Set


 
 
Set

:This article is about sets in mathematics. For other senses, see set (disambiguation).

~ ~ ~ ~ ~ ~ ~ ~ ~ ~

~ ~ ~ ~ ~ ~ ~ ~ ~ ~

In mathematics, a set can be thought of as any collection of distinct things considered as a whole. Though a simple idea, it is nevertheless one of the most important and fundamental concepts in modern mathematics.

~ ~ ~ ~ ~ ~ ~ ~ ~ ~

Set theory, having only been invented at the end of the 19th century, is now a ubiquitous part of mathematics education, being introduced as early as primary school. It is the language in which modern mathematics is described. Set theory can be viewed as the foundation upon which nearly all of mathematics can be built and the source from which nearly all mathematics can be derived.

~ ~ ~ ~ ~ ~ ~ ~ ~ ~

This article gives a brief and basic introduction to what mathematicians call "intuitive" or "naive" set theory; for a more detailed account see naive set theory. For a rigorous modern axiomatic treatment of sets see axiomatic set theory.

~ ~ ~ ~ ~ ~ ~ ~ ~ ~


 

Set (disambiguation): The word set, which has a multitude of definitions in the English language (464 separate definitions, according to the Oxford English Dictionary, making it one of the words with the highest number of definitions), may have any of the following meanings:...

Collection: In common usage, a collection is any group of items that has one or more properties in common, usually brought together for some specific purpose. See Collecting and Collectibles....

Whole: Whole may refer to:...


Set related Images and Photos (experimental)

Smart Set (DVD)
Smart Set (DVD)
Ready, Set, Green Book (Paperback)
Ready, Set, Green Book (Paperback)
House Set
House Set
Kekkaishi Set 1 (DVD)
Kekkaishi Set 1 (DVD)
Matching Set I
Matching Set I
Smart Set (On Demand)
Smart Set (On Demand)
SET IT OFF (2PK/DVD/BD)
SET IT OFF (2PK/DVD/BD)
Kekkaishi Set 2
Kekkaishi Set 2
Set It Off DVD
Set It Off DVD
Kekkaishi Set 3
Kekkaishi Set 3
Kekkaishi Set 4
Kekkaishi Set 4
Set of Crayons
Set of Crayons

~ Table of Content ~

Introduction
Definition
Describing sets
Cardinality of a set
Subsets
Special sets
Unions
Intersections
Complements
Further reading
See also
References
 
FR: Ensemble


 

~ Related Subjects ~

Mathematics (2) - Naive set theory (1) - Theory (1) - Intuitive (1) - Axiom (1) - Collectible (1) - Collecting (1) - Axiomatic set theory (1) - Primary school (1) - Whole (1) - Collection (1) - Set (disambiguation) (1) - Concept (1) - Mathematics education (1) - 19th century (1) -
 

~ Community ~

History Forum
Come and discuss about History, Civilizations, Historical Events and Figures
History Web-Ring
A community of sites, blogs and forums dedicated to History. Do not hesitate to submit your site.