User blog comment:Vel!/FGH Gripe/@comment-30754445-20170220134751/@comment-1605058-20170220145408

""It grows like ordinal X on the FGH" do have a well-defined meaning" I'm interested to hear what that well-defined meaning is.

As for dependence on fundamental sequences, it has been shown that the slow-growing hierarchy's rate of growth does depend on the choice of fundamental sequences (even if they are naturally chosen). In my opinion, this is evidence that the same might happen to FGH. Sure, we don't know whether it does, but in my opinion a neutral standpoint is that if something happens to SGH, there is a risk of it happening to FGH, and we should accept this as a possibility unless someone shows it's not.

As for the initial "the only thing I care about is whether a statement is true or not" - how can a statement which carries no meaning be either true or false?