Think in Math. Write in Code.

Programming languages are implementation tools, not thinking tools. Mathematical reasoning provides a flexible, constraint-free medium for solving computational problems before writing code. The article argues that steps like problem understanding and solution design should happen in mathematical terms first, allowing developers to focus on optimal implementation choices afterward. It demonstrates how mathematical abstraction enables multiple perspectives on the same concept (unlike rigid code abstractions), delays representation decisions until requirements are clear, and helps identify hidden assumptions through formal definitions and proofs.