Cardinality of Sets
The number of elements in a particular set is a property known as cardinality, informally this is the size of a set. In the above examples the cardinality of the set A is 4, while the cardinality of either of the sets B and C is 3. An infinite set is a set with an infinite number of elements, while a finite set is a set with a finite number of elements. The above examples are examples of finite sets. An example of an infinite set is the set of natural numbers, N = { 1, 2, 3, 4, ... }.
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“There be some sports are painful, and their labor
Delight in them sets off. Some kinds of baseness
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Point to rich ends.”
—William Shakespeare (1564–1616)