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那些让你彻夜难眠的烧脑悖论

那些让你彻夜难眠的烧脑悖论

那些让你彻夜难眠的烧脑悖论

发布于 2026-05-14 · 时长 13:42

字幕摘录

时间英文中文
0:00So, let's say you're sitting at home, and you're bored, because let's say it's所以,让我们假设你坐在家里, 你无聊,因为让我们假设它是
0:041977 and there's no such thing as the internet or smartphones, looking for something to do1977年,没有 互联网或智能手机,寻找的东西
0:09to entertain yourself, you suddenly remember that heap of sand that's in the corner of为了娱乐自己,你突然想起 一堆沙子在角落里
0:12your living room.你的客厅。
0:13I mean, everyone's got one of those.我的意思是,每个人都有一个这样的。
0:15So you decide you're gonna relocate the heap of sand to another part of the living所以你决定把沙子堆搬到另一个地方
0:19room.房间
0:20Except, just to make it fun, you decide to move the heap one grain at a time.只不过,为了取乐,你决定一次搬一粒
0:24Why would you do such a thing?你为什么要这么做?
0:26Well kids, because the one thing they did have in the 70s were drugs.孩子们,因为70年代他们唯一有的是毒品
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1So, let's say you're sitting at home, and you're bored, because let's say it's所以,让我们假设你坐在家里, 你无聊,因为让我们假设它是
21977 and there's no such thing as the internet or smartphones, looking for something to do1977年,没有 互联网或智能手机,寻找的东西
3to entertain yourself, you suddenly remember that heap of sand that's in the corner of为了娱乐自己,你突然想起 一堆沙子在角落里
4your living room.你的客厅。
5I mean, everyone's got one of those.我的意思是,每个人都有一个这样的。
6So you decide you're gonna relocate the heap of sand to another part of the living所以你决定把沙子堆搬到另一个地方
7room.房间
8Except, just to make it fun, you decide to move the heap one grain at a time.只不过,为了取乐,你决定一次搬一粒
9Why would you do such a thing?你为什么要这么做?
10Well kids, because the one thing they did have in the 70s were drugs.孩子们,因为70年代他们唯一有的是毒品
11Really really good drugs.非常棒的药物。
12So as you're moving the sand, grain by grain, a thought occurs to you.所以,当你移动沙子,谷粒逐粒, 你有一个想法。
13At what point does the heap of sand not become a heap anymore?沙子堆积何时不再堆积起来?
14Obviously, if you move one grain, it's still a heap.显然,如果你移动一个谷物, 它仍然是堆积。
15Same thing with two or three.和两三个一样
16But what about a hundred?那一百块呢?
17A thousand?一千块?
18And once it's not a heap anymore, what exactly is it, besides a big mess on your floor that一旦它不再堆积, 到底是什么, 除了一个大乱 在你的地板上,
19you're gonna have to clean up later?你待会要清理吗?
20The Sorority's Paradox is all about the vagueness of language.联谊会的Paradox 完全涉及到语言的模糊性.
21Because the word heap doesn't have a specific quantity assigned to it, the nature of a heap因为"堆"字没有指定具体数量 堆的性质
22is subjective.是主观的。
23It also leads to false premises.这也会导致虚假的前提。
24For example, if you try the paradox in reverse, you start with a single grain of sand, which例如,如果你逆向尝试这个悖论,你首先要用一粒沙子,它
25is not a heap.这不是一个堆。
26Then you could argue that one grain of sand plus another grain of sand is also not a heap.你可以说一粒沙子加另一粒沙子 也不是一堆
27Then two grains of sand plus another grain of sand is also not a heap.那么两粒沙子加上另一粒沙子 也不是一堆
28This continues until the statement, a quadrabagillion grains of sand is not a heap, which as we这一直持续到声明, 四千亿颗沙粒 不是一个堆积, 而我们
29know, does not make sense.你知道,没有道理。
30Of course, moving a pile of sand from one part of the floor to another part doesn't当然,把一叠沙子从地板上移到另一部分不会
31make a lot of sense either.也说得通
32This experience teaches us two things.这种经历教会了我们两件事。
33First, language can be subjective and may have a different meaning from person to person.首先,语言可以是主观的,可能具有不同的人与人不同的含义.
34And secondly, don't do drugs, kids, especially in the 70s.第二,不要吸毒,孩子, 特别是70年代。
35But what you should do is subscribe.但你应该签个名
36The Hangman's Paradox.杭人经论.
37Let's say you're making a cross-country trip, and you get caught speeding in one of假设你在越野旅行 你会在其中之一被抓到超速
38those small towns in the south.那些小镇在南方。
39You go before a judge that has a reputation of being one of the toughest judges around,你去找一个有名望的法官 做最严厉的法官
40but you're not too worried.但你并不太担心
41After all, you were just going seven over the speed limit.毕竟你刚刚突破了七点
42How bad could the punishment be?惩罚会有多严重?
43And then the judge sentences you to death.然后法官判你死刑
44Not only that, he's kind of a d*** about it.不仅如此,他还挺喜欢的
45He tells you that the hanging will take place at noon on one weekday in the following week,他告诉你,绞刑将在中午进行 在下周的一个工作日,
46but that the execution will be a surprise.但处决将是一个惊喜。
47You won't know the day of the hanging until the executioner knocks on the cell door at在行刑者敲门之前 你不会知道绞刑的日子
48noon that day.当日午.
49The more you think about it, you realize two things.你越想越意识到两件事
50First, that's a terrible surprise.首先,这是一个可怕的惊喜。
51The second thing that occurs to you is they're not really going to hang you.第二件事情发生在你身上 他们不会真的吊死你
52You've thought about it logically, and here's why you came to that conclusion.你从逻辑上考虑过,这就是你为什么得出这个结论。
53You begin by concluding that the surprise hanging can't be on Friday, because if he首先你得出结论, 惊喜绞刑不能在星期五, 因为如果他
54hasn't hanged you by Thursday, there's only one day left.星期四之前还没有吊死你 只剩一天了
55And so it won't be a surprise if you're hanging on Friday.所以如果你在周五挂电话 就不会有惊喜了
56You then reason that the surprise hanging can't be on Thursday either, because Friday那你为什么不能在周四上吊 因为周五
57has already been eliminated.已经删除。
58And if you haven't been hanging by Wednesday noon, the hanging must occur on Thursday,如果你星期三中午之前还没有挂过 挂在周四
59making a Thursday hanging not a surprise either.星期四挂也没什么大不了的
60And with the same reasoning, you conclude that the hanging can't also occur on Wednesday,同样的推理,你认为 绞刑不能 发生在星期三,
61Tuesday, or Monday.周二,还是周一
62And joyfully, you retire to your cell, confident that the hanging will not occur at all.很高兴你回到你的牢房 相信绞刑不会发生
63The next week, the executioner knocks on your door at noon on Wednesday, which, despite次周三中午 刽子手敲敲你的门 尽管
64all the above, was an utter surprise to you.所有以上, 是一个完全的惊喜给你。
65Everything the judge said came true.法官说的一切都成真了
66Hopefully this taught you a couple things.希望这能教你几件事
67First, no matter how smart you think you are, and I know you're smart because you're首先,不管你有多聪明 我知道你很聪明,因为你
68watching my videos, there's always something you didn't see coming.看我的视频,总有你没看到的东西
69And the second takeaway?第二件外卖呢?
70Stay out of the south.远离南方.
71If you absolutely have to drive through there, go to the speed limit.如果你绝对需要通过那里, 去速度限制。
72The teleportation paradox.电传传送悖论.
73Speaking of Star Trek, let's talk about teleportation for a minute.说到"星际迷航",我们谈一下电传传送
74We've all seen it.我们都看过了
75Maybe you're not old enough for Star Trek, but you've seen it used in X-Men Days of也许你还不足以适应"星际迷航" 但你已经看到它在X战时
76Future Past, or Rick and Morty.未来过去 或者里克和莫蒂
77Go to the show, by the way.顺便说一句 去表演吧
78If anyone wants to talk Rick and Morty, join my Discord, link in description.如果有人想和Rick和Morty谈谈 加入我的Discord 联系的描述
79But while you're sitting there, dipping your chicken nuggets in Szechuan sauce, did但当你坐在那里, 将你的鸡块 浸在司川酱汁中,
80you ever think about what exactly happened when you teleport?你有没有想过 到底发生了什么 当你的电信?
81One minute, you're standing on the Enterprise and wondering why you chose to wear your red一分钟,你站在进取号上 想知道为什么你选择穿你的红色
82uniform shirt.制服衬衫。
83And the next minute, you're on a strange planet fighting a losing battle with a six-headed接下来的一分钟,你在一个陌生的星球上 与一场六头的战役
84space monster.太空怪兽。
85But how did it happen?但怎么会这样?
86There was a version of you that disappeared, and then in the blink of an eye, you were有你的一个版本消失了, 然后在眨眼,你是
87completely rebuilt and appeared in a new location.完全重建,并出现在一个新的地点。
88But is the new version really you?但新版本真的是你吗?
89After all, your old self was just completely destroyed and nothing was left.毕竟,你的旧自我 刚刚完全毁灭了,什么都没有了。
90Is the new version the same, or, like the sequel to hit movie Finding Nemo, known as新版本是一样的, 还是,像续集 点击电影寻找尼莫, 被称为
91Finding Dory, is the new version just not quite the same?找到多莉,新版本是不是不太一样?
92And even if the new version is constructed the exact same way, is your soul really still即使新版本的构造完全一样, 你的灵魂真的仍然
93intact?完好无损?
94In other words, if it's even still you, is it really you?换句话说,如果它仍然是你, 它真的是你吗?
95I mean, you're made up of all the same stuff, but you're not made up of the exact same我的意思是,你是由所有相同的东西组成, 但你不是由完全相同的
96stuff, if that makes any sense at all.如果这有什么意义的话
97The Crocodile Paradox鳄鱼悖论
98This one comes from the 16th century and actually helped shape the language.这个来自16世纪,实际上帮助塑造了语言.
99Imagine there's a mother who's out for a nice walk with her small child.想象一下有一个母亲 出去和她的孩子散步
100All of a sudden, a crocodile appears and snatches the child.突然间,鳄鱼出现 抢走了孩子。
101The woman, who's seeing her hopes of being named Renaissance Mother of the Year go up看见她被封为文艺复兴之母的希望的女人 升起来了
102pleads with the crocodile to return the child.恳求鳄鱼还孩子
103In an unexpected twist, the crocodile not only understands her, it proposes a deal.鳄鱼不仅能理解她 而且还能提出交易
104He'll only return the child safely if the mother can correctly guess whether or not只有母亲能正确猜到他是否安全地把孩子送回去
105he will indeed return the boy.他一定会把孩子送回去的
106So if the mother guesses that the crocodile will return him, if she's right, he's returned.所以如果母亲猜到鳄鱼会还他,如果她是对的,他就还他.
107If she's wrong, the crocodile keeps him.如果她错了,鳄鱼会把他带走
108Are you starting to see the problem here?你开始看到这里的问题了吗?
109I mean, a problem other than the fact that she appears to be a really bad mom.我是说,除了她看起来是个很坏的妈妈之外 还有个问题
110But if she correctly guesses that the crocodile never intended to return the child, and that但如果她猜对了 鳄鱼从来就不打算把孩子还回去
111indeed was the croc's intention, then the crocodile has to return the child.鳄鱼的用意确实如此, 那么鳄鱼必须把孩子送回去。
112But in doing so, breaks his word and contradicts the mother's answer.但是在这样做的时候,违背了他的话,与母亲的回答相矛盾.
113On the other hand, if she's wrong and the crocodile actually did intend to return the另一方面 如果她错了 鳄鱼真的想还我
114boy, the crocodile must then keep him, even though he intended not to, thereby also breaking孩子,鳄鱼必须留下他, 尽管他不想,所以也打破了
115his word.他的话
116This conundrum made such an impression on the people in the Middle Ages that they came这个难题给中世纪的人们留下了这样的印象 他们来了
117up with the word Crocodillite to describe a dilemma where you admit something that's用"鳄鱼"这个词来形容一个进退两难的局面 你承认了什么
118later used against you.后来用来对付你
119That's one big reason that, to this day, police still employ the tactic of good croc,这是一个大的原因,直到今天, 警察仍然使用好鳄鱼的战术,
120bad croc when trying to get a confession out of a suspect.坏鳄鱼试图从嫌疑人口供。
121The hot dog paradox.热狗悖论.
122Okay, being real, this one isn't so much of a paradox as it is a question you and your好吧,这是真实的, 这个不是太多的矛盾 因为它是一个问题你和你的
123stone buddies would ask each other in your dorm room at 3am, right after you spent an凌晨3点的宿舍里 石友们会互相问
124hour debating which orange came first, the color or the fruit.讨论哪个橘子先来的 颜色还是水果
125The question is, is a hot dog a sandwich?问题是,热狗是三明治吗?
126Well, first of all, because I know there are some nitpickers out there, a hot dog is嗯,首先,因为我知道有一些 硝选手在那里,热狗是
127technically just a meat tube.技术上说只是一个肉管。
128The real question would be, is a hot dog on some sort of bread a sandwich?真正的问题是 面包上的热狗是三明治吗?
129Notice no one ever asks the real question everyone wants to know.注意,从来没有人问 真正的问题 每个人都想知道。
130What the hell is actually in a hot dog?热狗里到底有什么?
131As far as the sandwich thing goes, it turns out there is an answer.至于三明治的事情, 它发现有一个答案。
132According to the leading hot dog maker in the world, Oscar Meyer, and the Merriam-Webster根据世界知名热狗制作人奥斯卡·迈耶(Oscar Meyer)和梅里亚姆-韦伯斯特的介绍
133Dictionary, yeah, a hot dog is a sandwich.词典 对 热狗是三明治
134But is it really that simple?但真的这么简单吗?
135Surely no one could argue with those authorities, right?肯定没有人能和当局争辩 对吧?
136Well, say hello to the National Hot Dog and Sausage Council, which I swear to God is a好吧,打个招呼 国家热狗和香肠理事会, 我向上帝发誓,这是一个
137real organization.真正的组织。
138Those killjoys over the NHDSC say definitively that a hot dog is not a sandwich.那些在NHDSC上的杀人狂欢者 肯定地说热狗不是三明治
139They issued a press release and everything, as well as having an entire page of their他们发表了一份新闻稿和所有文件, 并有整整一页他们
140website devoted to explaining their position.专门解释其立场的网站。
141They list 12 reasons to back up their stance, but we're not listening to them all over他们列出12个理由支持他们的立场 但我们没有在听
142here.在这里。
143Get over here and read them if you want, but I figure most of you have watching videos如果你愿意,过来看,但我想你们大部分人看的视频
144on YouTube time, but not listening to 12 mostly dumb reasons why a hot dog is not a在YouTube时间,但不听 12 个大多是愚蠢的理由,为什么热狗不是一个
145sandwich kind of time.三明治之类的时间。
146Anyway, the experience machine.无论如何,经验机器。
147Here's a fun one, let's say you could plug into a machine that would give you any这是一个有趣的一个,让我们假设 你可以插进一个机器 会给你任何
148experience you desired.经历你想要的。
149Super duper neuropsychologists could simulate your brain so that you would think and feel超级神经心理学家可以模拟你的大脑 这样你就能思考和感受
150that you were writing a great novel, making a friend, or reading an interesting book.你写了本很棒的小说 交朋友 或者读一本有趣的书
151Think of it like entering the matrix voluntarily.就像自愿进入矩阵一样
152You're just floating in a tank with electrolytes attached, but because you're pre-programmed你只是漂浮在一个有电解质的油箱里, 但是因为你被预先编程了
153feels like you're out there racing at Daytona, climbing Mount Everest, or reading a great感觉就像你在戴托纳赛车 攀登珠穆朗玛峰 或者读到一个伟大的
154book with Sydney Sweeney.与悉尼・斯威尼的书。
155Because we live in a universe with no apparent purpose, and because our lives are often因为我们生活在一个没有明显目的的宇宙里 因为我们的生活常常
156characterized by less than ideal conditions like working, suffering, and being a Jets fan,其特点是工作、痛苦和喷气机爱好者等条件不理想,
157we have no good reason to not opt for something substantially better, even if it's quote我们没有很好的理由不选择 更好的东西,即使它引用
158unquote artificial.未引文为人工。
159But what about human dignity?但人的尊严呢?
160What about satisfying our true desires?满足我们真正的欲望怎么样?
161Do those things matter as much as fulfilling every desire you have?那些东西和你的所有愿望一样重要吗?
162This question has been debated by philosophers for centuries, but in fairness, most of those数世纪以来,哲学家一直在辩论这个问题,但公平地说,这些问题大多是:
163debates happened before Sydney Sweeney was born.争论发生在悉尼·斯威尼出生之前.
164Just saying.只是说说而已
165The free will paradox.自由意志悖论.
166Let's talk about free will.谈自由意志.
167We all have it, right?我们都有,对吧?
168I mean, for the most part.我的意思是,大部分时间。
169Like, if you've been married 30 years and it's Valentine's Day, you'd better be喜欢,如果你已经结婚30年 而这是情人节, 你最好
170giving her some flowers.给她一些花。
171It's still your free will in play.它仍然是你玩耍的自由意志。
172After all, you chose to send her those flowers, just like you chose not to sleep on the couch毕竟你选择送花给她 就像你选择不睡沙发
173for a week.一个星期。
174But is free will really an illusion?但自由意志真的是一种幻觉吗?
175The argument is there's no such thing as free will because every thought and every论点是,没有自由意志,因为每一个想法和每一个
176decision is influenced by some sort of environmental event.决策受到某种环境事件的影响。
177Don't believe me?不相信我吗?
178Okay, try this.好吧,试试这个。
179If free will is real and it's based on your thought process, tell me what your next thought如果自由意志是真实的,它是基于你的思考过程, 告诉我接下来你的想法
180will be.将会是。
181Are you thinking about how to prove free will is real?你想证明自由意志是真实的吗?
182If you are, you're doing it in response to my question.如果你是,你这样做 回答我的问题。
183Now, are you thinking about how you'd like to reach through your phone and rip my esophagus现在,你在想什么 你想如何联系 通过你的电话,撕我的食道
184out?出来?
185Well, that's just another example of…嗯,这只是另一个例子...
186You know what?你知道吗?
187I think you get it.我想你会明白的
188Let's move on.让我们继续前进。
189The card paradox.卡片悖论.
190Here's one to try the next time you're at a party, if you never want to be invited如果你不想被邀请的话,下次你来参加派对,就试试看
191to another party.到另一个政党。
192Take an index card and write, the statement on the other side of this card is true.取索引卡后写出,此卡的另一边的语句是真实的.
193We'll call that statement A.我们把声明叫做A
194Turn the card over, and the opposite side reads, the statement on the other side of将牌翻过来,反面读到,对面的语句
195this card is false.这张卡是假的
196Trying to assign any truth to either statement A or B, however, leads to a paradox.然而,试图将任何事实分配给声明A或B,导致矛盾。
197If A is true, then B must be as well.如果A是真的,那么B也必须是。
198But for B to be true, A has to be false.但B要是真的,A必须是假的。
199And oppositely, if A is false, then B must be false too, which ultimately makes A true.相反,如果A是虚假的,那么B必须是虚假的,这最终使A是真实的.
200Sit back and watch the fun as everyone at the party becomes increasingly annoyed.当派对上的每个人都越来越烦恼时,
201And pretty soon, people start asking other questions, including but not limited to,很快,人们开始问其他问题, 包括但不限于,
202who invited this guy?谁邀请这家伙来的?
203And why did he bring an index card and not beer like a normal human being?他为什么带了指数卡 而不是像普通人一样的啤酒?
204Would it be morally correct to rip out his esophagus?拔掉他的食道在道德上是正确的吗?
205All very valid questions.所有非常有道理的问题
206And here's my favorite paradox of all time.这是我最爱的悖论
207Unlike many others which have been around for centuries and have been pondered by some与许多其他的不同的是,这些东西在几个世纪左右,被一些人思考过。
208of the best minds around, this one was dreamed up in this century and has been pondered mainly在这个世纪里,这首歌是梦寐以求的 并且主要被人们思考
209{\fn华文楷体\fs16\1cHE0E0E0}在TikTok上
210This is the Rick Astley Paradox.这是里克・阿斯特利・帕拉多克斯。
211According to Rick's 1987 smash hit, Never Gonna Give You Up, he will never give you根据Rick1987年的打击 永不放弃你
212up and he will never let you down.他不会让你失望的
213But let's say your dog just chewed up the DVD of your favorite movie, the 2009 Pixar这么说吧 你的狗刚刚嚼了 你最喜欢的电影的DVD 2009年皮克斯
214经典 Up.
215No problem, since your friend Rick Astley is also a huge Pixar fan.没问题,因为你的朋友Rick Astley 也是一个巨大的皮克斯迷。
216And you know for a fact he has a copy of the movie.你知道他有电影的拷贝
217But because he's Rick Astley, it's the director's cut, with tons of deleted scenes, commentary但是因为他是瑞克·阿斯特利,这是导演的剪辑,有数吨删掉的场景,评论
218from the cast, and all kinds of extras.从铸物和各种额外物。
219That's when Rick tells you that he can't give you up.这时瑞克告诉你他不能放弃你.
220After all, it's right there in the title of the song.毕竟,这首歌的题目就在那里.
221But because you had your heart set on watching your favorite movie, and because he won't但是因为你的心在看着你最喜欢的电影 因为他不会
222part with his copy, he has indeed let you down.他确实让你失望了
223Rick is sad and struggles to process this information.里克很伤心,并努力处理这个信息.
224His eye begins to twitch, his lips move but no words come out, until ultimately his head他的眼睛开始抽搐 他的嘴唇动了 但没有字迹出来 直到最后他的头
225explodes and he collapses.爆炸,他崩溃。
226Great paradox, right?伟大的悖论,对不对?
227The Foreigner Paradox.异类帕拉多克斯.
228This is a variation of the Ship Atheist Paradox, where you gradually replace a ship's boards这是无神论者派拉多克斯号的变体 在那里你逐渐更换了船板
229one by one, until eventually the ship has been completely rebuilt with all new boards.一个接一个,直到最终这艘船被完全重建,所有的新板.
230The question becomes, is it the same ship?问题是,是同一艘船吗?
231But since nobody builds ships out of wood anymore, let's talk about classic rock bands.但是既然没有人用木头造船了 我们来谈谈经典摇滚乐队吧
232尤其是乐队Francer.
233They sold over 80 million records in the 70s and 80s with hits like Cold as Ice and他们卖了超过8000万张唱片 在70和80年代 有点击率 像冷如冰和
234Waiting for a Girl Like You.等着像你这样的女孩
235But time is undefeated, and some members have gone through that big jukebox in the sky,但时间是没有落空的, 和一些会员已经走过 大点唱机在天空,
236while others decided that 50 years on the road is enough.而其他人则认为在路上待50年就够了。
237Here's the paradox.这就是悖论。
238Mick Jones was the last original member, and he stopped touring in 2023.米克·琼斯是最后一位原创成员,他于2023年停止巡回演出.
239But Foreigner still tours, and they'll be out again this year.但外人仍然在巡演,他们今年会再次出场.
240So what band are we seeing?我们看的是哪个乐队?
241With no original members remaining, aren't we really just seeing a Foreigner cover band没有原创成员留下,我们真的 刚刚看到一个外国封面乐队
242with great marketing?和伟大的营销?
243So you're Achilles, the greatest runner in Greece.你是阿基里斯,希腊最伟大的跑者
244You're Jack, you have a bad helo problem, but let's set that aside for now.你是杰克,你有一个糟糕的 直升机问题,但让我们暂时搁置。
245As one does, it appears you've decided to race a tortoise.似乎你决定要骑乌龟了
246Yeah, you're going up against a turtle.是啊,你要去对付一只乌龟。
247What's that?这是什么?
248Turtles aren't the same as tortoises, you say?你说乌龟和乌龟不一样?
249Guess we don't need this guy anymore.看来我们不再需要这家伙了
250Look what you've done.看看你做了什麽。
251So you challenge this turtle because you enjoy winning and like the simple victories.所以你挑战这只乌龟 因为你喜欢胜利 就像简单的胜利
252But here's the fun part.但这里的乐趣部分。
253You let the tortoise have a small head start, just to make it more exciting.你让乌龟有一个小头开始, 只是让它更刺激。
254Well, plot twist.嗯,情节扭曲。
255This dude named Zeno is convinced that this race will go on forever.这个叫泽诺的家伙相信这场比赛会永远继续下去.
256Yep.对
257Okay, here's how it goes.好,这样吧
258Once the race starts, each time Achilles gets to where the tortoise was,一旦比赛开始 每次阿基里斯到达乌龟所在的地方
259the tortoises move just a little bit ahead.龟在前方移动
260When Achilles arrives at that new place, the tortoise has already moved forwards again.阿喀琉斯到达新地方后,乌龟已经再次前进.
261The gap is getting smaller and smaller, but Zeno says it'll never actually reach zero.差距越来越小,但泽诺表示实际上永远不会达到零.
262Meaning Achilles is destined to always chase the tortoise but will never be able to catch him.意思是阿喀琉斯注定永远追逐乌龟 但永远无法捉住他
263In reality, that would make no sense.在现实中,这是没有道理的。
264Achilles would easily overtake the tortoise in like two seconds.阿喀琉斯在两秒钟内就很容易超过乌龟
265But in the slightly cooler Zeno's paradox, Achilles finds himself stuck in a never-ending但是在比较酷的泽诺悖论中 阿基里斯发现自己陷入了永无止境
266cycle of fractions.分数周期。
267I hopefully don't need to explain to you that realistically you can travel distances.我希望不用跟你解释 你可以走远路
268But at the same time, can you think of an explanation for why the paradox doesn't affect us?但与此同时,你能想到一个解释,为什么悖论不会影响我们?
269The paradox of omnipotence.无所不包的悖论.
270You're a powerful, wise being, and everything's going well.你是一个强大的,明智的人, 一切都很好。
271You can create worlds, split oceans, and still find time for a heavenly rest.你可以创造世界, 分裂海洋, 和仍然找到时间 一个天堂休息。
272One day, in Philosophy 101, someone asks,有一天,在哲学101中 有人问,
273Hey, Almighty One, can you make a rock so heavy that even you can't lift it?嘿,万能的,你好吗? 一,你能把石头弄得那么重,连你都抬不起来吗?
274Yikes.哎哟
275Out of nowhere, you, the most powerful being in the universe,不知何故 你 宇宙中最强大的人
276find yourself trapped in a never-ending logic loop.发现自己被困在永无止境的逻辑循环中.
277If you create the rock, you won't be able to lift it.若造岩则不能举.
278Which shows there's something beyond your reach.这说明有些事情你无法达到
279But if you really can't make it, then there's something you won't be able to do.但是,如果你真的不能做到这一点, 那么有一些事情,你将无法做到。
280Nobody's gonna win.没人会赢的
281So, option one, you make the rock and struggle to lift it.所以,选择一,你使 石头和挣扎抬起它。
282Let's say you move forward to make that happen.假设你为了实现这个目标而前进
283The perfect stone.完美的石头。
284It's so heavy and big that not even your incredible, endless strength can lift it up.它是如此的沉重和大 连你不可思议的,无尽的力量都无法提升它。
285The rock is the winner.岩为胜.
286Meaning there's something you couldn't do.意思是有些事情你不能做
287Lift it up.举起来
288Your all-powerful credit card?你的全能信用卡吗?
289Canceled.现已取消。
290Your resume?你的履历?
291Gotta update it.必须更新它。
292Get back home, LinkedIn.回家去吧 连线网
293Option two is you can't make the rock.第二,你无法造石头
294Okay, so maybe you see that the first choice is a trick and you think,好吧,所以也许你看到 第一个选择是一个诡计,你认为,
295huh, I'll find a clever way to answer this question.我会想办法回答这个问题的
296I just won't make the rock.我只是不会做石头。
297Awesome, isn't it?真棒,不是吗?
298Wrong.错.
299If you can't manage to move this rock, then there's something you're unable to do.如果你无法移动这块岩石, 那么有些事情你无法做。
300You're supposed to be all-powerful, so where's all the power?你应该全能的,所以所有的力量呢?
301Or you just make it and lift it as well.或者你只是把它和抬起来。
302But that would again be a task you couldn't fulfill.但这又是你无法完成的任务
303It's just an endless loop and a very confusing one.这只是一个无尽的循环 和非常混乱的循环。
304Anyway, if you made it to the end, subscribe.总之,如果你走到最后, 订阅。
305And click this video over here for more.点击这段录像,再多点。
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