Condition

Pronunciation: /kənˈdɪ ʃən/ Explain

A condition is statement that must be true for a given statement or theorem to hold.[1] In the math statement 'y=1/x, x≠0', the inequality x≠0 is a condition that must hold for the statement y=1/x to be true. Notice that, in this case, 1 is being divided by x. Since division by zero is undefined, x can not be zero, hence x≠0.

A statement is conditional statement if its truth depends on a condition.

References

  1. Duncan, William H.. The Elements of Logic. pp 130-131. www.archive.org. Whiting, Backus & Whiting. 1804. Last Accessed 8/6/2018. http://www.archive.org/stream/elementsoflogici00dunc#page/130/mode/1up/search/condition. Buy the book
  2. Atwater, Lymon H. Manual of Elementary Logic. revised edition. pg 92. www.archive.org. J. B. Lippincott Company. 1895. Last Accessed 8/6/2018. http://www.archive.org/stream/manualofelementa00atwarich#page/92/mode/1up/search/condition. Buy the book

More Information

  • McAdams, David E.. Criterion. allmathwords.org. All Math Words Encyclopedia. Life is a Story Problem LLC. 6/27/2018. http://www.allmathwords.org/en/c/criterion.html.

Cite this article as:

McAdams, David E. Condition. 6/25/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/c/condition.html.

Revision History

6/25/2018: Removed broken links, updated license, implemented new markup, updated GeoGebra apps. (McAdams, David E.)
1/18/2010: Added "References". (McAdams, David E.)
12/1/2008: Added definition of 'conditional'. (McAdams, David E.)
3/25/2008: Changed More Information to match current standard. (McAdams, David E.)
7/12/2007: Initial version. (McAdams, David E.)

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