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Cantor's ordinal $$\zeta_0$$ (pronounced "zeta-zero", "zeta-null" or "zeta-nought") is a small countable ordinal, defined as the first fixed point of the function $$\alpha \mapsto \varepsilon_\alpha$$.[1]

It is equal to $$\varphi(2,0)$$ using the Veblen function.

## Sources Edit

1. Saibian, Sbiis. The Fast Growing Hierarchy Below Cantor's Ordinal. Retrieved 2015-04-18.