How Does Mathematician Explains Infinity in 5 Levels of Difficulty | WIRED Work?

Imagine you're counting cookies and there's never an end to them, that’s infinity!

Let’s say you have a bowl of cookies. If you eat one, another appears. No matter how many you eat, more keep coming. That’s like the first level of infinity: it goes on forever, no stop.

Counting Forever

Now imagine you're not just counting cookies, you're counting all numbers: 1, 2, 3... and so on. There's always a next number, that’s the second level of infinity. It doesn’t run out, even when you count forever!

A Bigger Infinity

What if you had two bowls of cookies? One with numbers (like before), and another with pairs: (1, 2), (3, 4)... You might think there are more cookies in the second bowl, but actually, both go on forever, that’s the third level. They're infinite, but they’re the same size of infinity.

Infinite Layers

Now imagine stacking cookie layers one after another, each layer has infinite cookies! That's like the fourth level: some infinities are bigger than others, just like some piles of cookies are taller than others.

Infinity Everywhere

Finally, think of a world where everything is made of cookies, even time and space. That’s the fifth level of infinity. It’s everywhere you look! Imagine you're counting cookies and there's never an end to them, that’s infinity!

Let’s say you have a bowl of cookies. If you eat one, another appears. No matter how many you eat, more keep coming. That’s like the first level of infinity: it goes on forever, no stop.

Counting Forever

Now imagine you're not just counting cookies, you're counting all numbers: 1, 2, 3... and so on. There's always a next number, that’s the second level of infinity. It doesn’t run out, even when you count forever!

Infinite Layers

Now imagine stacking cookie layers one after another, each layer has infinite cookies! That's like the fourth level: some infinities are bigger than others, just like some piles of cookies are taller than others.

Infinity Everywhere

Finally, think of a world where everything is made of cookies, even time and space. That’s the fifth level of infinity. It’s everywhere you look!

Take the quiz →

Examples

  1. A child counts to ten and thinks that's all there is.
  2. A teacher says numbers never end, so you can keep counting forever.
  3. You imagine a hotel with infinite rooms that can always fit more guests.

Ask a question

See also

Discussion

Recent activity