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Infinity is bigger than you think - Numberphile
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JAMES GRIME: We're going to break a rule.
We're break one of the rules of Numberphile.
We're talking about something that isn't a number.
We're going to talk about infinity.
So infinity.
Now like I said, infinity is not a number.
It's a idea.
It's a concept.
It's the idea of being endless, of going on forever.
I think everyone's familiar with the idea of
infinity, even kids.
You start counting 1, 2, 3, 4, 5--
you might be five years old, but already you're thinking,
what's the biggest number I can think of.
And you go, oooh, it's 20.
You get a bit older, and you go, maybe it's a million.
It never ends, does it? 'Cause you can keep adding 1.
So that's the idea of infinity.
The numbers go on forever.
But I'm going to tell you one of the more surprising facts
about infinity.
There are different kinds of infinity.
Some infinities are bigger than others.
Let's have a look.
The first type of infinity is called countable.
And I don't like the name countable.
And Brady gave me a little bit of a hmm, just then.
Because if you're talking about infinity, you can't
count infinity, can you?
Because it goes on forever.
I think it's a terrible name.
I prefer to call it listable.
Can we list these numbers?
All right.
Let's do these simple numbers, 1, 2, 3--
BRADY HARAN: You're not gonna do all of them, are you James?
JAMES GRIME: 4.
How long have we got?
BRADY HARAN: (LAUGHING) 10 minutes.
JAMES GRIME: Right.
5, 6--
so you can list the whole numbers.
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