Imagine you have a never-ending bag of marbles. Now, imagine you have two such bags, one with red marbles and one with blue marbles. If you pair each red marble with a blue one, both bags still feel the same size, even though they’re infinite! But if you take an infinite number of marbles and add another infinite number, it’s still just as big as before. That’s how infinite sets work, they act really strangely when you play with them.
Examples
- Pairing red marbles with blue ones in an infinite bag feels like both bags are the same size
- Adding more marbles to a never-ending bag doesn’t make it bigger
- Matching numbers from one set to another can feel surprising
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See also
- What Is Infinity Actually Like?
- How Does a Chessboard Help Us Understand Infinity?
- How Does The Most Controversial Idea In Math Work?
- What is cryptography?
- What is Φ (phi)?