Pronunciation: /ˈɔr dər/ Explain

The order of a set is how the set is sorted.[1] One example of an ordered set is the set of integers. One can always tell which of any two integers come first. For example, 1 always comes before 5.

The operators =, , <, >, , show the relative order of an ordered set.

Sets other than numbers can be ordered. For example, the alphabet is an ordered set of letters. The statement 'a' < 'd' makes sense in terms of this ordering.

The points in a line are ordered. One can tell which points come before and after a particular point.[2]


  1. Hilbert, David. The Foundations of Geometry. pg 3. Translated by Townsend, E. J., Ph. D.. The Open Court Publishing Company. 1950. Last Accessed 12/21/2009. http://www.gutenberg.org/files/17384/17384-pdf.pdf.

Cite this article as:

McAdams, David E. Order. 5/5/2011. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/o/order.html.

Revision History

12/21/2009: Added "References". (McAdams, David E.)
4/25/2008: Initial version. (McAdams, David E.)

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