Exclusive Or/Examples/Monday or Not Monday

Example of Exclusive Or
The following is an example of an exclusive or statement:


 * Either today is Monday or today is not Monday.

Proof
By the Law of Excluded Middle, today is Monday or today is not Monday is a truth.

By the Principle of Non-Contradiction, today is Monday and today is not Monday is a falsehood.

Hence the result by definition of exclusive or.