The Category of Sets

The Category of Sets is a foundational idea in mathematics that considers all sets—collections of objects—as the basic units. In this framework, objects are sets, and the relationships between them are functions (rules linking elements of one set to another). This perspective allows mathematicians to study the structural properties and how sets relate to each other systematically. Think of it as a way to organize and understand collections and their connections, providing a unifying language for many areas of mathematics.