The cursed cycle of perfectionism in software development has long plagued developers. We strive for perfection, using the latest technologies, and refining every detail. However, this relentless pursuit of excellence leads to an infinite loop: we continually discover new, better ways to do things, but never quite complete the project. A more effective approach is to define the design and implementation early on, which is suitable for large-scale systems but tedious for smaller ones. Agile development emerged as an extension of this traditional approach, simplifying the process for smaller teams by integrating design and development work. However, for large-scale development, a viable strategy has yet to be discovered.
A few years ago, I read several books on Domain-Driven Design, a development pattern that offers a good solution but requires high team cohesion and is slow-paced. Other development patterns require learning new concepts, which is expensive and demands a lot of time. Thankfully, a universal concept exists that can be used immediately – mathematics. Yes, you read that right, mathematics. While your parents may not know how to write software code, they can derive the same results using mathematical methods. When inspecting our software's structure and logic, we're merely applying mathematical theories in reality.
Modern design ideals display a strong affinity for mathematics. It's high time to return to pure mathematical conceptions. Function programming is another way to put this ideology into practice. This is why we should start by writing a function from a definition. This is, essentially, a mathematical concept. Mathematics is all about definitions, and strictly defined theories provide a sound foundation for proof, using a set or logical framework to construct a reliable, stable system architecture with powerful restrictions, each component thoroughly intertwined without worrying about the intricate implementation details.