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  2. Ordinal number - Wikipedia

    en.wikipedia.org/wiki/Ordinal_number

    In set theory, an ordinal number, or ordinal, is a generalization of ordinal numerals (first, second, n th, etc.) aimed to extend enumeration to infinite sets. [ 1 ] A finite set can be enumerated by successively labeling each element with the least natural number that has not been previously used.

  3. Ordinal numeral - Wikipedia

    en.wikipedia.org/wiki/Ordinal_numeral

    Ordinal indicator – Character(s) following an ordinal number (used when writing ordinal numbers, such as a super-script) Ordinal number – Generalization of "n-th" to infinite cases (the related, but more formal and abstract, usage in mathematics) Ordinal data, in statistics; Ordinal date – Date written as number of days since first day of ...

  4. List of types of numbers - Wikipedia

    en.wikipedia.org/wiki/List_of_types_of_numbers

    Such a number is algebraic and can be expressed as the sum of a rational number and the square root of a rational number. Constructible number: A number representing a length that can be constructed using a compass and straightedge. Constructible numbers form a subfield of the field of algebraic numbers, and include the quadratic surds.

  5. Numeral prefix - Wikipedia

    en.wikipedia.org/wiki/Numeral_prefix

    In Latin and Greek, the ordinal forms are also used for fractions for amounts higher than 2; only the fraction ⁠ 1 / 2 ⁠ has special forms. The same suffix may be used with more than one category of number, as for example the orginary numbers second ary and terti ary and the distributive numbers bi nary and ter nary .

  6. Von Neumann cardinal assignment - Wikipedia

    en.wikipedia.org/wiki/Von_Neumann_cardinal...

    The von Neumann cardinal assignment is a cardinal assignment that uses ordinal numbers. For a well-orderable set U , we define its cardinal number to be the smallest ordinal number equinumerous to U , using the von Neumann definition of an ordinal number.

  7. Order type - Wikipedia

    en.wikipedia.org/wiki/Order_type

    Every well-ordered set is order-equivalent to exactly one ordinal number, by definition. The ordinal numbers are taken to be the canonical representatives of their classes, and so the order type of a well-ordered set is usually identified with the corresponding ordinal. Order types thus often take the form of arithmetic expressions of ordinals.

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