User blog comment:89Pepsi Polka/the hyper-square hierarchy/@comment-30118230-20180218130035

This is not nearly well-defined.

What does "the concatenation of C n-times" mean? Does is mean a string of CC......CC with n Cs or something else? What is $$\in_1$$? How can you have a minimum on a supremum? Also,if you use supremums like that,you will get infinite ordinals,not finite numbers. Maybe you meant the nth element in that set?