Cheese numbers

The cheese numbersMumuji, Cheese Numbers. Retreived 00:20, 31 May 2021 (UTC). are a hierarchy of numbers coined by googology wiki user Mumuji.
The system is ill-defined as we will explain later, and hence the numbers are ill-defined.
== Definition ==
We copy the definition from the original source:
:It starts as follows:
:c_1 = f_{22222222222}(22222222222222222222222)
:c_{n +1} = f_{gamma_{gamma_{c_n}}(c_{n})
:Where gamma is the gamma in the gamma nought ordinal.
:And _ is subscript
:And f is FGH.
:n-cheese numbers
:1-c_m = c_m
:n-c_m = c_{((n-1)-c_m)}
:After the equals sign, the first - is minus and second is for the nth n-cheese number.
We will explain problems of the original definition in the next section.
== Issues ==
Similar to other articles based on personal websites which are not peer-reviewed, the system has many errors. For example, the use of variables without quantification makes the definition ambiguous. The lack of a fixed definition of fundamental sequences makes the fast-growing hierarchy ill-defined.
Due to the lack of the precise quantification of a variable and the precise definition of the domain, there are two ways to compute 1-c_1: 
# It can be evaluated as c_1 by the first rule.
# It can be evaluated as c_{0-c_1} by the second rule.
However, 0-c_1 is ill-defined because the rule yields an infinite loop.
It is a common mistake for googologists to only specify rules to evaluate without specifying the domain. Since the notion of a function is defined as a pair of the domain and the assignment, the lack of the domain makes the function ill-defined in the way above.
== Intended behaviour ==
Here, we copy explanation by the creator:
:According to the definition, it means:
:\(c_0 = f_{22222222222}(22222222222222222222222)\)
:\(c_{n+1} = f_{\Gamma_{\Gamma_{c_n}}}(c_{n})\)
:It can be extended as the following:
:\(1-c_m = c_m\)
:now for the nth cheese number:
:\(n-c_m = c_{((n-1)-c_m)}\)
So, this means that for something like \(3-c_3\), we compute it as follows:
\(3-c_3 = c_{(2-c_3)}\) and so on.
Unfortunately, the explanation is incorrect. For example, the value of c_1 deffers from the original one, and the value of c_0 was not defined in the original definition.
==References==
Category:Numbers
Category:Functions
Category:Incomplete
Category:Numbers and functions by Mumuji
Category:Class disputed
Category:Food-based name
Category:Naive extensions