A **Large Veblen ordinal** is a concept in set theory and ordinal analysis, specifically related to the study of large cardinals and the hierarchy of ordinals. The Veblen functions are a family of functions that extend the concept of ordinals beyond the traditional limits, allowing for the definition of extremely large ordinals. Veblen functions are defined using transfinite recursion and can produce ordinals that are larger than those obtained from standard operations.
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