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  2. Ordinal number - Wikipedia

    en.wikipedia.org/wiki/Ordinal_number

    To define this set, he defined the transfinite ordinal numbers and transformed the infinite indices into ordinals by replacing ∞ with ω, the first transfinite ordinal number. Cantor called the set of finite ordinals the first number class. The second number class is the set of ordinals whose predecessors form a countably infinite set.

  3. Ordinal numeral - Wikipedia

    en.wikipedia.org/wiki/Ordinal_numeral

    Ordinal numbers may be written in English with numerals and letter suffixes: 1st, 2nd or 2d, 3rd or 3d, 4th, 11th, 21st, 101st, 477th, etc., with the suffix acting as an ordinal indicator. Written dates often omit the suffix, although it is nevertheless pronounced.

  4. Ordinal indicator - Wikipedia

    en.wikipedia.org/wiki/Ordinal_indicator

    In written languages, an ordinal indicator is a character, or group of characters, following a numeral denoting that it is an ordinal number, rather than a cardinal number. In English orthography , this corresponds to the suffixes ‑st , ‑nd , ‑rd , ‑th in written ordinals (represented either on the line 1st , 2nd , 3rd , 4th or as ...

  5. Transfinite number - Wikipedia

    en.wikipedia.org/wiki/Transfinite_number

    Definition. Any finite natural number can be used in at least two ways: as an ordinal and as a cardinal. Cardinal numbers specify the size of sets (e.g., a bag of five marbles), whereas ordinal numbers specify the order of a member within an ordered set (e.g., "the third man from the left" or "the twenty-seventh day of January").

  6. Ordinal arithmetic - Wikipedia

    en.wikipedia.org/wiki/Ordinal_arithmetic

    When the right factor β = 0, ordinary multiplication gives α · 0 = 0 for any α. For β > 0, the value of α · β is the smallest ordinal greater than or equal to (α · δ) + α for all δ < β. Writing the successor and limit ordinals cases separately: α · 0 = 0. α · S(β) = (α · β) + α, for a successor ordinal S(β).

  7. Ordinal data - Wikipedia

    en.wikipedia.org/wiki/Ordinal_data

    Ordinal data is a categorical, statistical data type where the variables have natural, ordered categories and the distances between the categories are not known. [1] : 2 These data exist on an ordinal scale, one of four levels of measurement described by S. S. Stevens in 1946. The ordinal scale is distinguished from the nominal scale by having ...

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