The article "4 Software Design Principles I Learned the Hard Way" on Engineers Codex discusses essential software design principles that the author, Tushar Jain, learned through personal experience. These principles include: 1) Start with a monolith and only move to microservices if necessary to avoid premature optimization; 2) Keep it simple and avoid over-engineering by using fewer abstractions and simpler code; 3) Make it work first before trying to make it efficient, focusing on correct functionality over performance in initial stages; and 4) Avoid rewriting code from scratch unless absolutely necessary as it's often better to refactor incrementally. These insights aim to help other developers avoid common pitfalls in software development.