Condition

Pronunciation: /kənˈdɪ ʃən/ ?

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 if its truth depends on a condition.

References

  1. condition. http://wordnet.princeton.edu/. WordNet. Princeton University. (Accessed: 2011-01-08). http://wordnetweb.princeton.edu/perl/webwn?s=condition&sub=Search+WordNet&o2=&o0=1&o7=&o5=&o1=1&o6=&o4=&o3=&h=.
  2. Duncan, William H.. The elements of logic, pp 130-131. Whiting, Backus & Whiting, 1804. (Accessed: 2010-01-18). http://www.archive.org/stream/elementsoflogici00dunc#page/130/mode/1up/search/condition.
  3. Atwater, Lymon H. Manual of Elementary Logic, revised edition, pg 92. J. B. Lippincott Company, 1895. (Accessed: 2010-01-18). http://www.archive.org/stream/manualofelementa00atwarich#page/92/mode/1up/search/condition.

More Information

  • McAdams, David. Criterion. allmathwords.org. All Math Words Encyclopedia. Life is a Story Problem LLC. 2009-03-12. http://www.allmathwords.org/article.aspx?lang=en&id=Criterion.

Cite this article as:


Condition. 2010-01-18. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/c/condition.html.

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Revision History


2010-01-18: Added "References" (McAdams, David.)
2008-12-01: Added definition of 'conditional' (McAdams, David.)
2008-03-25: Changed More Information to match current standard (McAdams, David.)
2007-07-12: Initial version (McAdams, David.)

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