User blog comment:Nayuta Ito/Is this bigger than Rayo's number?/@comment-27513631-20180504234554


 * I can barely interpret what f is defined as.
 * The definition is very inelegant and somewhat hard to understand. Defining terms of FOL by numbers directly is an ugly method; I recommend context-free grammars.
 * The system is proof-based and is hence much weaker than Rayo's number. See "is not provable with A" in the definition of f
 * The system, as translated, isn't really well-defined - there are no definitions of what 16, 48 and 80 are? I assume that 16 is xor, 48 is uniqueness quantifier, and 80 is true, as these are the obvious choices.
 * A is used both as an arbitrary axiom and as Peano arithmetic, so it's unclear what this actually means.
 * A_ZFC is not the standard notation of any theory, regardless of A.