I agree, the solution is not as simple as optimizing resource allocation. The problem is both social and economic in nature. The owners of production don’t just want money, they want power over others.

It’s because people’s wants have shifted as technology progresses. If everyone was satisfied to live like a medieval peasant and all we needed to produce was clean food/water we probably could have automated most of the agricultural work and done away with the need for the majority of labor.

But people today now want on-demand deliveries, entertainment, healthcare, telecommunications, international travel, etc. and they need to pay for these things somehow, which means work. These shifting desires continuously push the boundaries of what we are capable of producing which ends up redirecting labor rather than eliminating it.

Edit: thanks for the down votes everyone. I’m not saying this is the way it should be or that people should live like peasants, just explaining the basis of consumer/labor theory from economics 101. People typically get more utility out of the things they buy using their wages than they would from not working at all. Right now that’s mostly because society would let you starve to death, but even if there was UBI or something like it, there would always be some people who would want to work in order to buy more things for themselves.

People who are arguing that one way of expressing these concepts is easier to learn/understand than the other are missing the whole point. Mathematical notation was not designed to teach students how to do math or explain how to design algorithms. It was invented to communicate precise, abstract ideas concisely between mathematicians who already understand what the symbols mean.

Mathematicians require a notation that has the flexibility to manipulate mathematical objects/symbols in a way that naturally emphasizes their properties and relationships. Often they don’t even care whether the objects they’re studying are even computable or have a numerical representation. They just need them to have certain properties so that they can be manipulated appropriately.

Discrete sums are a rare example of when the mathematical notation overlaps with the description of an algorithm for computing its value (and the overlap is not even complete; infinite sums are easily represented in math notation but are practically uncomputable when implemented naively). Every other advanced mathematical concept puts a premium on ease of symbol manipulation over computability: integrals, derivatives, matrix multiplication, abstract algebra, etc.

TL;DR math notation is complex because its intended audience is people who already understand it, want maximum flexibility of symbol manipulation, and historically didn’t really care about practical computation.

What is this optimized cmatrix you speak of? The normal one slows my desktop to a crawl when it runs.