User blog comment:MilkyWay90/Not-Registered Users, tell your Googology ideas in the comments/@comment-2601:142:2:EC49:247C:A73D:AD4A:5ED9-20180803125948/@comment-2601:142:2:EC49:B8E6:B687:221B:3E14-20180804204455

@PsiCubed2

The (k+1)th level of the system adds the simplest possible new idea, while still making the previous level substantially more powerful.

You nailed it. Boom. Function solved. Everybody else can just leave. (jk. jk. jk.)

Thanks for this thorough analysis, btw! You pretty much nailed what I was going for, although one more thing that I want to clear up is that my idea for <5,n> and up would be what you called the "bold route."

@Syst3ms

Will do ASAP. If you see a "JoopaJoopaOompaLoompa" on the googology wiki, that's me. Or somebody else who stole my username before I could.