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The large Veblen ordinal is a large countable ordinal. In the Veblen hierarchy as extended to transfinitely many arguments, it is the first fixed point of $$\alpha \mapsto \varphi_{\Omega^\alpha}(0)$$. Using Weiermann's $$\vartheta$$ function, it can also be denoted $$\vartheta(\Omega^\Omega)$$ and is the first fixed point of $$\alpha \mapsto \theta(\Omega^\alpha)$$. Additionally, using Madore's psi function, it is equal to $$\psi(\Omega^{\Omega^\Omega})$$.

Jonathan Bowers mentioned "LVO-order set theory" while discussing hypothetical ways to beat Rayo's number.[1]

## Sources Edit

1. Bowers, Jonathan. Going to Oblivion. Retrieved 2016-12-14.