The definition of the ordinal number requires some little ingenuity owing to the fact that no serial relation can have a field whose cardinal number is 1; but we must omit here the explanation of the process.

This relation-number is the ordinal number corresponding to n; let it be symbolized by it.

The ordinal number is the class whose sole member is the null relation - that is, the relation which never holds between any pair of entities.

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Where a number is expressed in terms of various denominations, a cardinal number usually begins with the largest denomination, and an ordinal number with the smallest.