User blog comment:ArtismScrub/Generalizing the fast-growing hierarchy towards positive real heights/@comment-32876686-20180125203146

Why not the simpler fast-growing analytic hierarchy definition of:


 * \(f_{\alpha}(n)=n+1\) if \(0\leq n<1\)
 * \(f_{\beta}(n)=f_{\beta-1}^n(n)\) if \(\beta\geq 1\) ?

Also, this has been done before.