Mathematics was invented by the human mind to minimize waste and maximize work productivity. By allowing reality mapping abstractions to take precedence over empirical falsifications of propositions.

And what most people can't do, such as keeping in their heads absolutely all the concepts of a theoretical computer software application, is an indication that real programmers exist on a higher elevation where information technology is literally second nature to them. To put it bluntly and succinctly.

For computer software development to be part of thinking, a more intimate fusion between man and machine needs to happen. Instead of the position that a programmer is a separate and autonomous entity from his fungible software.

The best programmers simulate machines in their heads, basically.