User blog comment:Bubby3/FGH on ordinals/@comment-32783837-20171127015043/@comment-32876686-20171127020908

True, but Bubby3 is taking the applicable general rule of $$f_1(n)$$ for finite $$n$$ and extending it to transinfinite $$n$$. His results therefore aren't entirely accurate, but they allow us to use the fast-growing hierarchy in a novel way; like the inaccurate but much touted 'proof' that $$1+2+3+4+5+\ldots=-\frac{1}{12}$$.