User blog comment:Mh314159/new YIP notation/@comment-39585023-20190714235606/@comment-35470197-20190719023446

Uh, sorry if I discouraged you... Actually, it is very difficult for all googologists to go beyond their current level. We usually need trying new strategies or studying new theories.

You are standing at level 8 in my googological ruler, which is designed so that we need new stuffs in order to add 1 to the level. Level 8 is supposed to the level for googologists who can heavily iterate notations in various complicated ways. In order to reach level 9, we usualy use notations of ordinals, or theoretic strategy which ensures the strength, because each single trial to complicate iterations can cause at most multiplying \(\omega\) to the ordinal in FGH. Then if we add \(100\) more symbols and rules in a similar way, the resulting system might corresponds to ordinals smaller than \(\omega^{100}\). That is why there is a big wall before \(\omega^{\omega}\). In order to go beyong \(\omega^{\omega}\), we need new strategies, which are not just iterating the current notation. Therefore this is a big chance for you to learn new googological stuffs.

Maybe analysing other notations weaker than your current level can help you to understand how to strength your notation. Through the observation, you can understand why your notation is stronger than them, and what you can learn next.