User blog comment:MachineGunSuper/The Salad Function/@comment-32783837-20180210150351

This is unbelievably ill-defined.

"Uncomputable number" is not a solidly defined range, it's a concept.

Also, no matter how hard you try, you CANNOT diagonalize over the concept of a describable system of computation. It doesn't work. And saying "the fastest growing function ever defined" is also ill-defined, because that will change over time, as more and more people contribute. For example, define a modified version of the fast-growing hierarchy Sα(n) such that S0(n) = Sasquatch, but the "12↑↑12" in its definition is replaced by n.

And for any number n, there could be an uncountable number of number systems such that n solves to 1. For example, n-(n-1). Then your RSalad(1) becomes roughly Salad(1)×2. And simply saying that the function would be "a fast-growing function" doesn't help anybody.

Sorry, but unless I missed anything, this is the worst attempt at defining something you've made to date. It's an attempt at a game-breaker, and nobody likes those.