>Okay, how exactly? What practical problems can I solve with it? Can anyone demonstrate Poly being used somehow for a 1000-table database migration more elegantly than could be achieved using other methods? Is there an O(n^2) or O(exp(n)) scaling lurking in there somewhere, or is this the magic sauce we've all been looking for?
History has shown us that various mathematical concepts, such as imaginary numbers, initially seemed utterly useless upon their invention. Yet, they eventually found profound applications and significance.

In the realm of program design and organization, we find ourselves lacking a comprehensive theory. We lack a framework that determines the most optimal way to compose logic and structure code. To embark on this quest, we must first formally define what it truly means to be "more optimal." While theories for achieving optimal performance exist, we lack a cohesive theory that maximizes modularity, allowing code refactoring to be a seamless process of shifting and recomposing existing modules.

To establish a clear definition of optimality, we require precise and formally defined primitives that symbolize logic. With these foundations in place, we can subsequently develop a formal definition of what constitutes optimal program organization.

Once we have this definition, the next step is calculation. Given these logical primitives, how can we determine the most optimal arrangement of our programs? Calculation becomes possible only when the objective and all the relevant primitives are formalized within a symbolic language.

What lies at the heart of this matter is the potential elimination of the concept of "Design" as we know it. Nobody "Designs" the shortest distance between two points, instead, we calculate the shortest distance between two points with a theory of geometry. This is what I'm talking about: A future where we "calculate the design of programs."

"Design" is merely a label we attach to areas where we lack a formal theory. It represents the wild west of programming, where the absence of an understanding of optimality leads us to rely on haphazard guessing and intuition. This partially explains why the field of IT appears to continuously expand in complexity without ever converging on the perfect technology. Front-end development, in particular, suffers from this uncertainty, as nobody knows for certain if the current status quo is truly superior to previous approaches.

In short: A designer is just someone who makes lots of random guesses. That is the essence of design.

Category Theory, in its current form is mostly impractical. This is not that far from the area that calculus once occupied when it first was discovered. I also cannot definitively claim that category theory will, in the far or near future, provide us with a theory that enables program design through calculation. However, if any theory comes close to achieving this feat, it would undoubtedly be category theory. By formally defining a high-level perspective of logic using only a handful of primitives, it holds the potential to revolutionize our approach by taking the first Required step in developing a formal theory around this topic.

Perhaps it will prove to be futile in the end, or perhaps your reservations will be remembered alongside those who opposed progress throughout history. Recall those who dismissed complex analysis or calculus during their early stages as impractical and useless endeavors. I implore you to exercise patience and observe rather than waste your breath on something you may profoundly misjudge."