Large Veblen ordinal

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

There is no standard notation for ordinals beyond the

The large Veblen ordinal is sometimes denoted by ${\displaystyle \phi _{\Omega ^{\Omega }}(0)}$ or ${\displaystyle \theta (\Omega ^{\Omega })}$ or ${\displaystyle \psi (\Omega ^{\Omega ^{\Omega }})}$. It was constructed by Veblen using an extension of Veblen functions allowing infinitely many arguments.

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