Infinite tetration and superroot of infinitesimal

[Gottfried]

A lot of orthodox mathematicians say that it is not inversible (!?!),

"inver-t-ible"

This time, I go and drink a "koke", or a "cola", as you say in Germany.

"coke" or "latte macchiato" ...

If tetration is defined as iterated exponentiation, with
y = a_n^a_(n-1)^...^a_2^a_1^a_0
and a_1=a_2=a_3=...=a_n =b, a_0=a , thus y = b^...^b^b^a
then the partial-expression argument, from which the multivaluedness of tetration is denied, is removed by a clean definition.

We should initiate an international campaign on this subject
(Are NGO's allowed as consultants at MAA?)

Gottfried