I dont want to get too far into a joint and doritos speculation here, but I wonder if the fact that humans have a very small capacity for holding multiple objec

I dont want to get too far into a joint and doritos speculation here, but I wonder if the fact that humans have a very small capacity for holding multiple objects in their minds, a small number of physical digits, and excellent visual acuity is why we do a lot of math the way we do. Group theory comes out of symmetry for example. Algorithms come out of linear stepwise problem solving. It takes us considerable mental effort to think about problems in ways that are not like this. An example that stayed with me for years is when Adelman of RSA fame considered whether DNA could be used as a computer. (Spoiler: yes). It basically does all the computations at once, and then discards all the non optimal solutions.