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).
Famous quotes containing the word small:
“Here was a little of everything in a small compass to satisfy the wants and the ambition of the woods,... but there seemed to me, as usual, a preponderance of children’s toys,—dogs to bark, and cats to mew, and trumpets to blow, where natives there hardly are yet. As if a child born into the Maine woods, among the pine cones and cedar berries, could not do without such a sugar-man or skipping-jack as the young Rothschild has.”
—Henry David Thoreau (1817–1862)