Why is there a bias for multiplication?>What's addition?>That's the successor repeated n TIMES>What's multiplication?>That's addition repeated n times>What's exponentiation? Tetration? Pentation? A hyperoperation? Fuck it, what's recursion?>Repeat it n times
>>16899753because of well-foundedness and induction
>>16899753isn’t pic related supposed to be a added up b times?
>>16899753Multiplication 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.
>>16899768only if a=b
>>16899753Addition is group with identity equal to 0Multiplication is group with identity equal to 1You never described what you mean by bias anywhere in your post so assume the bias is towards working with 1 than 0.
>>16899826Monoid, not group.
OP that's just shorthand.Same thing with fractions.
>>16899753The "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 theoryhttps://proofwiki.org/wiki/Principle_of_Recursive_Definition
>>16899768No. It's a instances of b. That's standard interpretation.
>>16899826>>16899897I 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."
>>16899753Capitalism
>>16899753I have never in my life encountered tetration.
>>16900530this
>>16899753it's also a b times you absolute fool