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• 19:41, 19 September 2022 EricABQ talk contribs created page Ordinal (Created page with "In set theory, the '''ordinal numbers''' or '''ordinals''' are an extension of the natural numbers that describe the order types of well-ordered sets. A set \( S \) is '''well-ordered''' if each non-empty \( T \subseteq S \) has a least element. ==Von Neumann definition== The Von Neumann definition of ordinals defines ordinals as objects in ZFC. Each ordinal \( \alpha \) is defined as the set of all ordinals less than \( \alpha \).")