Since Bashicu Matrix System is so strong, I divide the analysis in parts.
This first part will cover analysis of Primitive Sequence System in FGH (Fast Growing Hierarchy)
This is NOT meant to be accurate.
Up to ωω[]
If ordinal α is the FGH ordinal, it's a shorthand for fα(n).
Bashicu Matrix System | FGH Ordinal |
---|---|
(0)[n] | 2 |
(0)(0)[n] | 3 |
(0)(0)(0)[n] | 4 |
(0)(1)[n] | ω |
(0)(1)(0)[n] | ω+1 |
(0)(1)(0)(1)[n] | ω2 |
(0)(1)(0)(1)(0)(1)[n] | ω3 |
(0)(1)(1)[n] | ω2 |
(0)(1)(1)(0)(1)(1)[n] | ω22 |
(0)(1)(1)(1)[n] | ω3 |
(0)(1)(1)(1)(1)[n] | ω4 |
(0)(1)(2)[n] | ωω |
Under Construction