What Is Infinity — And Why Does It Come In Different Sizes?

Infinity is like a never-ending party. You might think there are the same number of guests as there are chairs, but what if there are twice as many guests as chairs? Then you have two kinds of infinity, one that keeps going forever and another that goes even further.

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Examples

Imagine an endless row of seats at a party, every guest gets one chair. If you add twice as many guests, they still all get chairs.
A bag with infinite marbles can be matched one-by-one to another bag with the same number of marbles, but if it's uncountably infinite, you can't match them like that.

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Categories: Math · infinity· math concepts· set theory