User blog comment:Dchew89/Possible (Uncomputable) Function with Growth Rate of w 1^CK/@comment-35470197-20190213072103

The definition is quite ambiguous. What does "function" in your context? Any (possibly uncomputable) function? What does "previously defined" precisely (formally) mean? For example, if you accept any funcion. Also, \(\omega_1^{\textrm{CK}}\) in FGH is much greater than BusyBeaver function. If we believe that your function goes beyond any recursive ordinals, it does not imply that the growth rate of your function is approximately the same as that of \(\omega_1^{\textrm{CK}}\) in FGH.