Everything changed when the fire crystal got stolen - Alex Gendler

2,420,901 views ・ 2020-02-06

TED-Ed


请双击下面的英文字幕来播放视频。

翻译人员: Carol Wang 校对人员: Candace Hwang
00:06
Someone has tripped the magical alarms in the Element Temple.
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有人触发了元素神殿的魔法警报,
00:10
By the time you and the other monks arrive on the scene,
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当你和其他僧人赶到现场时,
00:14
you know you have a disaster on your hands.
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你知道自己需要处理这场灾难。
00:17
Overnight, four young apprentices broke into the temple’s inner chamber
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一夜之间, 四个年轻学徒闯入了寺庙的内室,
00:22
to steal the sacred element crystals.
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偷走了神圣的元素水晶。
00:25
But when the alarm went off they panicked,
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但当警报响起时,他们惊慌失措,
00:27
and each of them swallowed the crystal they held right before they were caught.
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在被抓之前, 每人都吞下了他们手里的水晶。
00:32
With no idea how to control the crystals’ vast powers,
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由于不知如何控制 这些水晶的巨大力量,
00:36
they’ll soon transform into uncontrollable elemental spirits.
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他们很快就会变成 无法控制的元素精灵。
00:41
Improbably enough,
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令人难以置信的是,
00:43
the old monk next to you has seen something similar happen before.
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你旁边的老僧以前曾见过类似事情。
00:47
He explains: “You must determine who ate which crystal
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他解释说: “你必须弄清谁吃了哪块水晶,
00:51
and get each into the proper containment field before they transform.
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并在他们变形之前 把他们放入各自晶石的容器中。
00:56
The elements compel their masters:
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元素能胁迫它们的主人,
00:59
those who ate the Earth and Water Crystals must speak the truth,
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吞下地球晶石 或水晶石的人必须说真话,
01:03
while those who consumed Fire and Air must lie."
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而吞了火晶石 和空气晶石的人必须说谎。”
01:08
The youths are too scared to confess their own transgressions.
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这些年轻人吓坏了, 不敢承认自己的罪过;
01:12
Instead, they fall to accusing each other.
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相反,他们互相指责。
01:15
“Rikku took the Water crystal!” Sumi blurts out.
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苏米脱口说道: “瑞丘拿了水晶石!”
01:18
Rikku interrupts angrily.
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瑞丘生气地打断道,
01:19
“It was Bella, she stole the Fire crystal!”
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“是贝拉偷走了火晶石!”
01:22
So Bella yells: “Jonah ate the Air crystal, I saw him!”
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而贝拉大叫道, “乔纳吞了空气水晶,我看见了!”
01:26
Jonah looks up timidly and shakes his head.
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乔纳胆怯地抬起头来,摇了摇头。
01:29
“I… I don’t know what happened, but Sumi doesn’t have the Earth crystal.”
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“我……我不知道发生了什么, 但苏米没拿地球晶石。”
01:34
So who ate which crystal?
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那么,到底谁吃了哪块晶石呢?
01:36
Pause now to figure it out for yourself.
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[ 可暂停播放,自己解题 ]
01:42
There’s no getting around it— this will take some trial and error.
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需要经历一些尝试和错误, 这些都是回避不掉的,
01:46
But that’s not a bad thing.
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但这也并非坏事。
01:48
If we make a wrong guess,
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如果我们猜错了,
01:49
we’ll eventually reach a point where our conclusions contradict each other.
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就会得出互相矛盾的结论,
01:53
That would allow us to confirm that our initial guess was wrong
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这使我们确定最初的猜想错了,
01:57
and work from there.
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然后再继续猜。
01:58
This is a technique known as proof by contradiction.
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这就是所谓的技巧反证法,
02:02
The trick is in being strategic about where we begin our guessing.
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其关键是如何有策略的入手猜测。
02:07
Some assumptions might not lead to contradictions
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如果不作进一步假设,
02:09
without making further assumptions.
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有些假设可能不会导致矛盾。
02:12
We want to pick one that creates the most constraints on its own,
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我们要选一个 对自己产生最多约束的假设,
02:16
and thus gives us the most information when it turns out to be right or wrong.
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当最终证明它对或错时, 就能给提供最多的信息。
02:21
Take, for example, Sumi’s statement.
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以苏米的声明为例,
02:23
If we assume she’s telling the truth,
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若假设她说真话,
02:26
we’d know the identity of both truth tellers.
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就能确定两个说真话的人。
02:29
Rikku would have the Water crystal, and since she’s not lying about him,
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那么,瑞丘拿的是水晶石,
既然她没撒谎, 苏米就拿了地球晶石。
02:33
Sumi would have Earth.
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02:35
So Bella would have the Fire crystal, as Rikku says.
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如瑞丘所说,贝拉则拿了火晶石。
02:38
But then Bella would have to be lying about Jonah having the Air crystal.
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但如此一来,贝拉说的 有关乔纳有空气晶石就是谎言。
02:43
And yet that’s the only remaining option.
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这是仅剩的唯一选择,
02:46
This is a contradiction, and it tells us our initial assumption was wrong.
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但它与假设相矛盾, 说明我们最初的假设错了。
02:51
So now we can go back to the start,
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这样,我们又回到起点,
02:53
but with the added knowledge that Sumi is lying.
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但已知苏米在撒谎。
02:57
As a liar, Sumi must either have the Fire or Air crystal.
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苏米既然是说谎者, 她拿了火晶石或空气晶石,
03:01
That means Jonah was telling the truth about her,
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意味着乔纳说的 有关她的话是实情,
03:04
so he can’t have taken either of those.
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那么他不会有空气晶石或火晶石。
03:07
And that means Bella was lying about him,
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这意味着贝拉说的 有关他的话是撒谎,
03:10
so she must also have either Fire or Air.
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所以,贝拉要么有火晶石, 要么有空气晶石。
03:13
Since Sumi was lying, Rikku can’t have taken the Water crystal—
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既然苏米在撒谎, 瑞丘不可能有水晶石了——
03:17
the only one left who could have it is Jonah.
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剩下能拿水晶石的人只有乔纳。
03:20
And because we’ve already identified the two liars,
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因为我们已经确定了两个撒谎者,
03:23
Rikku must have the Earth crystal.
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瑞丘一定有地球晶石。
03:26
That means Bella has the Fire crystal and Sumi has Air.
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也就是说,贝拉有火晶石, 苏米有空气晶石。
03:30
You manage to get them all in the proper containment fields
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当晶石魔力要开始显现时,
03:33
just as the crystals’ magic begins to manifest.
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你刚好设法把他们四人 关进了有效控制区内。
03:37
Compared with the difficult task of training these kids
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训练孩子们如何控制其新能力 是一项无比艰巨的任务,
03:39
to control their new powers,
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与该训练任务相比,
03:41
figuring out who had which crystal was elementary.
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弄清谁拿了哪块晶石不过小事一桩。
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