>>16899753
because of well-foundedness and induction

>>16899753
isn’t pic related supposed to be a added up b times?

>>16899753
Multiplication is the strictification of products (Cartesian products) in the category of finite sets. Addition is the strictification of coproducts (disjoint unions) in FinSet. Exponentiation is the strictification of the exponential object (set of functions from one set to another). Basic stuff, anon.

>>16899768
only if a=b

>>16899753
Addition is group with identity equal to 0
Multiplication is group with identity equal to 1
You never described what you mean by bias anywhere in your post so assume the bias is towards working with 1 than 0.

>>16899826
Monoid, not group.

OP that's just shorthand.
Same thing with fractions.

>>16899753
The "n times" in this context means recursion, an application of the most important theorem (Dedekind, 1888) in the construction of the number systems from set theory
https://proofwiki.org/wiki/Principle_of_Recursive_Definition

>>16899768
No. It's a instances of b. That's standard interpretation.

>>16899826
>>16899897
I think anyone with an IQ higher than the current snowstorm can deduce from context clues (the use of "repeated n times" ad nauseam) what OP meant by "bias."

>>16899753
Capitalism

>>16899753
I have never in my life encountered tetration.

>>16900530
this

>>16899753
it's also a b times you absolute fool