Element (Set)
Pronunciation: /ˈɛlə mənt/ ?
Example 1:
 Figure 1: a ∈ A 

Example 2:
 Figure 2: x ∉ P 


An object is an element of a
set
if it belongs to that set.^{[1]} If object a is an element of set A,
write a ∈ A. If object x is not an element of set
P, write x ∉ P. A member of
a set is the same thing as the element of a set.
Example 3
Let S be the set of all integers. Then:
 1 ∈ S since 1 is an integer;
 1.5 ∉ S since 1.5 is not an integer.

References
 element. merriamwebster.com. Encyclopedia Britannica. (Accessed: 20100124). http://www.merriamwebster.com/dictionary/element.
 Jech, Thomas. Set Theory. Stanford Encyclopedia of Philosophy. Metaphysics Research Lab, CSLI, Stanford University. (Accessed: 20100124). http://plato.stanford.edu/entries/settheory/.
 D.C. Goldrei. Classic Set Theory: For Guided Independent Study, pg 3. Chapman & Hall, July 1, 1996. (Accessed: 20100124).
 Gilbert, Jimmie; and Gilbert Linda. Elements of Modern Algebra, 6th edition, pp 110. Thomson, Brooks/Cole, 2005.
More Information
 McAdams, David. Set. allmathwords.org. All Math Words Encyclopedia. Life is a Story Problem LLC. 20091215. http://www.allmathwords.org/article.aspx?lang=en&id=Set.
Printed Resources
Cite this article as:
Element (Set). 20100124. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/e/element.html.
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20100124: Added "References" (
McAdams, David.)
20080713: Reorganized content for readability. Added example 3 (
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20080607: Corrected spelling (
McAdams, David.)
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McAdams, David.)
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McAdams, David.)