Set (mathematics)

A set in mathematics is a collection of distinct things, called its elements or members, which are typically other mathematical objects such as numbers, points, shapes, variables, functions, or even other sets. Mathematics does not attempt to define precisely what a set is in more basic terms; instead, sets serve as foundational objects whose behavior is described by axioms drawn from ordinary intuition about collections, and virtually every other mathematical object is then built up rigorously in terms of sets. Set theory is the branch of mathematics that studies these possible axiom systems and their consequences, and since the first half of the twentieth century the axiom system most commonly used has been Zermelo-Fraenkel set theory with the axiom of choice, known as ZFC. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/