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
- 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
- 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
- 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. https://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. https://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.)