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What is cardinal of a set?

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Anonymous

13y ago
Updated: 9/17/2019

In Mathematics, the cardinality of a set is the number of elements it contains.

So the cardinality of {3, 7, 11, 15, 99} is 5.

The cardinality of {2, 4, 6, 8, 10, 12} is 6.

* * * * *

That is all very well for finite sets. But many common sets are infinite: integers, rationals, reals.

The cardinality of all of these sets is infinity, but they are of two "levels" of infinity. Integers and rationals, for example have a cardinality of Aleph-null whereas irrationals and reals have a cardinality of aleph-one. It has been shown that there are no sets of cardinality between Aleph-null and Aleph-one.

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13y ago

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