is a positive integer greater than 2,

如果 n 是大於二的整數

• this equation is never true.

那這個式子永遠不會成立

• It looks very simple, but the mathematics proving that something doesn't exist,

看似簡單，但數學家若想證明某東西不存在

• is always harder than proving that something exists.

比證明它存在難非常多

• This is a variety of application in cryptography.

這是密碼學中的各種運用方式

• Writing encryptions and codes and all of that, you know, secret stuff.

編寫密碼、代碼等等，那些秘密的東西

• And it opened up a whole new world for mathematics, a whole new branch of mathematics.

它打開了數學家的另一個世界，讓他們認識了全新的數學領域

Hi everyone. I am Pietro Boselli. Dr. Pietro Boselli actually.

A2 初級 中文 英國腔 定理 次方 數學家 證明 找到 假設