Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects. Although objects of any kind can be collected into a set, set theory — as a branch of See more

Set theory begins with a fundamental binary relation between an object o and a set A. If o is a member (or element) of A, the notation o ∈ A is used. A set is described by listing elements separated by commas, or by a characterizing property of its elements, within … See more

Many mathematical concepts can be defined precisely using only set theoretic concepts. For example, mathematical structures as diverse as graphs, manifolds, See more

From set theory's inception, some mathematicians have objected to it as a foundation for mathematics: see Controversy over Cantor's theory See more

Mathematical topics typically emerge and evolve through interactions among many researchers. Set theory, however, was founded by a single … See more

Elementary set theory can be studied informally and intuitively, and so can be taught in primary schools using Venn diagrams. The intuitive approach tacitly assumes that a set … See more

Set theory is a major area of research in mathematics, with many interrelated subfields.
Combinatorial set … See more