Set Theory Foundations

Set theory is a branch of mathematical logic that studies collections of objects, called sets, which are considered fundamental building blocks of mathematics. It provides a formal language to define, analyze, and manipulate these collections, establishing clear rules and principles. These rules form the foundation for understanding numbers, functions, and other mathematical concepts. Essentially, set theory helps mathematicians reason rigorously about how objects relate and group together, creating a universal framework that underpins much of modern mathematics and logic.