If you were starting from nothing in 2026 and your only goal was to become as skilled and intellectually capable in programming as possible, how would you approach learning? Would you attend college, and if so, what major or course of study would you choose? Could a self-directed learner reach a deeper understanding of computers and mathematics than a typical university student? Ignore employment prospects, salary, work-life balance, and other practical concerns—I'm interested purely in mastering programming, computer science, and the mathematical ideas behind them.
4 Answers
I’d combine formal study with varied practical experience. One possible approach would be alternating a year of university courses with a year of programming work, trying a different area each time. The strongest engineers I’ve met usually have both a solid academic foundation and experience solving unfamiliar problems in different environments. Grades matter less than genuine understanding and sustained curiosity.
A degree can provide structure, deadlines, feedback, and a broad foundation, but it won’t make you a great programmer by itself. Most of the real development comes from independent study and building things. A self-directed curriculum based on computer science fundamentals can cover much of the same material, but theory needs to be paired with constant practice. Early on, you may spend more time learning concepts; later, shift toward spending roughly 70–80% of your time implementing, debugging, and designing projects.
I’d study the foundations rather than chase whichever framework is popular. Learn mathematics—especially discrete math, logic, probability, linear algebra, and eventually calculus—alongside algorithms, data structures, computer architecture, operating systems, networks, compilers, and programming language design. Working through projects such as building a simple computer from logic gates, writing an interpreter or compiler, and implementing systems from scratch would connect the theory to reality.
I’d read broadly and follow the history of the field. Books can be a great way to develop a deep mental model, though the best method depends on the learner. I’d explore different programming traditions, including minimalist operating systems, research-oriented languages, Lisp, Smalltalk, and language or systems design. The important thing is to keep asking why things work, not just memorizing APIs or copying solutions.
I’d also include philosophy of mathematics and science, especially questions about proof, abstraction, and whether mathematical structures describe reality or simply model it. That kind of reflection can make the technical subjects feel much more coherent.