find the treasure. Guys I just started college ( engineering) so if this question was easy just help me out please. There are three boxes,and three messages: Message 1 / box 1: the treasure is not in the box 1. Message 2 /box 2: the treasure is not in the box 2. Message 3/ box 3: the treasure is in the box 2. Use the tables of truth to find the box that has the treasure. So what I did is this: I supposed that the treasure is in box 1 and then I found this in the table of truth; Message 1: false Message 2: true Message 3: false I did the same thing with box 2 and 3 but I found two " true" and one " false" And since there must be two "false" and only one " true" then the treasure is box 1.

Unless you make more assumptions about the truth value of the messages, say 'one message is false' you can't draw a logical conclusion.

If, for example only one message is false then as you said message 2 and 3 are contradictory and so if message 2 is false, the treasure is in box 3, if message 3 is false, the treasure is in box 2. Here you see that the assumption 'one message is false' still doesn't provide enough information to draw a conclusion. For that you'd need a more specific assumption like 'message 1 and 2 are right'.

Just given the messages with no information and let all be true gives a contradiction and the treasure could be everywhere. Or nowhere.