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2. Ordinal number - Wikipedia

   en.wikipedia.org/wiki/Ordinal_number

   The original definition of ordinal numbers, found for example in the Principia Mathematica, defines the order type of a well-ordering as the set of all well-orderings similar (order-isomorphic) to that well-ordering: in other words, an ordinal number is genuinely an equivalence class of well-ordered sets.

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. Category:Ordinal numbers - Wikipedia

   en.wikipedia.org/wiki/Category:Ordinal_numbers

   Download as PDF; Printable version; In other projects ... Pages in category "Ordinal numbers" The following 51 pages are in this category, out of 51 total.

5. Zero-based numbering - Wikipedia

   en.wikipedia.org/wiki/Zero-based_numbering

   Under zero-based numbering, the initial element is sometimes termed the zeroth element, [1] rather than the first element; zeroth is a coined ordinal number corresponding to the number zero. In some cases, an object or value that does not (originally) belong to a given sequence, but which could be naturally placed before its initial element ...

6. Even and odd ordinals - Wikipedia

   en.wikipedia.org/wiki/Even_and_odd_ordinals

   In fact, the even ordinal ω + 4 cannot be expressed as β + β, and the ordinal number (ω + 3)2 = (ω + 3) + (ω + 3) = ω + (3 + ω) + 3 = ω + ω + 3 = ω2 + 3. is not even. A simple application of ordinal parity is the idempotence law for cardinal addition (given the well-ordering theorem). Given an infinite cardinal κ, or generally any ...

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