The moon illusion - Andrew Vanden Heuvel

月亮錯覺 - 安德魯‧凡登‧豪威爾

783,551 views ・ 2013-09-03

TED-Ed


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譯者: Kuanju Chou 審譯者: Justin Lin
00:10
Have you ever noticed
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你有沒有注意過
00:11
how the full moon looks bigger
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滿月在接近地平線時
00:12
when it's near the horizon
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看起來比較大
00:14
than when it's high over head?
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升上天頂的時候卻比較小?
00:15
If so, you're not alone.
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不光是你這麼覺得
00:17
People have wondered about this strange effect
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自古以來
大家一直對這個奇怪的現象感到好奇
00:19
since ancient times,
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00:21
and surprisingly, we still don't have
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而且驚人的是,我們還未找到
00:23
a great explanation,
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一個極佳的解釋
00:24
but that's not for lack of trying.
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但這不是因為沒有試著找答案
00:26
Some of the greatest minds in history -
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許多歷史上數一數二的思想家
00:28
Aristotle,
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亞里斯多德
00:29
Ptolemy,
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托勒密
00:30
Da Vinci,
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00:30
Decartes
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達文西
笛卡爾
00:31
- have all wrestled with this problem
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都苦思過這個問題
00:33
and failed to generate an adequate explanation.
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卻無法得出合宜的解釋
00:36
One of the first ideas suggested
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其中第一個想法認為
00:38
was that the image of the moon in the sky
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天空中月亮的影像
00:40
really is bigger near the horizon.
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在靠近地平線的時候的確比較大
00:42
Perhaps the Earth's atmosphere acts like a giant lens,
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或許地球的大氣層就像一面巨大的透鏡
00:45
magnifying the moon as it rises and sets.
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能在月亮起落時將它放大
00:48
But this explanation doesn't cut it.
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但這個解釋沒有切中要點
00:50
If anything, the refraction of the atmosphere
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如果真是如此,大氣層的折射
00:52
would make the moon look slightly smaller.
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會使月亮看起來稍微小一點
00:55
Plus, if you actually measure
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再者,如果你實際測量
00:56
the size of the visible moon
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月亮在不同位置的大小
00:57
at different positions,
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你會發現
00:59
it doesn't change at all.
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它根本沒有改變
01:00
But then, why does it still seem bigger
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那麼為什麼當月亮升起時
01:02
when it's rising?
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看起來比較大呢?
01:03
This must be some kind of optical illusion.
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這必定是某種視錯覺
01:06
The question is, which one?
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問題是,是哪一種呢?
01:08
One explanation is the Ebbinghaus Illusion,
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艾賓浩斯錯覺是一種解釋
01:11
where two identical objects look different
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兩件一樣的物體
01:13
because of the relative size
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因周圍物體的相對大小
01:14
of the objects they're surrounded by.
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而看起來不同
01:17
Here the two center circles are actually the same size.
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這兩個位在中心的圓其實是一樣大的
01:21
Maybe the moon looks bigger near the horizon
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或許月亮接近地平線時,看起來比較大
01:23
because it's next to tiny trees,
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是因為它的旁邊有小樹
01:25
houses,
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01:25
and towers in the distance.
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房子
以及遠方的塔樓
01:27
But when the moon is higher up,
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但當月亮升至高空時
01:29
it's surrounded by the vast darkness of the night sky
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被夜空中廣大的黑暗包圍
01:31
and looks tiny by comparison.
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而在相互比較下,看起來較小
01:34
Another possibility is the famous Ponzo Illusion.
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另一個可能的解釋是有名的龐佐錯覺
01:37
If you've ever tried to draw in perspective,
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如果你曾嘗試以透視法作畫過
01:39
you know that the closer something is to the horizon,
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你就知道你應該將愈靠近地平線的東西
01:41
the smaller you should draw it.
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畫得愈小
01:43
Our brain compensates automatically for this
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我們的腦袋自動補償了這個現象
01:46
by perceiving objects near the horizon
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藉由將接近地平線的物體
01:48
as larger than they actually appear.
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看成比實際上來得大
01:50
The two yellow lines in this drawing
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圖畫中的兩條黃線
01:52
are the same size,
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大小一樣
01:53
but the upper one seems bigger
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但上面的線段看起來比較大
01:55
because we interpret it as receding
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因為我們將它解釋為
01:57
farther into the horizon.
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退向遠方的地平線
01:59
So, between Ponzo and Ebbinghaus,
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那麼,透過龐佐還有艾賓浩斯
02:01
it seems like we've solved the mystery
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我們似乎已經解決了
02:02
of the moon illusion,
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月亮錯覺的謎團
02:03
but, unfortunately, there are a few details
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但不幸地,有一些細節
02:06
that complicate things.
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使得月亮錯覺更加令人費解
02:08
For one thing, if this was just the Ebbinghaus effect,
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一方面,如果這只是艾賓浩斯錯覺的話
02:11
then we would expect the moon illusion
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我們會預期月亮錯覺
02:12
to disappear for pilots flying high above the clouds
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在飛航員於雲端飛行時會消失
02:16
since there wouldn't be any other smaller objects
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因為那裡並沒有其他靠近地平線的
02:18
near the horizon.
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較小物體
02:19
But in fact, pilots and sailors out on the ocean
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但實際上,飛行員和海上的航海員
02:22
still claim to see the moon illusion.
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都宣稱看過月亮錯覺
02:24
On the other hand, if it's just our brain's autocorrecting
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另一方面,若這只是我們腦內自動在校正
02:27
the size of objects near the horizon,
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靠近地平線物體的大小
02:29
then we'd expect the moon illusion
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那麼我們會期待月亮錯覺
02:31
to be visible inside a planetarium,
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在天文館也看得到
02:33
where the whole sky,
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那裡的整個天空
02:34
including the horizon,
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包含地平線在內
02:35
is displayed on a spherical dome overhead.
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都展現在球形圓頂的上頭
02:38
Studies have shown, though,
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然而,研究顯示
02:40
that this is not the case.
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情況不是如此
02:42
To make matters worse,
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更麻煩的是
02:43
it seems the moon illusion disappears entirely
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月亮錯覺似乎
02:45
if you just bend over
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會在你彎下腰來
從雙腿間看月亮時完全消失
02:47
and look at the moon between your legs.
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02:49
Now, this is just getting ridiculous!
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現在開始一發不可收拾了!
02:52
One of the most promising explanations today
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今日,其中一項最具前瞻性的解釋
02:54
is known as Convergence Micropsia.
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叫做視物顯小理論
02:57
Our brains judge the distance to objects
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我們的大腦藉由將雙眼聚焦
02:59
and their apparent size
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來判斷物體的距離
03:01
by the focus of our eyes.
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以及它們外觀的大小
03:03
When looking at the horizon,
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看向地平線時
03:04
your eyes focus far off into the distance
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眼睛聚焦在遙遠的遠方
03:06
so your brain knows you're looking far away.
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所以你的大腦知道你在看遠方
03:09
The moon appears a certain size.
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月亮看起來是一定的大小
03:11
Your brain thinks it's far away,
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你的大腦認為它非常遠
03:12
which it is,
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所以
03:13
so you naturally conclude the moon must be big.
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你自然而然認為月亮一定很大
03:16
But when looking up at the night sky,
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但當你抬頭看向夜空
03:18
there's nothing for your eyes to focus on,
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那裡沒有東西可以讓眼睛聚焦
03:20
so they default to their rest focus,
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所以雙眼默認了其餘的焦距
03:22
which is a point just a few meters away.
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也就是幾公尺之外的一點
03:25
Now your brain thinks the moon is much closer
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現在你的大腦認為月亮比實際上
03:27
than it really is,
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距離你更近
03:28
so you naturally conclude
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所以你自然而然地認為
03:29
the moon's not as big as you thought it was.
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月亮並沒有你原先想的那麼大
03:32
Rather than explain why the moon
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視物顯小理論沒有解釋
03:33
looks so big near the horizon,
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為什麼月亮靠近 地平線時看起來較大
03:35
Convergence Microspia explains
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而對為何月亮在頭頂上方時
03:37
why the moon looks so small when overhead.
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看起來較小做了解釋
03:40
Still not satisfied?
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還是不滿意嗎?
03:42
Well, frankly, neither are many scientists,
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好吧,坦白說,很多科學家也不甚滿意
03:44
so the debate over the moon illusion still rages on
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所以月亮錯覺的爭論還在持續著
03:47
and may continue as long as we still see it
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而且只要夜裡還看得到月亮
03:50
in the night sky.
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就會一直持續下去
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