The small Veblen ordinal or or is the limit of ordinals that can be described using a version of Veblen functions with finitely many arguments. It is the ordinal that measures the strength of Kruskal's theorem. It is also the ordinal type of a certain ordering of rooted trees (Jervell 2005).
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“But with some small portion of real genius and a warm imagination, an author surely may be permitted a little to expand his wings and to wander in the aerial fields of fancy, provided ... that he soar not to such dangerous heights, from whence unplumed he may fall to the ground disgraced, if not disabled from ever rising anymore.”
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