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In addition to the cardinal numbers defined so far, there are two important cardinal characteristics—𝔟 and 𝔡—that refer to dominating functions of real numbers.

Chapters in books are usually given the cardinal numbers 1, 2, 3, 4, 5, 6 and so on.

This attaching to the cardinal numbers above three or four the meanings of the ordinal numbers seems to affect many children on entrance to school.

This whole process is familiar; it gives the series of the positive whole numbers, that is, the cardinal numbers.

Few persons have an adequate idea of the important part the cardinal numbers are now playing in the cause of Liberty.