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If using these definitions:

ß(0)=1

ß(α+1)=Φ(ß(α)+1,0)

ß(α)=lim[γ>α-]ß(γ)

Would ß(ω)=\(\Gamma_{0}\)?

I think so, but I'm not sure.

(Answered!)

In the extended veblen hierarchy (for transfinite variable counts), how would you express \(\underset{\alpha\rightarrow\omega^{-}}{lim}\varphi_{\Omega^{\omega}}(1,\underset{\alpha}{\underbrace{0,0,...,0,0}})\)?

Answered!


No more questions right now.

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