Ah yes, those university days, a heady mix of Ph.D-level pure mathematics and world debating championships, or, as I like to say, "Hello, ladies. Oh yeah." Didn't get much sexier than the Spence at university, let me tell you.
啊,那些大学的岁月, 那段充斥着博士级纯理论数学 和世界辩论赛的时光, 或者,像我爱说的:“嗨,女士们。哇。” 没有比大学时期的斯宾塞更迷人的, 在我看来。
It is such a thrill for a humble breakfast radio announcer from Sydney, Australia, to be here on the TED stage literally on the other side of the world. And I wanted to let you know, a lot of the things you've heard about Australians are true. From the youngest of ages, we display a prodigious sporting talent. On the field of battle, we are brave and noble warriors. What you've heard is true. Australians, we don't mind a bit of a drink, sometimes to excess, leading to embarrassing social situations. (Laughter) This is my father's work Christmas party, December 1973. I'm almost five years old. Fair to say, I'm enjoying the day a lot more than Santa was.
对于我这样一个来自澳大利亚悉尼的小小的早间电台主持人, 能站在世界另一端的TED的讲坛上, 真是倍感荣幸. 让我告诉你们, 你们听到的 关于澳大利亚的见闻都是真的! 从很小的时候, 我们就展示出 惊人的运动天赋。 在战场上,我们是勇敢和高尚的战士。 你们所耳闻的都是真实的。 作为澳大利亚人,我们不介意喝点小酒, 有时候会过量,出现一些尴尬的场面。(笑声) 这是我父亲的工作圣诞聚会,是在1973年的12月。 我当时差不多5岁了。公平地说, 我玩得比圣诞老人开心多了。
But I stand before you today not as a breakfast radio host, not as a comedian, but as someone who was, is, and always will be a mathematician. And anyone who's been bitten by the numbers bug knows that it bites early and it bites deep.
但是今天我 并不是以一个早间电台主持人, 或者喜剧演员的身份,站在你们面前的,而是一个过去是、现在是、 将来也一定会是的数学家。 任何对数字感兴趣的人 都知道启蒙越早,印象越深.
I cast my mind back when I was in second grade at a beautiful little government-run school called Boronia Park in the suburbs of Sydney, and as we came up towards lunchtime, our teacher, Ms. Russell, said to the class, "Hey, year two. What do you want to do after lunch? I've got no plans." It was an exercise in democratic schooling, and I am all for democratic schooling, but we were only seven. So some of the suggestions we made as to what we might want to do after lunch were a little bit impractical, and after a while, someone made a particularly silly suggestion and Ms. Russell patted them down with that gentle aphorism, "That wouldn't work. That'd be like trying to put a square peg through a round hole."
时光倒转到我二年级的时候, 我在一所美丽的公立学校就读, 名叫博洛尼亚公园学校, 位于悉尼的郊区, 当将近午餐时,我们的老师 罗素女士,对着全班说道: “嗨,二年级的同学们,你们午餐之后想做什么? 我没有任何计划。” 那是一个民主教学的实践, 我完全支持民主教学,但是我们那时才7岁。 所以我们提出的午餐后活动 有点儿不切实际; 过了一会,有人提出了一个特别傻的建议, 罗素女士引用了一个谚语,非常温和地拒绝了他的提议: “那是行不通的, 就像是想让方枘穿过圆孔一样。”
Now I wasn't trying to be smart. I wasn't trying to be funny. I just politely raised my hand, and when Ms. Russell acknowledged me, I said, in front of my year two classmates, and I quote, "But Miss, surely if the diagonal of the square is less than the diameter of the circle, well, the square peg will pass quite easily through the round hole." (Laughter) "It'd be like putting a piece of toast through a basketball hoop, wouldn't it?"
那时我没想着耍小聪明, 我也没想着显得风趣 我只是礼貌地举起我的手, 然后当罗素女士同意我发言的时候, 当着所有二年级同学的面说到: “但是老师, 如果木枘的对角线 小于圆孔直径, 那么,木枘当然能非常轻松地通过圆孔。” (笑声) “那就像让一块烤面包穿过篮球圈一样,不是吗?”
And there was that same awkward silence from most of my classmates, until sitting next to me, one of my friends, one of the cool kids in class, Steven, leaned across and punched me really hard in the head. (Laughter) Now what Steven was saying was, "Look, Adam, you are at a critical juncture in your life here, my friend. You can keep sitting here with us. Any more of that sort of talk, you've got to go and sit over there with them."
当时也是一阵类似于此的尴尬沉默, 来自于大多数的同学, 直到坐我旁边的一个小朋友, 同时也是班级里挺酷的一个小孩,叫做史蒂芬,靠了过来 在我头上重重打了一拳。 (笑声) 那时史蒂芬接着说:“听着,亚当, 我的朋友,现在你是在生命中一个很重要的关口。 你可以继续在这和我们坐在一起。 但是如果你再说那种话,你就不得不离开 坐在那边和他们一起。”
I thought about it for a nanosecond. I took one look at the road map of life, and I ran off down the street marked "Geek" as fast as my chubby, asthmatic little legs would carry me.
我想了一纳秒, 审视了一下我的人生道路, 凭借我胖嘟嘟带有哮喘的小身体, 全速加入了"异类"行列.
I fell in love with mathematics from the earliest of ages. I explained it to all my friends. Maths is beautiful. It's natural. It's everywhere. Numbers are the musical notes with which the symphony of the universe is written. The great Descartes said something quite similar. The universe "is written in the mathematical language." And today, I want to show you one of those musical notes, a number so beautiful, so massive, I think it will blow your mind.
我很早的时候就已经爱上了数学。 我解释数学给我的朋友们: 数学很美丽, 它很自然,而且无处不在。 数字就像音符, 谱写出了宇宙这首交响乐。 伟大的笛卡尔曾经说过类似的话。 宇宙“是用数学的语言书写的。” 所以今天,我想向大家展示那些音符中的一个, 一种非常美丽、非常庞大的数字。 我想它会让你非常震惊。
Today we're going to talk about prime numbers. Most of you I'm sure remember that six is not prime because it's 2 x 3. Seven is prime because it's 1 x 7, but we can't break it down into any smaller chunks, or as we call them, factors. Now a few things you might like to know about prime numbers. One is not prime. The proof of that is a great party trick that admittedly only works at certain parties.
今天我们将谈谈质数。 我相信你们中的大部分人都记得6不是质数 因为它等于2 x 3。 7是质数因为它等于1 x 7, 而且我们不能把它约成任何更小的整数了, 或者叫因子. 你们也许想知道一些关于质数的事实. 1不是质数。 关于这一点的证明是一个很不错的聚会把戏, 当然只适合于某些聚会。
(Laughter)
(笑声)
Another thing about primes, there is no final biggest prime number. They keep going on forever. We know there are an infinite number of primes due to the brilliant mathematician Euclid. Over thousands of years ago, he proved that for us. But the third thing about prime numbers, mathematicians have always wondered, well at any given moment in time, what is the biggest prime that we know about?
另外一个关于质数的事实是,没有最终的最大的质数。 它们持续不断得增大下去。 我们知道有无限个质数, 多亏了绝顶聪明的数学家欧几里得。 一千多年前,他就为我们证明了它。 但是关于质数的第三点事实是, 数学家们一直在探索, 在任何时刻, 我们知道的最大质数是多少?
Today we're going to hunt for that massive prime. Don't freak out. All you need to know, of all the mathematics you've ever learned, unlearned, crammed, forgotten, never understood in the first place, all you need to know is this: When I say 2 ^ 5, I'm talking about five little number twos next to each other all multiplied together, 2 x 2 x 2 x 2 x 2. So 2 ^ 5 is 2 x 2 = 4, 8, 16, 32. If you've got that, you're with me for the entire journey. Okay? So 2 ^ 5, those five little twos multiplied together. (2 ^ 5) - 1 = 31. 31 is a prime number, and that five in the power is also a prime number. And the vast bulk of massive primes we've ever found are of that form: two to a prime number, take away one. I won't go into great detail as to why, because most of your eyes will bleed out of your head if I do, but suffice to say, a number of that form is fairly easy to test for primacy. A random odd number is a lot harder to test. But as soon as we go hunting for massive primes, we realize it's not enough just to put in any prime number in the power. (2 ^ 11) - 1 = 2,047, and you don't need me to tell you that's 23 x 89. (Laughter) But (2 ^ 13) - 1, (2 ^ 17) - 1 (2 ^ 19) - 1, are all prime numbers. After that point, they thin out a lot.
今天我们将去寻觅那个巨大的质数。 不要害怕。 在所有那些 你们曾经学过的、没学过的、死记硬背的、忘了的、 从来没有弄明白的数学知识中, 你们只需要知道一点: 当我说2的5次方时, 我说的是5个小小的2 紧密排列 都互相相乘, 2 x 2 x 2 x 2 x 2 所以2的5次方就是2 x 2 = 4, 8,16,32。 如果你理解这个,接下来全没问题。行吗? 所以2的5次方, 就是那5个小小的2互相相乘。 2的5次方减去1等于31。 31是一个质数,而且指数中的5 也是一个质数。 并且我们曾经发现的大型的质数中的很大一部分 都符合这个公式: 2的质数次方,再减去1。 我不会详细阐述为什么那样, 因为如果我那么做,你们当中的大多数人都会看得眼睛冒血, 我需要说的只是,那种形式的数字 相对容易检验是否是质数。 一个随机的奇数检验起来要难得多。 但是一旦我们开始寻找大型的质数的时候, 我们意识到 仅仅尝试用不同的质数做指数是不够的。 2的11次方减去1等于2047, 并且不需要我说你们也知道它等于23 x 89。 (笑声) 但是2的13次方减去1,2的17次方减去1, 2的19次方减去1,也全都是质数。 在那之后,它们就变得稀疏了很多。
And one of the things about the search for massive primes that I love so much is some of the great mathematical minds of all time have gone on this search. This is the great Swiss mathematician Leonhard Euler. In the 1700s, other mathematicians said he is simply the master of us all. He was so respected, they put him on European currency back when that was a compliment.
寻找大型质数的过程中一个 我异常珍视的东西就是 所有时期奉献于这寻找过程中的一些伟大的数学头脑。 这是伟大的瑞士数学家莱昂哈德·欧拉。 在18世纪,其他数学家说过 他根本上是我们所有人的导师。 他是那么得以崇敬,甚至于他的头像都被印在欧洲的货币上, 当时可称之为一种荣誉.
(Laughter)
(笑声)
Euler discovered at the time the world's biggest prime: (2 ^ 31) - 1. It's over two billion. He proved it was prime with nothing more than a quill, ink, paper and his mind.
欧拉发现了那个时候世界上最大的质数: 2的31次方减去1。 这个数超过了20亿。 他证明这个数是质数,只用了 羽毛笔、墨水、纸和他的智慧。
You think that's big. We know that (2 ^ 127) - 1 is a prime number. It's an absolute brute. Look at it here: 39 digits long, proven to be prime in 1876 by a mathematician called Lucas. Word up, L-Dog.
你一定觉得那个数很大。 我们知道2的127次方减去1 是一个质数。 真是叹为观止. 看看这里:39位数这么长, 在1876年被证明了是一个质数 由一位叫做卢卡斯的数学家。 你太厉害了,我的卢卡斯朋友。
(Laughter)
(笑声)
But one of the great things about the search for massive primes, it's not just finding the primes. Sometimes proving another number not to be prime is just as exciting. Lucas again, in 1876, showed us (2 ^ 67) - 1, 21 digits long, was not prime. But he didn't know what the factors were. We knew it was like six, but we didn't know what are the 2 x 3 that multiply together to give us that massive number.
但是搜寻大型质数的众多方面中很重要的一个就是, 它不仅仅是寻找质数, 有时候证明一个数不是质数一样令人兴奋。 还是卢卡斯,在1876年,证明了2的67次方减去1, 一个21位长的数,不是质数。 但是他不知道因子是什么。 我们知道它应该像6 等于2x3那种形式, 但不知是哪两个因子相乘 后得到这个巨大的数字.
We didn't know for almost 40 years until Frank Nelson Cole came along. And at a gathering of prestigious American mathematicians, he walked to the board, took up a piece of chalk, and started writing out the powers of two: two, four, eight, 16 -- come on, join in with me, you know how it goes -- 32, 64, 128, 256, 512, 1,024, 2,048. I'm in geek heaven. We'll stop it there for a second. Frank Nelson Cole did not stop there. He went on and on and calculated 67 powers of two. He took away one and wrote that number on the board. A frisson of excitement went around the room. It got even more exciting when he then wrote down these two large prime numbers in your standard multiplication format -- and for the rest of the hour of his talk Frank Nelson Cole busted that out. He had found the prime factors of (2 ^ 67) - 1. The room went berserk -- (Laughter) -- as Frank Nelson Cole sat down, having delivered the only talk in the history of mathematics with no words. He admitted afterwards it wasn't that hard to do. It took focus. It took dedication. It took him, by his estimate, "three years of Sundays."
我们有几乎40年的时间都不清楚 直到弗兰克·尼尔森·科尔的出现。 在一个著名美国数学家的聚会上, 他走到黑板前,拿起一支粉笔, 开始写2的幂: 2,4,8,16—— 来吧,跟我一起,你们知道它怎么进行下去的—— 32,64,128,256, 512,1024,2048。 我已经置身极客的乐园了。我们先在那打住一会。 但是弗兰克·尼尔森·科尔没在那停下。 他继续写着 然后计算了2的67次方。 他减去了1,再把那个数写在黑板上。 一阵激动的情绪充满了整个屋子。 当他继续写下去的时候,这情绪变得更加亢奋; 他写下了这两个标准相乘形式的巨大的质数—— 在他之后的演讲中 弗兰克·尼尔森·科尔全盘托出。 他发现了 2的67次方减去1的质因子。 整个屋子都疯狂了—— (笑声)—— 当弗兰克·尼尔森·科尔坐下的时候, 他完成了数学历史上仅有的一次 没有语言的演讲。 他后来承认那做起来并不那么难。 那需要专注。那需要付出。 据他估计,那花了他 “3年中的所有星期日”。
But then in the field of mathematics, as in so many of the fields that we've heard from in this TED, the age of the computer goes along and things explode. These are the largest prime numbers we knew decade by decade, each one dwarfing the one before as computers took over and our power to calculate just grew and grew.
但是然后在数学领域, 就像我们从TED中听到的很多其他领域一样, 电脑时代的到来产生了爆炸性的效应。 这些是以十年左右的时间为间隔,我们曾经知道的最大的质数。 每一个数都让前一个数变得渺小。 当电脑占据主导地位之后,我们的运算能力 不断地增强。
This is the largest prime number we knew in 1996, a very emotional year for me. It was the year I left university. I was torn between mathematics and media. It was a tough decision. I loved university. My arts degree was the best nine and a half years of my life.
这是我们在1996年所知道的的最大的质数, 那年对我来说也是感慨良多的一年。 那年我离开了大学。 我在数学和媒体的选择之间受尽折磨。 那是个很难的抉择。我爱大学。 我的艺术学位是我生命中最美好的九年半时光。
(Laughter)
(笑声)
But I came to a realization about my own ability. Put simply, in a room full of randomly selected people, I'm a maths genius. In a roomful of maths Ph.Ds, I'm as dumb as a box of hammers. My skill is not in the mathematics. It is in telling the story of the mathematics.
但是我最终意识到了我自己的能力。 简单来说,在一个聚满了随机选择的人的屋子里, 我是一个数学天才。 而在一个聚满了数学博士的屋子里, 我笨得就像棒槌。 我的强项不是数学。 我的强项是讲述数学故事。
And during that time, since I've left university, these numbers have got bigger and bigger, each one dwarfing the last, until along came this man, Dr. Curtis Cooper, who a few years ago held the record for the largest ever prime, only to see it snatched away by a rival university. And then Curtis Cooper got it back. Not years ago, not months ago, days ago. In an amazing moment of serendipity, I had to send TED a new slide to show you what this guy had done.
在我离开了大学的那段时间里, 这些数变得越来越大, 每一个都让上一个数相形见绌, 直到柯蒂斯·库珀博士的出现, 他在几年之前还保持着古往今来所发现的最大质数的记录, 又眼睁睁地看着这个记录被一对手大学夺走. 然后柯蒂斯·库珀又把它夺了回来。 不是几年前,不是几个月前,而是几天前。 在一个令人惊讶的意外情况下, 我不得不发给TED一个新的幻灯片 来展示这个人做了什么。
I still remember -- (Applause) -- I still remember when it happened. I was doing my breakfast radio show. I looked down on Twitter. There was a tweet: "Adam, have you seen the new largest prime number?" I shivered -- (Laughter) -- contacted the women who produced my radio show out in the other room, and said "Girls, hold the front page. We're not talking politics today. We're not talking sport today. They found another megaprime." The girls just shook their heads, put them in their hands, and let me go my own way.
我依然记得——(掌声)—— 我依然记得那一时刻. 我当时在做我的早间节目. 我低头看了下Twitter。有这样一条消息: “亚当,你看到了新的最大的质数吗?” 我颤抖了—— (笑声)—— 我马上联系隔壁的节目制作人, 说道:“姑娘们,留出头版. 我们今天不谈政治, 也不谈体育, 又有一个巨大的质数被发现了。” 女孩们只是摇着头, 用手捂住头,任由我自己发挥。
It's because of Curtis Cooper that we know, currently the largest prime number we know, is 2 ^ 57,885,161. Don't forget to subtract the one. This number is almost 17 and a half million digits long. If you typed it out on a computer and saved it as a text file, that's 22 meg. For the slightly less geeky of you, think about the Harry Potter novels, okay? This is the first Harry Potter novel. This is all seven Harry Potter novels, because she did tend to faff on a bit near the end. (Laughter) Written out as a book, this number would run the length of the Harry Potter novels and half again. Here's a slide of the first 1,000 digits of this prime. If, when TED had begun, at 11 o'clock on Tuesday, we'd walked out and simply hit one slide every second, it would have taken five hours to show you that number. I was keen to do it, could not convince Bono. That's the way it goes.
因为柯蒂斯·库珀我们知道了, 目前最大的质数 是2的57885161次方。 不要忘了减去1。 这个数几乎有一千七百五十万位数那么长。 如果你把它输入到电脑里再保存成文本文件, 那有22兆字节。 对于你们当中不那么"怪异"的人来说, 想想哈利·波特小说,行吧? 这是第一部哈利·波特小说。 这是所有七部哈利·波特小说, 因为她快写完的时候确实有点喜欢拖泥带水。 (笑声) 写成一本书的时候,这个数会有 所有哈利·波特小说的1.5倍长。 这个幻灯片上有这个质数的前1000位数。 如果,TED在周二的11点开始, 如果简单地一秒钟点击一页幻灯片, 那需要5个小时来展示这个数。 我很热衷这么做,但是无法说服波诺。 这也是没法子的事.
This number is 17 and a half thousand slides long, and we know it is prime as confidently as we know the number seven is prime. That fills me with almost sexual excitement. And who am I kidding when I say almost?
这个数有一万七千五百个幻灯片那么长, 而我们非常肯定地知道它是个质数 就像我们知道数字7是质数一样。 那几乎让我有了性冲动。 当我说'几乎'时, 我到底是在骗谁?
(Laughter)
(笑声)
I know what you're thinking: Adam, we're happy that you're happy, but why should we care? Let me give you just three reasons why this is so beautiful.
我知道你们在想什么: 亚当,你开心我们也很开心。 但是为什么我们要在意这个? 让我给你们三个理由来说明其美妙之处.
First of all, as I explained, to ask a computer "Is that number prime?" to type it in its abbreviated form, and then only about six lines of code is the test for primacy, is a remarkably simple question to ask. It's got a remarkably clear yes/no answer, and just requires phenomenal grunt. Large prime numbers are a great way of testing the speed and accuracy of computer chips.
首先,就像我解释过得一样,去问一台电脑 “那个数是质数吗?”并且输入它的缩略形式, 然后只要六行代码就能测试数字是否为质数, 是一个极其简单的问题, 答案无非是'是'或'否'. 只是需要惊人的计算能力. (搜索)大型质数是测试 电脑芯片速度和准确度的很好的办法。
But secondly, as Curtis Cooper was looking for that monster prime, he wasn't the only guy searching. My laptop at home was looking through four potential candidate primes myself as part of a networked computer hunt around the world for these large numbers. The discovery of that prime is similar to the work people are doing in unraveling RNA sequences, in searching through data from SETI and other astronomical projects. We live in an age where some of the great breakthroughs are not going to happen in the labs or the halls of academia but on laptops, desktops, in the palms of people's hands who are simply helping out for the search.
但是其次,在柯蒂斯·库珀寻找野兽般的质数的时候, 他不是唯一的搜索人. 我家里的笔记本电脑正在测试 四个可能的质数, 我是一个全球性网络 搜寻大型质数的成员. 寻找那些质数类似于 人们解析核糖核酸序列, 以及搜寻地外文明计划和其他天文研究项目. 我们生活的时代是一些重大突破 不会发生在实验室或者学术大厅, 而会发生在笔记本电脑上,台式电脑上, 在那些 帮助这些搜索的人们的手心里。
But for me it's amazing because it's a metaphor for the time in which we live, when human minds and machines can conquer together. We've heard a lot about robots in this TED. We've heard a lot about what they can and can't do. It is true, you can now download onto your smartphone an app that would beat most grandmasters at chess.
但是对我来说这很了不起, 因为它象征着 在我们生活的时代 人脑和机器可以协同去征服难题. 我们在TED里听闻了不少关于机器人的故事. 我们听到了很多他们能做和不能做的事情。 你们现在确实可以下载到一款 能击败大多数国际象棋大师的应用程序到你的智能手机上。
You think that's cool. Here's a machine doing something cool. This is the CubeStormer II. It can take a randomly shuffled Rubik's Cube. Using the power of the smartphone, it can examine the cube and solve the cube in five seconds.
你们认为那很酷。 这有个能做一些很酷的事情的机器。 这是魔方破解者二代。 它可以对付任何一个随机旋转出的鲁比克魔方。 通过智能手机的力量, 它可以检查这个魔方 然后在五秒钟内复原这个魔方。
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That scares some people. That excites me. How lucky are we to live in this age when mind and machine can work together?
那吓坏了一些人,却让我很兴奋。 我们生活在一个 人脑和机器可以协同工作的时代是多么得幸运啊?
I was asked in an interview last year in my capacity as a lower-case "c" celebrity in Australia, "What was your highlight of 2012?" People were expecting me to talk about my beloved Sydney Swans football team. In our beautiful, indigenous sport of Australian football, they won the equivalent of the Super Bowl. I was there. It was the most emotional, exciting day. It wasn't my highlight of 2012. People thought it might have been an interview I'd done on my show. It might have been a politician. It might have been a breakthrough. It might have been a book I read, the arts. No, no, no. It might have been something my two gorgeous daughters had done. No, it wasn't. The highlight of 2012, so clearly, was the discovery of the Higgs boson. Give it up for the fundamental particle that bequeaths all other fundamental particles their mass.
我去年参加了一个访谈, 作为在澳大利亚一个并不真正非常知名的名人,我被问道: “我在2012年最难忘的时刻是什么?” 人们希望我谈论 我深爱的悉尼天鹅澳式足球队。 在我们美丽的、本土的澳式足球中, 他们获得了类似于美式足球冠军的成就。 我当时就在现场。那是非常激动兴奋的一天。 但它不是我2012年最难忘的时刻。 人们认为也许是我做的一个名人采访, 也许是一个政治家,或是一项重大突破; 也许是我读过的一本书,或者艺术之类的东西。不不不。 也许是我两个美丽的女儿所做过的一些事情。 不,不是。我2012年最难忘的时刻,十分明确, 就是希格斯玻色子的发现。 请为这个 赋予了所有其他基本粒子质量的基本粒子送上掌声。
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And what was so gorgeous about this discovery was 50 years ago Peter Higgs and his team considered one of the deepest of all questions: How is it that the things that make us up have no mass? I've clearly got mass. Where does it come from? And he postulated a suggestion that there's this infinite, incredibly small field stretching throughout the universe, and as other particles go through those particles and interact, that's where they get their mass. The rest of the scientific community said, "Great idea, Higgsy. We've got no idea if we could ever prove it. It's beyond our reach." And within just 50 years, in his lifetime, with him sitting in the audience, we had designed the greatest machine ever to prove this incredible idea that originated just in a human mind.
并且这个发现的美妙之处在于 50年前皮特·希格斯和他的团队 考虑的最深奥问题之一: 如果组成我们的元素没有质量会怎么样? 我显然是有质量的。它来自哪里? 于是他假设 存在这个无限的、极其微小的、 贯穿宇宙的场, 然后当其他粒子通过这些粒子 并且发生作用,就使他们获得了质量。 科学界的其他人说道: “不错的设想,希格斯。 但我们不知道能否证明它。 它超越了我们的能力范围。” 可是就在50年内, 在他的有生之年,在他坐在观众席里的时候, 我们设计出了有史以来最伟大的机器 来证明这个 起源于人脑的难以置信的想法。
That's what is so exciting for me about this prime number. We thought it might be there, and we went and found it. That is the essence of being human. That is what we are all about. Or as my friend Descartes might put it, we think, therefore we are.
这就是为什么质数搜索让我如此兴奋: 我们认为它可能存在, 然后我们去尝试,再发现它。 那就是人的本质。 那就是我们存在的意义。 或者像我的朋友笛卡尔描述的那样, 我思, 故我在。
Thank you.
谢谢。
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