Imagine you have two bags of marbles. One bag has all the red marbles, and the other has all the blue marbles. If you can match each red marble to a blue one perfectly, they both have the same number of marbles, even if it looks like there are way more in one bag! This is like how some infinities are the same size even though they seem different. But when you get to something like all the numbers between 0 and 1, that infinity is bigger than the one with just whole numbers.
Examples
- You can pair up all the red marbles with blue ones if they’re both infinite sets of the same size.
- There are more numbers between 0 and 1 than there are whole numbers.
- Even though you have an endless number of cookies, you might not have enough sugar to make them all.
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See also
- Why Does Infinity Come in Different Sizes?
- Why Are There Infinite Numbers of Infinity?
- Why Is Infinity Not a Number?
- What Makes a Number 'Prime'?
- What's the Point of a Prime Number?
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