Mathematical topics typically emerge and evolve through interactions among many researchers. Set theory, … 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 characterizi… 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 may be formed from the class of all … See more

Many mathematical concepts can be defined precisely using only set theoretic concepts. For example, mathematical structures as diverse as graphs, manifolds, rings, vector spaces, and relational algebras can all be d… See more

Set theory is a major area of research in mathematics, with many interrelated subfields.
Combinatorial set theory concerns extensions of finite combinatorics to infinite sets. This i… See more

From set theory's inception, some mathematicians have objected to it as a foundation for mathematics: see Controversy over Cantor's theory. The most common objection to set theory, one Kronecker voiced … See more

As set theory gained popularity as a foundation for modern mathematics, there has been support for the idea of introducing the basics of naive set theory early in mathematics education.
In the US i… See more