Reverse math shows why hard problems are hard

https://www.quantamagazine.org/reverse-mathematics-illuminates-why-hard-problems-are-hard-20251201/

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From Finite Integral Domains to Finite Fields

https://susam.net/from-finite-integral-domains-to-finite-fields.html

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So I've got a new theory. Kids are some form of natural verbal noise generator.

A Kid, like K1, has a function k1 associated with it which generates speech noise. The function varies from kid to kid and we can say it's probably unique to each kid.

Now imagine if we have two kids, K1 and K2 with functions of k1 and k2. When they come together, the combined noise generator function is not simply a linear sum of k1 + k2. The relation is rather quadratic. That is if we denote the combined function as k', k' is k1*k2.

When we generalize this theory to more than two kids, the combined function, k', would be a multiplication of all individual functions.

Naming the data kids generate "noise" does not say it's negative. You know rain sound, water flowing sound and the sound of sea are also noise, yet we enjoy them.

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