User blog comment:Alemagno12/''Beyond standard ordinal notation''/@comment-32697988-20180331220640

Seems like a good idea, but I think that before going in to stage cardinals we should go back to the inaccessible and malho collapsing function, because not every googologist understands it. There are some blog posts about ocf beyond psi(psi_I(0)) like Deedlit11's Ordinal Notations IV, V, VI ,and CatIsFluffy's Introduction to OCFs, however they show OCFs with different definitions, and there are a few things that are not clear enough like whether the limit of psi(I), psi(I_2), psi(I_3), psi(I_4),... is psi(I_w) or psi(psi_I_w(0)). Also, although there seems to be many people that understands OCF up to the first inaccessible, very few people understand OCF that collapse Malho cardinals or WCCs. So, if we start creating a new OCF now, they will be the people that will make the definition, and it's possible that it will be something hard to understand. So, instead of trying to extend the current OCF (up to WCC collapsing) to stage cardinals, we should go back to, for example, the BHO, make a easy-to-understand OCF, make a blog post about that OCF that has examples to help people understand and then move on to inaccessibles, malho, compact, etc.