Difference between revisions of "Set (mathematics)"
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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}. | 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. | + | Sets are one of the most fundamental concepts in [[mathematics]]. |
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| + | == 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. | 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. | ||
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[[Mathematics]] | [[Mathematics]] | ||
| + | [[Set theory]] | ||
Revision as of 15:41, 4 April 2016
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
- Counting
- Data set
- Idempotence
- Identification scheme
- Mathematical object
- Mathematics
- Permutation
- Set theory
- Space (mathematics)
- Universe (mathematics)
- Unique identifier
External links
- Set (mathematics) @ Wikipedia
