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Exclusive or

A disjunction for which either statement may be true but not both.

For example, the use of the word or in "This morning I can go to school or I can stay home" is exclusive. Either option may be true but not both.

Note: Mathematicians rarely use exclusive or. In math, or is understood to be inclusive unless stated otherwise.

 


  this page updated 21-feb-16
Mathwords: Terms and Formulas from Algebra I to Calculus
written, illustrated, and webmastered by Bruce Simmons
NCTM Web Bytes December 2004 Web Bytes March 2005 Web Bytes