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 tog
ether. (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?