Condition

Pronunciation: /kənˈdɪ.ʃən/ Explain

A condition is statement that must be true for a given statement or theorem to hold.^[2] 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. McAdams, David E.. All Math Words Dictionary, condition. 2nd Classroom edition 20150108-4799968. pg 42. Life is a Story Problem LLC. January 8, 2015. Buy the book
2. Duncan, William H.. The Elements of Logic. pp 130-131. www.archive.org. Whiting, Backus & Whiting. 1804. Last Accessed 6/25/2018. http://www.archive.org/stream/elementsoflogici00dunc#page/130/mode/1up/search/condition. Buy the book
3. Atwater, Lymon H. Manual of Elementary Logic. revised edition. pg 92. www.archive.org. J. B. Lippincott Company. 1895. Last Accessed 6/25/2018. 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. 4/16/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/c/condition.html.

Revision History

4/16/2019: Updated equations and expressions to new format. (McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)
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.)