Linked from

The 54 pages that link to Set theory, each with the reason it gives.

• John von NeumannNarrower topic: Von Neumann made major contributions to axiomatic set theory and its foundations.

• TopologyNarrower topic: Topological spaces are built on sets, with additional structure specifying open subsets.

• Georg CantorNarrower topic: Cantor established this field as a foundation for studying mathematical infinity.

• Pigeonhole principleNarrower topic: The principle can be expressed as a theorem about functions between finite sets.

• Ordinal numberNarrower topic: Modern ordinal numbers are defined and studied within set theory.

• CardinalityNarrower topic: Cardinality became a central measure within Cantor's developing theory of sets.

• Cantor's theoremNarrower topic: Cantor’s theorem became a central result in the study of sets and infinity.

• Cantor's diagonal argumentNarrower topic: Cantor’s argument became a central proof technique in the development of this field.

• Axiom of extensionalityNarrower topic: The axiom is one of the foundational principles governing this subject.

• Axiom of pairingNarrower topic: Pairing is one of the basic existence principles in this framework.

• Bernard BolzanoNarrower topic: Bolzano’s writings anticipated questions later central to the formal study of sets.

• Point (geometry)Narrower topic: Modern foundations commonly treat geometric spaces and their points as sets and elements.

• Wacław SierpińskiNarrower topic: Sierpiński helped develop set theory, including work on cardinal numbers and the axiom of choice.

• Nicolas BourbakiNarrower topic: Bourbaki uses set-theoretic language as a broad foundation for its exposition.

• Axiom schema of specificationNarrower topic: Specification is a foundational principle governing set existence.

• Axiomatic systemNarrower topic: Set theory supplies a prominent foundational setting in which axiomatic systems are formulated.

• Felix HausdorffNarrower topic: Hausdorff used set-theoretic methods to formulate general spaces and investigate infinite collections.

• Order theoryNarrower topic: Order relations are often defined as sets of ordered pairs.

• ConstructivismNarrower topic: Constructivist mathematics can be developed by restricting how sets and their members are defined.

• Probability axiomsNarrower topic: Events and disjointness are expressed using set operations.

• Edgar F. CoddNarrower topic: Relations in Codd’s model are grounded in the mathematics of sets.

• Schröder–Bernstein theoremNarrower topic: The theorem arose from foundational questions about comparing infinite sets.

• Erdős–Rado theoremNarrower topic: The theorem's guarantees and bounds are formulated in set-theoretic language.

• Venn diagramNarrower topic: Venn diagrams became visual tools for the language and operations of set theory.

• De Morgan's lawsNarrower topic: Set intersection, union, and relative complement realize the lattice identities.

• Combinatorial principlesNarrower topic: Counting principles address finite collections, while set theory also studies infinite sizes.

• Kuratowski's closure-complement problemNarrower topic: The problem counts sets generated by operations on a single subset.

• Mary Ellen RudinNarrower topic: Its methods and axioms provide the background for the existence questions in her topology.

• Mostowski collapse lemmaNarrower topic: The lemma is a standard tool for translating relational structures into set-theoretic membership.