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: Joshua broke the vase.
Joshua: Nathan did not do it.
Michelle: Joshua lied when he said Nathan did not do it.
Denise: Joshua did it.

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

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

Answer 1

HELLLLLLLLLLLLLLLLLPPPP!!!!

Answer 2

who said !!!Michelle broke the vase???

Answer 3

NO ONE

Answer 4

so it's obvious that joshua did it

Answer 5

Yes I know that I just don't know how to write the proof ..

Answer 6

nathan said joshua did it= means clear
joshua said nathan didn't = means i did it
michelle said joshua lied that nathan didn't= means joshua did it
and denise also said clear that=joshua did itttttttttt


So over all joshua did it.

Answer 7

okay thank you so much I still don't understand

Answer 8

hahahaha

Answer 9

@Qais: I believe you have to use truth values and not just common sense on this problem. Sorry tillia, but I was bad at discrete structures, so I won't be able to help. :(

You have to use those

(p+q) -> w type statements. :(

Answer 10

Lets assume that Micheal didn't break the glass Nathan statement would be false , Joshua statement would be FALSE , When Michelle said that Joshua statement was false then Michelle statement is TRUE <---- so far this is what i got