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History. Index. Mathematics Portal. v. t. e. A Venn diagram illustrating the intersection of two sets. Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects.
- Set (Mathematics)
Sets are ubiquitous in modern mathematics. Indeed, set...
- Zermelo–Fraenkel Set Theory
In set theory, Zermelo–Fraenkel set theory, named after...
- Set (Mathematics)
8 de out. de 2014 · First published Wed Oct 8, 2014; substantive revision Tue Jan 31, 2023. Set theory is the mathematical theory of well-determined collections, called sets, of objects that are called members, or elements, of the set. Pure set theory deals exclusively with sets, so the only sets under consideration are those whose members are also sets.
Beginning. History. Theory. Related pages. References. Further reading. Set theory. A Venn diagram illustrating the intersection of two sets. Set theory is the study of sets in mathematics. Sets are collections of objects. We refer to these objects as "elements" or "members" of the set.
Back to Top. 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 exactly the same elements. The basic relation in set theory is that of elementhood, or membership.
Learn about set theory, a branch of mathematics that studies sets and their properties. Find out how sets are defined, axiomatized, operated on, and related to topology.
