Those are the familiar and empirical objects that we can see, pieces of paper, bodies, pieces of chalk, bars of metal.
那就是我们能看见的,熟悉的已知的物体,纸,身体,粉笔,金属棒。
But suppose you are in a train and you're moving past me and you look at this piece of chalk.
但假如你在火车上,从我面前驶过,你看着这支粉笔
Clearly, if I take a chalk like this one here, and I throw it on the ground, and it breaks in little pieces, if I run the movie backwards that doesn't make sense, right?
很清楚,如果我拿一支这样的粉笔,把它扔到地上,它会摔成碎片,如果我们把这个场景倒过来放映,那是没有意义的,对吧?
- Well, just a moment ago, we did have -- -- and this time I'll use some chalk here -- a moment ago, we did have a picture depicting what was going on when you call the function.
好的,刚才,我们确实有-,这一次我将用一些粉笔-,刚才,我们有一张图描绘了当我们调用函数的时候,会发生什么事情。
It's not the most interesting physical object in the world, but it's a whole lot more interesting than a piece of chalk.
它虽不是这个世界上最吸引人的物理对象,但它能干的事比一根粉笔能干的有趣多了
It could be that a random distribution-- I don't have colored chalk here I don't think, so I will use a dash line to represent the fat-tailed distribution.
这是一个随机分布,这里没有彩色粉笔,我就用虚线,来表示长尾分布
What I can do with is some more chalk.
我来换根粉笔好了
If you believe black men are criminals, then when you see a black man who is a criminal you'll chalk it down as support but you'll pay less attention to evidence that white men are criminals and some black men are not criminals.
如果你相信黑人都是罪犯,当你看到一个是罪犯的黑人时,你就会觉得这是证据,但你不会注意其他证据,证明白人也有罪犯,黑人也有不是罪犯的。
You've got to pretty much take that chalk, and make a slurry out of it, put water, and dry it back up, put in a mold, and then you can have the chalk again, but you can't just glue it back together.
你得尽可能地收集它的碎片,把它做成粉浆,加水然后风干,放进模具,然后你就能重新得到这支粉笔,但是你不能简单地把它粘起来。
You might think -- and this board is -- and you know what, let's use the computer because it will erase more cleanly than chalk.
你可能会想--这个板子是--你们懂得,让我们使用电脑,因为它能比粉笔擦除地,更干净些。
It can do all sorts of things a piece of chalk can't do.
它能干一堆粉笔干不了的事
Let me draw a quick picture in chalk here.
我用粉笔画一个简单的图。
Just think of them as the set of abilities that people have, the things that we can do that other physical objects-- chalk, radios, cars-- those things can't do.
只是把它们视为人具备的能力,作为人有别于粉笔,收音机,汽车等其他物体的能力
Now this is fundamentally important, and as you know that means that it warrants the exalted distinction of being put up in colored chalk.
这个非常重要,我用彩色粉笔将它写出来就是为了区分,它与其他公式的区别并强调其重要性。
For example, if you're talking about the chalk--if I throw the chalk, you will have to know where it is and how fast it's moving.
比如说,这支粉笔,如果我扔出这支粉笔,你就像知道它的位置和速度
A piece of chalk can be broken.
一根粉笔可以被破坏。
Here's a piece of chalk.
这有一根粉笔。
I'm all set, I only use this chalk.
我很好,不---我准好了,我只有这只粉笔,I’m,fine。,I,don’t,–
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