User blog comment:Mh314159/A new notation for large numbers/@comment-39585023-20190611005344/@comment-35470197-20190611034238

To be fair, I would like to note that w^2 or w^3 in FGH is not so small as potatoes, but is much bigger than the universe. Just TREE(3) is much much bigger.

Biginners can reach w after learning hyper-operators. They can reach w^2 after learning recursion like FGH. They can reach w^w after learning several notations. They can reach w^w^w after learning several structures like nesting. They can reach e_0 after learning difficult stuffs such as ordinals and Cantor's normal form. They can reach G_0 after learning Veblen hierarchy. They can reach SVO or BHO after learning OCFs. This is an example to go beyond SVO. You can go this (or similar) way in a step-by-step training. Good luck!