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Getting C(0)

http://googology.wikia.com/wiki/Hardy_hierarchy

This way, C(0) = ε0, as the limit of α --> ωα

Up to C(Ω)

If ε0 = ωωω...(ω levels) = C(0), then ωωω....C(0)+1 (ω levels) = C(1), then ωωω....C(α)+1(ω levels)  = C(α+1).

This way, C(Ω) = ζ0

Beyond

C(α) = Ψ(α).

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