User blog comment:Ubersketch/Collapsing the first 1-dinal/@comment-35470197-20190702215756/@comment-35470197-20190703013313


 * 1) You have proposed a new theory of higher sets and higher classes.
 * 2) But you have never defined the full collection of the axioms.
 * 3) Therefore others need to assume that you assumed the axioms in usual set theory in which sets and classes can be dealt with.
 * 4) In the usual set theory, a proper class can never be a member of another object by the definition, even if you want to call it a higher set or a higher class.

For example, I have told you many times to clarify the base theory if you want to work in a theory other than ZFC, but you always ignore the recommendation. Why? You can say something like "Although I did not write explicitly, my axioms are not the one which you guessed" as long as you refuse to clarify the base theory. In order to avoid such a non-sense, you need to clarify the base theory.