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B1 中级 英语 8:00 Educational

Infinity is bigger than you think - Numberphile

Numberphile · 7,607,467 次观看 · 添加于 3 周前

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字幕 (209 片段)

00:00

JAMES GRIME: We're going to break a rule.

00:01

We're break one of the rules of Numberphile.

00:03

We're talking about something that isn't a number.

00:06

We're going to talk about infinity.

00:08

So infinity.

00:11

Now like I said, infinity is not a number.

00:16

It's a idea.

00:17

It's a concept.

00:18

It's the idea of being endless, of going on forever.

00:22

I think everyone's familiar with the idea of

00:23

infinity, even kids.

00:25

You start counting 1, 2, 3, 4, 5--

00:29

you might be five years old, but already you're thinking,

00:32

what's the biggest number I can think of.

00:35

And you go, oooh, it's 20.

00:37

You get a bit older, and you go, maybe it's a million.

00:39

It never ends, does it? 'Cause you can keep adding 1.

00:42

So that's the idea of infinity.

00:44

The numbers go on forever.

00:47

But I'm going to tell you one of the more surprising facts

00:50

about infinity.

00:51

There are different kinds of infinity.

00:54

Some infinities are bigger than others.

00:57

Let's have a look.

00:58

The first type of infinity is called countable.

01:01

And I don't like the name countable.

01:03

And Brady gave me a little bit of a hmm, just then.

01:05

Because if you're talking about infinity, you can't

01:09

count infinity, can you?

01:10

Because it goes on forever.

01:12

I think it's a terrible name.

01:15

I prefer to call it listable.

01:17

Can we list these numbers?

01:19

All right.

01:19

Let's do these simple numbers, 1, 2, 3--

01:23

BRADY HARAN: You're not gonna do all of them, are you James?

01:25

JAMES GRIME: 4.

01:25

How long have we got?

01:27

BRADY HARAN: (LAUGHING) 10 minutes.

01:28

JAMES GRIME: Right.

01:28

5, 6--

01:31

so you can list the whole numbers.

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