Programmers often get caught up in debates about programming languages, treating them as extensions of personal identity. However, the article argues that programming languages are primarily tools for instructing machines, not for expressing complex ideas. While programmers may have a passion for language design, they overlook that these languages come with inherent limitations. The true medium for thinking about computation is mathematics, which many people misunderstand as intimidating and rigid. In reality, math offers a flexible framework for modeling real-world problems through logical structures. The article outlines a typical programming process: identify a problem, design algorithms and data structures, then implement and test them. Steps one and two are where most effort lies, yet they don't naturally align with programming languages. Programmers often struggle to express their designs in code, leading to messy and ineffective solutions. Effective problem-solving requires a mathematical approach before diving into implementation, allowing for better code quality by clarifying the end goal. Programming languages can hinder abstract thinking because they are closely tied to implementation details. The article highlights the limitations of common programming practices, like using SQL, which forces programmers to think in terms of tables and rows rather than the underlying problem. Black boxes in engineering serve to hide complexity but can create rigidity, limiting how problems can be approached. In contrast, mathematical abstraction encourages fluidity, allowing one to shift perspectives and explore problems through various lenses, such as geometric or algebraic interpretations. Ultimately, the article emphasizes that while programming languages efficiently package code, they fall short in facilitating the kind of abstract thinking needed for effective problem-solving. The rigid nature of these languages restricts how data is represented and how solutions are crafted. Embracing the flexibility of mathematical thought can enhance understanding and improve problem-solving skills in programming.