Zettinimah

Zettinimah is equal to \(f_{\psi_{I(0,0)}(\tau[10^{21}])}(10)\), where \(f\) is the fast-growing hierarchy using this system of fundamental sequences, \(\psi\) denotes this ordinal collapsing function, \(\tau[0]=I(0,0)\), and \(\tau[n+1]=I(\tau[n],0)\), where \(\tau\) is the first fixed point of \(\alpha \mapsto I(\alpha , 0)\). The term was coined by Denis MaksudovUser blog:Denis Maksudov/My system of number names (Fast Growing Series, FGS)#Section VI. Fundamental sequences for the functions collapsing .5C.28.5Calpha.5C.29-weakly inaccessible cardinals.
== Etymology ==
The 4 parts of the name, "zett", "in", "im", and "ah", mean 1021, the in- operation, \(\alpha\)-weakly inaccessible cardinals, and a collapsing function \(\psi_{I(0,0)}\) for them, which form \(\tau[10^{21}]\) when concatenated backwards. So the full name indicates how the number is constructed.
== Sources ==
== See also ==
Category:Numbers
Category:Numbers by Denis Maksudov
Category:10-based FGH numbers
Category:Higher computable level