Question

Two friends play a game to see if one can spot the true statements when the other gives them a list of truths and lies mixed together. (These friends are logicians, and they are very particular about formal logic. They think it’s fun.) The first friend challenges the second, saying: “1, I’m not in love with you; 2, Exactly two statements on this list are false; 3, Exactly three statements on this list are false.” Which of these statements is true?

Answer 1

I automatically knew that 3 is not true since 1 and 2 would be false but 3 would be true. I am guessing it is 2 since 3 is false and 1 might be false. Hope I helped you at least a little bit.