User blog comment:Ecl1psed276/Growth rate of oracle Turing machines/@comment-35470197-20190714085120/@comment-35470197-20190714150551

I mean that \(f_{\omega_1^{\textrm{CK}}}\) with respect to Kleene's \(O\) is much bigger than \(BB\). It is perhaps much bigger than the \(10^{100}\)-th oracle \(BB\).

Why do you think that \(BB\) were approximated by \(f_{\omega_1^{\textrm{CK}}}\) with respect to Kleene's \(O\), and \(BB_2\) went beyond it?