User blog comment:P進大好きbot/Historical Background of the Ill-definedness of UNOCF/@comment-31040770-20191005032523/@comment-35470197-20191005034724

Could you understand that you are not "everyone". Indeed, I observed the circular logic still now. If nobody did the circular logic, I would not have to explain the problem.

Well, do you think that you are not the one who misunderstood the problem? Since you are so proud of the ability to "analyse" function using UNOCF, I am certain that you are not understanding it. Estimating existing functions by ill-defined functions like UNOCF is worse than doing nothing. I guess that the main reason why people do not study actual OCFs is because UNOCF users state "it is stronger than other OCFs" or "analyse" equivalent notions using UNOCFs even though they themselves do not know actual ordinal notation systems associated to OCFs.

For example, do you have at least one definition of an ordinal notation associated to an OCF?