Infinity isn’t just a really big number, it’s like having an endless supply of cookies. But here's the twist: some infinities are bigger than others! Imagine you have two jars, one with infinite candies and another with infinite jellybeans. You might think they’re the same size, but if you pair each candy with a jellybean and still have extra jellybeans left over, that means this infinity is bigger. That’s how we can tell some infinities are larger than others, like having an endless supply of candies versus having even more jellybeans.
Examples
- You can count an infinite number of candies in one jar, but you might need another jar for the jellybeans, and there could be even more flavors of jellybeans.
- Imagine matching each sock to a shoe, you might still find extra shoes left over if the number of shoes is bigger than the number of socks.
- There are infinitely many whole numbers, but there are more real numbers like 0.123456789... that can't all be matched with them.
Ask a question
See also
- Why Does Infinity Sometimes Behave Like a Number?
- What Is Infinity — And Why Does It Come In Different Sizes?
- What is infinity?
- Can numbers grow forever?
- Why Are There Infinite Numbers?