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What are the different sizes of infinity?
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January 13th, 2013
Infinity actually comes in different sizes (also called cardinalities). Some of the first examples of this were proven by Cantor back in the 1800’s.
There are actually an infinite number of different sizes of infinities. For example. the set of real numbers is a different size of infinity than the set of whole numbers. Also, the set of whole numbers is the same size as the set of rational numbers.
However, are there any more examples of infinity that are as clearly and simply defined as these examples? After the number of real numbers, what are some of the next sizes of infinity that are larger than that?
Also, what size of infinity describes the number of infinities?
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