Algebraic Types Aren't Scary: A Simple Explanation Using Set Theory

This article provides a clear and accessible explanation of algebraic types, using the perspective of set theory where types are viewed as sets of values. It delves into product types (similar to structs or classes) and sum types (like Option or Result types), comparing their implementation in an interpreter using algebraic types versus object-oriented approaches (inheritance or the Visitor pattern). The author argues that algebraic types offer superior conciseness, readability, and maintainability, avoiding unnecessary complexity. The conclusion emphasizes product and sum types as fundamental ways to combine types, sufficient for most programming tasks.