Nathan, Joshua, Michelle, and Denise were in a room where a porcelain vase was found broken. When an inquiry was conducted by the building caretaker, each made a statement.

Nathan: I did not break the vase.
Joshua: Denise did it.
Michelle: Denise lied when she said Michelle did it.
Denise: Michelle did it.

The caretaker knew that only one statement is not true and concluded that Nathan broke the vase.

Describe in complete sentences the method you use to show that the caretaker made an incorrect conclusion.

Question

Nathan, Joshua, Michelle, and Denise were in a room where a porcelain vase was found broken. When an inquiry was conducted by the building caretaker, each made a statement. 
 
Nathan: I did not break the vase.
Joshua: Denise did it.
Michelle: Denise lied when she said Michelle did it.
Denise: Michelle did it.
 
The caretaker knew that only one statement is not true and concluded that Nathan broke the vase. 
 
Describe in complete sentences the method you use to show that the caretaker made an incorrect conclusion.

anonymous · Answer

if only one statement is false then either joshua is telling the truth or denise is, which means that nathan can't have broke it