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What are ordinal numbers?

What are ordinal numbers? Here are some definitions.

Noun
  1. plural of ordinal number
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In 1905 Bernstein published an important article on transfinite ordinal numbers.
The works must be marked by ordinal numbers ordered in the same manner as in the application form.
Abbreviations and ordinal numbers at the beginning of a name should be spelled out.
A full stop is placed after most abbreviations, after initial letters, and after ordinal numbers in Roman characters.
Research on the acquisition of cardinal numbers in the two languages will be discussed first, before predictions about the acquisition of ordinal numbers are described.
Furthermore, ordinal numbers are less frequently encountered than are cardinal numbers.

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