This category includes articles on numbers by Googology Wiki user Yabuszko in the factorial notation and Extensible ! Notation[1]. As p進大好きbot pointed out, many of them defined in Extensible ! Notation are ill-defined because of the following reasons:[2]

  1. There is no rule applicable to 3![4,1,5].
  2. The rule 8 in lEN is quite ambiguous.
  3. There are two distinct rules applicable to 3![#,#,#] (The rules 3 and 8 in lEN.), and the source clarified that the uupermost applicable rule in lEN should be applied. However, there is no rule applicable to the result 3![#,3,3] of the rule 3.
  4. There is no rule applicable to 3![#+0→4].
  5. There are two distinct rules applicable to 3![#→4] (The rules 1 and 3 dEN). Also, application of the rule 1 gives 3![#,#,#,#], which is ill-defined by the same reason as 3![#,#,#], and application of the rule 3 gives 3![4→4], which is an invalid expression.
  6. There is no rule applicable to 3![# →#+0 4].

Also, p進大好きbot pointed out that the analyses in the source would be wrong even if they were well-defined.


Sources

  1. Yabuszko, morethanfactorial, google site.
  2. A difference page of the talk page of Yabuszko.

All items (34)

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