艾姆斯窗错觉:为何我们所见并非真实? veritasium 2020-12-31

艾姆斯窗错觉初探

我将通过这个窗户,把自己变成一个视错觉。

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I am going to turn myself into an optical illusion by going through this window right here.

好的,我没事……哦,不,我不好。

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Okay, I'm good, oh, not good. I was gonna say I'm good, I'm not good.

好的,你正在看着这个窗户,它看起来像是在旋转,但在这里它停了下来。

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Okay, so you're looking at this window and it looks like it's turning around, except here it stops.

现在我继续旋转,但窗户却穿过了我。

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Now I keep rotating, but the window is rotating through me.

这到底是怎么回事?

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What is happening?

让我先退一步。

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Let me backup for a second.

这是三部分错觉的第一部分。

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This is the first part of a three part illusion.

你看到了什么?

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What do you see?

嗯,有一个窗户正在转动,但它停下来并反转了方向。

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Well, there's a window and it's turning, except it stops and reverses direction.

所以窗户在来回摆动。

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So the window is oscillating back and forth.

这就是大多数人看到这个错觉时的感受,但窗户实际上并非如此。

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That's what most people see when they look at this illusion except that's not what the window's actually doing.

它在一个转盘上,并且正在持续旋转。

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It's on this turntable and it is rotating continuously.

这就是著名的艾姆斯窗错觉(Adelbert Ames: 一位美国科学家,以其在视觉感知方面的研究而闻名)。

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This is known as the Ames window illusion.

我是在一个名为《好奇心秀》(Curiosity Show)的澳大利亚老电视节目中看到它的,我对此感到好奇。

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And I saw it on an old Australian TV program called the Curiosity Show. And I was curious.

所以在这个视频中,我将比以往任何人都更深入地探究这个错觉。

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So in this video, I'm gonna dig deeper into this illusion than anyone has before.

错觉的机制与大脑的偏好

你知道,窗户本身并不是一个矩形,而是一个梯形(trapezoid: 一种只有一组对边平行的四边形)。

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You know the window itself is not a rectangle, but a trapezoid.

你可以看到这边比那边短得多。

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You can see this side here is much shorter than this side over here.

这对于错觉至关重要。

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And that is essential to the illusion.

同样重要的是,它被阴影化以使其看起来是三维的,但它实际上只是一张二维卡片,两面都有相同的图像。

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Also essential, it is shaded to make it look 3-D, but it's actually just a two dimensional card with the same image on both sides.

那么现在你已经确切地知道这个物体是什么样子以及它在做什么,你还能正确地感知到它的旋转而不是摆动吗?

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So now that you know exactly what this object looks like and what it's doing, can you correctly perceive the rotation rather than the oscillation?

我仍然不能。

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I still can't.

在我的大脑看来,这个窗户仍然在来回摆动。

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It still looks to my brain like this window is going back and forth.

好的,我有个主意。

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Okay, here's an idea.

我将把这个魔方(Rubik's Cube: 一种智力玩具)连接到梯形的短边,这样我们就可以在它旋转时跟踪它。

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I'm going to attach this Rubik's Cube to the short side of the trapezoid so we can keep track of it as it goes around.

你准备好了吗?

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Are you ready?

好的。

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Okay.

魔方正在旋转。

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Okay, the Rubik's Cube is going around.

一切看起来都很正常。

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Everything seems normal.

但现在那是什么?

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But now what is that?

魔方看起来还在继续旋转,但窗户却在来回摆动。

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It looks like the Rubik's Cube is continuing to go around, but the window is oscillating back and forth.

魔方从后面过去了。

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There it goes, the Rubik's Cube around the back.

我甚至不知道发生了什么。

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I don't even know what's happening.

哇,看那个。

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Whoa, look at that.

魔方看起来像是在整个错觉的前面独自漂移。

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It looks like the Rubik's Cube is out drifting by itself out in front of the whole illusion.

这到底是怎么回事?

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What is happening?

好的,新计划,我将取下魔方,然后把一把尺子穿过窗户的中间。

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Okay new plan, I'm going to take off the Rubik's Cube and I'm gonna put a ruler right through the middle of the window.

这样我们就不可能被错觉愚弄了,对吧?

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And so we can't possibly be fooled by the illusion, right?

好的,我们开始。

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Okay, here we go.

好的,尺子正在旋转,但等等,现在窗户在向后转,哇,哇!

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Okay, the ruler is rotating around, but wait now the window is going backwards whoa, whoa!

尺子穿过了窗户。

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The ruler is going through the window.

它正在做一些我知道物理上不可能的事情,但我的大脑就是这样看待它的。

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It is doing things which I know are physically impossible but that is how my brain is seeing it.

看,我们再来一次。

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Look, here we go again.

尺子和窗户一起旋转,但就在这里,窗户开始向后转,但尺子却继续前进。

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The ruler is turning around with the window but right about here the windows starts going backwards but the ruler keeps coming.

这到底是怎么回事,这怎么可能?

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What is even like, how is this possible?

这没有任何意义。

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This doesn't make any sense.

但这就是我的大脑解释它的方式。

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But that is the way my brain interprets this.

它显然更喜欢错觉,而不是看到真正发生的事情——持续的旋转。

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It clearly prefers the illusion over seeing what's really happening, the continuous rotation.

“木工环境假说”与文化差异

那么这是为什么呢?

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So why is this, how does the illusion work?

这个错觉是由阿德尔伯特·艾姆斯(Adelbert Ames)在1947年创造的。

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Well, it was created by Adelbert Ames back in 1947.

在成为研究员之前,他想成为一名视觉艺术家。

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And before becoming a researcher, he wanted to be a visual artist.

所以他对人们如何感知形状和阴影非常着迷。

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So he was fascinated by how people perceive shapes and shading.

据他所说,这个错觉的关键在于我们都习惯于生活在本质上是矩形的盒子中。

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And according to him, the key to this illusion is that we're all used to living in rectangular boxes, essentially.

你知道,房屋和房间里我们看到的几乎所有角落都是90度角。

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You know houses and rooms where virtually all of the corners we see are 90 degree angles.

门、窗户、桌子和椅子都充满了90度角。

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Doors, windows, tables and chairs are full of 90 degree angles.

这被称为木工环境(carpentered environment: 指人类居住环境中普遍存在的直角和矩形结构)。

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This is called the carpentered environment.

但是,除非我们正对着某个物体看,否则我们实际看到的角度都不是90度。

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But unless we're looking straight on at something, the angles we actually see are not 90 degrees.

我的意思是,在我们视网膜上形成的图像通常是不同形状和大小的梯形。

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I mean, the images that form on our retinas are typically trapezoids of different shapes and sizes.

现在,根据丰富的经验,我们的大脑知道它们实际上应该是矩形和直角。

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Now from extensive experience, our brains know they really should be rectangles and right angles.

所以我们的大脑利用这些奇怪的形状来推断深度信息,这在我们直线构成的世界中几乎总是正确的。

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So our brains use these strange shapes to infer depth information, which in our rectilinear world is almost always correct.

但对于一个被我们大脑认为是矩形的梯形窗户来说,情况并非如此,因此产生了错觉。

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But not in the case of a trapezoidal window that our brains assume to be rectangular, hence the illusion.

如果这个木工环境假说是正确的,那么你会期望那些在环境中较少接触矩形的人,对这种错觉的敏感度会较低。

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Now, if this carpentered world hypothesis is correct, well then you'd expect people with less experience of rectangles in their environments to be less susceptible to the illusion.

为了验证这一点,1957年,哈佛心理学家(Harvard psychologists: 美国哈佛大学的心理学研究人员)在南非对80名10到14岁的儿童进行了艾姆斯窗错觉实验。

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And to test exactly this, in 1957 Harvard psychologists tried the Ames window illusion in South Africa with 80 children, aged 10 to 14.

其中40名儿童生活在德班市,那里充满了矩形建筑、门窗。

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40 of them were living in the city of Durban full of rectangular buildings, doors and windows.

另外40名儿童来自附近的农村社区,他们住在圆形茅屋里,很少有明显的90度角。

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The other 40 were from nearby rural communities where they lived in round huts with few prominent 90 degree angles.

当受试者双眼睁开,坐在距离旋转的艾姆斯窗10英尺远的地方时,60%的城市组报告看到窗户在摆动。

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When subjects were seated 10 feet away from the rotating Ames window with both eyes open, 60% of the urban group reported seeing the window oscillating.

但在农村组中,只有17.5%的人看到了同样的情况。

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But in the rural group, only 17.5% saw the same thing.

所以结果与木工环境假说一致。

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So the results were consistent with the carpentered world hypothesis.

那些较少接触矩形的儿童不太容易受错觉的影响。

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The kids with less experience of rectangles were less likely to fall for the illusion.

但这并非全部。

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But that's not the whole story.

当坐在20英尺远的地方,并闭上一只眼睛时,错觉更加令人信服。

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When seated 20 feet away and with one eye closed, the illusion was much more convincing.

现在,90%的参与者都看到了窗户在摆动,并且城市组和农村组之间没有显著差异。

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Now, 90% of all participants saw the window oscillating and there was no significant difference between urban and rural groups.

这意味着除了我们对矩形的经验之外,还有其他因素在起作用。

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That means something else must be going on over and above our experience with rectangles.

透视变形艺术与艾姆斯房间

事实上,即使没有任何直线,你也可以得到类似的错觉。

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In fact, you can get a similar illusion without any straight lines at all.

这是德希尔圆(de Heer circle: 一种视觉错觉,旋转时看起来会来回摆动),当它持续旋转时,它也看起来在来回摆动。

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This is the de Heer circle, when rotating continuously, it also appears to oscillate back and forth.

那么发生了什么?

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So what's going on?

嗯,这两种错觉都利用了一种称为透视变形艺术(anamorphosis: 一种通过扭曲或变形图像,使其只能从特定角度或通过特殊设备才能正确观看的艺术技巧)的技术,这种技术已经被艺术家使用了几个世纪,甚至几千年。

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Well, both of these illusions make use of a technique called anamorphosis which has been used by artists for centuries if not millennia.

这是一幅1533年的画作,名为**《大使们》**(The Ambassadors: 小汉斯·霍尔拜因,文艺复兴时期德国画家Hans Holbein the Younger的作品)。

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This is a painting from 1533 called The Ambassadors by Hans Holbein the Younger.

它清晰地展示了两位重要人物,但在地板上还有一个扭曲的形状。

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It clearly shows two prominent figures, but there's also this distorted shape over the floor.

只有从正确的角度,无论是从右上角还是左下角看,才能清楚地看到这个图像实际上是一个人类头骨的详细描绘。

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Only when viewed from the correct position either of the top right or bottom left, does it become clear that the image is actually a detailed depiction of a human skull.

人们猜测这幅画是为了挂在楼梯间,这样你可能在不经意间瞥见头骨的醒目图像,提醒你生命的短暂。

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It's suspected that the painting was meant to be hung in a stairwell where presumably out of the corner of your eye, you would spot the striking image of the skull reminding you of your own mortality.

但如果你正对着画看,那么头骨就很难看到了。

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But if you were to look at the painting head-on well, the skull would be pretty hard to see.

透视变形艺术涉及对物体进行扭曲投影。

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Anamorphosis involves making a distorted projection of an object.

因此,要看到其正确的比例,你需要从特定的位置或使用特定的设备(通常是镜子)来观看作品。

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So to see its proper proportions, you need to look at the work from a particular position or with a particular device, often a mirror.

还有更早的例子,比如列奥纳多·达·芬奇(Leonardo da Vinci: 意大利文艺复兴时期博学者)的**《列奥纳多的眼睛》**(Leonardo's Eye: 达·芬奇的一幅画作),只有从侧面看才能呈现出其正确的形态。

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There are earlier examples like Leonardo's Eye by Leonardo da Vinci, which only takes its proper form when viewed from the side.

显然,列奥纳多知道如何“斜眼看”。

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Clearly, Leonardo knew how to give side-eye.

有些人可能会认为,17000年前法国拉斯科(Lascaux France: 以其旧石器时代洞穴壁画而闻名)的洞穴壁画提供了透视变形艺术的最初例子。

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And some might argue that the cave paintings at Lascaux France from 17,000 years ago provide the first examples of anamorphic art.

由于绘画表面不平整,艺术家们必须考虑他们的动物形象从不同有利位置看会如何被感知。

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Due to the uneven painting surface, artists would have had to consider how their animal figures would be perceived from different vantage points.

透视变形艺术也是艾姆斯最著名的错觉——艾姆斯房间(Ames Room: 一种设计巧妙的扭曲房间,从特定视角看却显得正常,用于研究视觉感知)的核心。

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Anamorphosis is also central to perhaps Ames most famous illusion, The Ames Room.

艾姆斯在1934年设计了他的第一个扭曲房间。

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Ames designed his first distortive room in 1934.

从一个特权视角,用一只眼睛看,它看起来就像一个普通的房间。

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And with one eye, from one privilege perspective it just looks like an ordinary room.

但当人们在房间里走动时,就会发现有些不对劲。

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But when people move around the room, it becomes obvious that something is not quite right.

艾姆斯房间是通过将一个普通的矩形房间,在中间添加一面对角墙来建造的。

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An Ames Room is constructed by taking an ordinary rectangular room and adding a diagonal wall through the middle of it.

然后,将房间的所有关键部分,如角落、窗户等,连接到特权视角的线画出来。

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Then draw lines connecting all the key parts of the room like corners, windows, and so on to the privileged viewpoint.

标记这些线与对角墙相交的位置。

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Mark where those lines intersect the diagonal wall.

然后添加地板和天花板。

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Then add a floor and a ceiling.

如果投影做得正确,它们不仅会倾斜,还会扭曲。

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If the projection is done properly, they will not only be tilted but also warped.

然后用梯形墙连接地板和天花板,瞧,你就得到了一个艾姆斯房间。

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Then connect the floor and ceiling with trapezoidal walls and voila, you have an Ames Room.

艾姆斯意识到存在无限多种不同的扭曲房间几何形状,当从特权位置观看时,它们会产生几乎相同的普通房间图像。

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Ames realized there are an infinite number of different distorted room geometries which when viewed from the privileged position create virtually identical images of a normal room.

所以我们的感知远非透明地代表外部现实,而是不断面临歧义。

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So our perceptions far from transparently representing external reality are constantly faced with ambiguity.

我们的大脑在意识层面之下,必须决定我们实际看到的是无限可能性中的哪一种。

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And our brains below the level of consciousness have to decide which of the infinite possibilities we're actually looking at.

一种歧义形式与深度感知有关。

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One form of ambiguity relates to depth perception.

这些面具中哪一个向摄像机突出,哪一个是一个凹陷?

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Which of these masks protrudes outwards towards the camera, and which is an impression?

只有通过运动才能清楚地看出哪个是哪个。

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Only through motion does it become obvious, which is which.

我们潜意识地习惯于视觉线索,这些线索指示物体有多近或多远。

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We are subconsciously attuned to visual cues that indicate how close or far away something is.

较近的物体通常更大更亮,而且它们会遮挡后面的物体。

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Closer objects are typically bigger and brighter, plus they obscure objects behind them.

但我们可以利用这些属性来创造出乎我们意料的情况。

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But we can play with these attributes in order to create situations that defy our expectations.

痴迷于重现错觉

我一直痴迷于让艾姆斯窗错觉起作用。

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Now I have been obsessed with getting the Ames window illusion to work.

看看我做了多少个不同的艾姆斯窗。

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Look at how many different Ames windows I have been making.

我最初把它们做得小,然后又做得大。

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And I made them small initially, and then bigger.

这个房间里以前有一个迪斯科球,我从没想过它会派上用场。

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There used to be a disco ball in this room, I never thought that this would come in handy.

然后我思考了一个问题,我怎样才能让自己像穿过艾姆斯窗的尺子一样呢?

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Then I thought about the question, how could I make myself like the ruler that passes through the Ames window?

当然,那样我就需要一个非常大的艾姆斯窗。

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And of course, then I would need a very large Ames window.

所以这个假期就像我们生活在一个奇怪、超现实的艺术博物馆里一样。

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So it's been this holiday season, like we're living in a weird, surreal art museum or something.

它最长的尺寸至少需要八英尺。

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It needed to be at least eight feet on its longest dimension.

它实际上是由六块胶合板粘合、螺丝固定在一起制成的。

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It's actually made out of six pieces of plywood, glued, screwed together.

其中一个挑战是让它非常薄,因为理想情况下它应该只是二维的。

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One of the challenges is to make it really thin because ideally it should just be two dimensional.

所以我们必须把这些边缘切成斜面。

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So we had to bevel these edges here.

然后我会扭动这些金属缆绳,把它们挂到天花板上,然后跳进窗户,让它们松开。

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So then I would twist up these metal cables that hang it to the ceiling and then jump in the window and let them unwind.

好的。

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Ah, huh, okay.

所以我会给你看一些我能拍到的最好的镜头,你告诉我,这对你有效吗?

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So I'll show you some of the best shots I was able to get and you let me know, does this work for you?

你看到它在摆动,还是只看到它实际的旋转?

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Do you see it oscillating or do you just see it rotating as it actually is?

我发现光线非常重要。

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I found lighting is really important.

两边的光线需要非常均匀,才能让你相信它确实在摆动。

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The lighting needs to be really even on both sides to convince you that it is really oscillating.

当梯形的大边靠近我们时,我们感知到它正在像实际那样旋转。

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When the large side of the trapezoid is close to us, we perceive it rotating exactly as it is.

但当大边转到后面时,它在我们的视野中仍然比小边大。

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But when the large side moves around to the back, it is still larger in our field of view than the small side.

所以我们的大脑将其感知为更近,并以相反方向旋转。

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So our brain perceives it as closer and rotating in the opposite direction.

这就是窗户看起来在摆动的原因。

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This is why the window appears to oscillate.

一半时间我们看到窗户的真实样子,一半时间我们看到大边离我们更近,即使它实际上更远。

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Half the time we're seeing the window as it is, and half the time we're seeing the bigger side as closer to us, even though it's farther away.

婴儿的深度感知与错觉的哲学启示

但我们最初是如何发展解释深度线索的能力的呢?

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But how do we develop the ability to interpret depth cues in the first place?

嗯,这似乎是一种与生俱来的能力,在我们的发展早期就形成了。

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Well, it seems to be an innate ability which forms very early in our development.

他们实际上向三个不同年龄组的婴儿——五个月半、七个月半和九个月——展示了艾姆斯窗错觉。

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They've actually shown babies in three different age groups five and a half months, seven and a half months and nine months the Ames window illusion.

他们看到了窗户在摆动吗?

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Do they see the window oscillating?

我们怎么知道他们是否看到了?

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And how would we know if they did?

嗯,婴儿对新奇事物有一种众所周知的偏好。

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Well, babies have a well-known preference for novelty.

他们会更长时间地注视对他们来说是新奇的事物。

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They look longer at things that are new to them.

所以实验者首先让他们接触一个普通的旋转圆圈。

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So experimenters first exposed them to an ordinary rotating circle.

然后他们同时向他们展示艾姆斯窗和一个旋转的矩形窗。

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And then they showed them simultaneously the Ames window and a rotating rectangular window.

五个月半大的婴儿对艾姆斯窗没有表现出特别的偏好。

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The five and a half month old babies showed no special preference for the Ames window.

但七个月半和九个月大的婴儿对艾姆斯窗表现出显著的兴趣。

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But the seven and a half and nine month olds were significantly more interested in the Ames window.

这表明他们认为它在做一些不同的事情,大概是摆动。

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Suggesting they perceive it as doing something different, presumably oscillating.

我之所以如此痴迷于这个错觉,是因为我认为它挑战了科学的一个重大误解。

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The reason I have been so obsessed with this illusion is because I think it confronts one of the big misconceptions about science.

那就是科学家们提出相互竞争的理论,然后你所要做的就是查看数据来决定哪个是最好的理论。

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Which is this idea that scientists propose competing theories, and then all you have to do is look at the data to decide which is the best theory.

事实是,在许多情况下,相同的数据可能来自非常不同的外部现实。

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The truth is there are many circumstances in which the same data could come from very different external realities.

举一个经典的例子,是太阳绕着地球转,还是地球绕着自己的轴旋转?

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To use a classic example, does the sun go around the earth or does the earth rotate on its axis?

太阳在天空中移动的观测本身并不能解决这场争论。

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The observation of the sun moving across the sky doesn't in itself resolve that debate.

或者用更现代的例子来说,当你进行量子测量时,波函数坍缩(wave function collapse: 量子力学中描述量子态在测量时发生变化的现象)了吗,还是宇宙分支了?

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Or to use more modern examples, when you make a quantum measurement does the wave function collapse or does it branch the universe?

光速在所有方向上都真的相同吗,还是有所不同,我们只看到了往返速度?

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Is the speed of light really the same in all directions or does it differ and only the roundtrip speed is seen?

截至目前,数据无法区分这些理论。

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As of right now the data do not discriminate between those theories.

我认为我们可以将此扩展到科学之外。

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And I think we can extend this beyond science.

我的意思是,也许艾姆斯错觉是生活的良好隐喻。

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I mean maybe the Ames illusions are a good metaphor for life.

我们感觉自己可以直接感知外部现实,就像一个人看着艾姆斯房间一样,但事实是存在无限多种不同的几何形状,它们看起来都一样。

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We feel as though we can directly perceive external reality like a person looking into an Ames Room, but the truth is there are an infinite number of different geometries that would all look the same.

你知道,现在很多人都在获取相同的基础信息,但对现实状况却得出了截然不同的结论。

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You know these days, a lot of people are getting the same fundamental information but coming to very different conclusions about the state of reality.

所以我认为在这种背景下,重要的是要记住,像一张小小的旋转图片这样简单的事物,都能以相当惊人的方式愚弄我们的大脑。

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So I think in that context, it's important to remember that something as simple as a little rotating picture can fool our brains in fairly spectacular ways.

所以我们应该以更多的谦逊和更少的确定性来对待世界以及我们对世界的结论。

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So we should approach the world and our conclusions about it with a little more humility and a little less certainty.

赞助商信息:NordVPN

嘿,本视频由NordVPN(一家提供虚拟私人网络服务的公司)赞助。

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Hey, this video was sponsored by NordVPN.

在假期期间访问NordVPN.com/veritasium,即可获得特别优惠。

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Get a special deal for the holidays when you go to NordVPN.com/veritasium.

今年早些时候,我想观看我最喜欢的运动队在季后赛中的比赛。

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Now earlier this year, I wanted to watch my favorite sports team in the playoffs.

所以我购买了联盟的全面通行证。

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So I bought an all access pass from the league.

但当我去看比赛时,我所在的地区有停播限制。

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But then when I went to watch a game, there was a blackout restriction in my area.

所以我使用NordVPN将我的位置设置为澳大利亚,并从那里观看了比赛。

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So I used NordVPN to set my location to Australia and watch the game from there.

过去,我制作的纪录片在美国或澳大利亚可以免费观看,但在其他几乎任何地方都无法访问。

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In the past, I've made documentaries that were free to stream in the U.S. or Australia but basically impossible to access almost anywhere else.

VPN提供了解决方案。

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And VPNs offer the solution.

它们帮助你创造一种你在其他地方的错觉。

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They help you create the illusion that you were somewhere else.

使用NordVPN,你可以访问近60个国家的5000台服务器。

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And with NordVPN, you get access to 5,000 servers in nearly 60 countries.

此外,使用VPN可以防止你的互联网服务提供商看到你访问的网站。

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Plus using a VPN prevents your internet service provider from seeing the sites you visit.

当我在咖啡馆加入公共Wi-Fi或旅行时,我特别利用了这一点。

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And this is something I take particular advantage of when joining public Wi-Fis at cafes or when I'm traveling.

在这个每个人都想尽可能多地获取你数据的时代,我认为反击并最小化你发布的信息量很重要。

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In a time when everyone wants to capture as much of your data as possible, I think it's important to push back and minimize the amount of info you're putting out there.

最棒的是,在这个特别的假日优惠中,NordVPN提供两年计划68%的折扣,外加四个月免费。

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And best of all, in this special holiday deal NordVPN is offering 68% off a two-year plan plus four months free.

只需访问NordVPN.com/veritasium。

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Just go to NordVPN.com/veritasium.

我会在描述中留下那个链接,并使用代码Veritasium。

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I'll put that link down in the description and use code Veritasium.

所以我要感谢NordVPN赞助这个视频,也要感谢你的观看。

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So I wanna thank NordVPN for sponsoring this video, and I wanna thank you for watching.

我知道你在想,他的频道是以一个元素命名的,但他衬衫上穿着另一个元素。

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I know you're thinking his channel is named for an element, but he's wearing a different element on his shirt.

哦,这真是讽刺。

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Oh the irony.

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关键字: anamorphosi bias canada geopolitical perception