Set (mathematics)

In mathematics, a set is a collection of distinct mathematical objects, considered as an object in its own right.

Description

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}.

Sets are one of the most fundamental concepts in mathematics.

Set theory

Developed at the end of the 19th century, 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.

Mathematics education

In mathematics education, elementary topics such as Venn diagrams are taught at a young age, while more advanced concepts are taught as part of a university degree.

History

The German word Menge, rendered as "set" in English, was coined by Bernard Bolzano in his work The Paradoxes of the Infinite.

See also

• Alternative set theory
• Axiomatic set theory
• Category of sets
• Class (set theory)
• Counting
• Data set
• Dense set
• Family of sets
• Fuzzy set
• Georg Cantor
• Idempotence
• Identification scheme
• Internal set
• Mathematical object
• Mathematics
• Mereology
• Multiset
• Naive set theory
• Permutation
• Principia Mathematica
• Rough set
• Russell's paradox
• Sequence (mathematics)
• Set notation
• Set theory
• Space (mathematics)
• Taxonomy
• Tuple
• Universe (mathematics)
• Unique identifier
• Venn diagram

External links

• Set (mathematics) @ Wikipedia