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Anonymous01/26/26, 19:20No.16899753
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
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Replies
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Anon01/26/26, 19:34No.16899761
because of well-foundedness and induction
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Anon01/26/26, 19:50No.16899768
isn’t pic related supposed to be a added up b times?
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Anon01/26/26, 20:23No.16899787
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.
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Anon01/26/26, 21:37No.16899826
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.
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Anon01/27/26, 03:22No.16899950
OP that's just shorthand.
Same thing with fractions.
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Anon01/27/26, 03:55No.16899979
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
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Anon01/28/26, 02:22No.16900530
Capitalism
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Anon01/28/26, 14:54No.16900752
I have never in my life encountered tetration.