User blog comment:Flitri/An ordinal Collapsing up to the Least weakly Mahlo Cardinal/@comment-35470197-20190409053305/@comment-25216794-20190409141937

Alright, sure:

1) I meant to define F as a set of functions.

2) that alpha parameter refers to an outside ordinal as in the case of the Omega indexed numbers.

3) Distance in this case is not a metric just a informal statement on the relative size of each enumerated ordinal in respect to each other

4) L[v] is the associated limit ordinal with some other ordinal v, recall that N is the set of a Natural Numbers so little omega is the  limit of that sequence.

5) My mistake it was meant to be Aleph number for the second omega.

6) My bad meant to be L[v].

7) That omega the the smallest regular fixed point of the x -> Omega(x) function, which the psi function never reaches akin to the first level psi function which never reaches Big Omega. It is indexed.

8) I am not quite sure why I can’t used that considering that Most ordinal collapsing functions use a similar means of getting to larger ordinals, could you explain that better?

9) What exactly makes these rules ill-defined?