Large Veblen ordinal

In mathematics, the large Veblen ordinal is a certain large countable ordinal, named after Oswald Veblen.

Most systems of notation use symbols such as ψ(α), θ(α), ψα(β), some of which are modifications of the Veblen functions to produce countable ordinals even for uncountable arguments, and some of which are ordinal collapsing functions.

The large Veblen ordinal is sometimes denoted by

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