Besides its foundational role, set theory also provides the framework to develop a mathematical theory of infinity, and has various applications in computer science (such as in the theory of …

Dec 12, 2025 · Set theory, branch of mathematics that deals with the properties of well-defined collections of objects such as numbers or functions. The theory is valuable as a basis for …

A set is a collection of things, usually numbers. We can list each element (or member) of a set inside curly brackets like this

Jul 23, 2025 · This section introduces the basics of Set Theory, helping you understand key concepts like types of sets, set operations, and important formulas through clear examples …

Jan 31, 2026 · Set theory began with Cantor's proof in 1874 that the natural numbers do not have the same cardinality as the real numbers. Cantor's original motivation was to give a new proof …

At its most basic level, set theory describes the relationship between objects and whether they are elements (or members) of a given set. Sets are also objects, and thus can also be related to …

This work played an important role in the development of topology, and all the basics of the subject are cast in the language of set theory. However sets are not just a tool; like many other …

Supplement to Set Theory Basic Set Theory Sets are well-determined collections that are completely characterized by their elements. Thus, two sets are equal if and only if they have …

Set theory is important mainly because it serves as a foundation for the rest of mathematics--it provides the axioms from which the rest of mathematics is built up. The most straightforward …

In mathematics, a set is defined as a well-defined collection of objects. Sets are named and represented using capital letters. In the set theory, the elements that a set comprises can be …