Set (mathematics)

  • a set of polygons in an euler diagram

    in mathematics, a set is a well-defined collection of distinct objects, considered as an object in its own right.[1][2] for example, the numbers 2, 4, and 6 are distinct objects when considered separately, but when they are considered collectively they form a single set of size three, written {2, 4, 6}.[3] the concept of a set is one of the most fundamental in mathematics.[4] developed at the end of the 19th century,[5] set theory is now a ubiquitous part of mathematics, and can be used as a foundation from which nearly all of mathematics can be derived.[4]

  • etymology
  • definition
  • set notation
  • membership
  • cardinality
  • special sets
  • basic operations
  • applications
  • axiomatic set theory
  • principle of inclusion and exclusion
  • de morgan's laws
  • see also
  • notes
  • references
  • external links

A set of polygons in an Euler diagram

In mathematics, a set is a well-defined collection of distinct objects, considered as an object in its own right.[1][2] For example, the numbers 2, 4, and 6 are distinct objects when considered separately, but when they are considered collectively they form a single set of size three, written {2, 4, 6}.[3] The concept of a set is one of the most fundamental in mathematics.[4] Developed at the end of the 19th century,[5] set theory is now a ubiquitous part of mathematics, and can be used as a foundation from which nearly all of mathematics can be derived.[4]