Howard, Philip, and Joyce: among them is a good man, a bad man, and a liar. The good man only tells the truth; the bad man only lies; and the liar... Well, he would say anything — sometimes the truth, and sometimes lies.
One day, Joyce said: "Philip is either the good man or the bad man."
Then, Philip said: "Either Howard or Joyce is the good man."
Which of these three is the liar?
1. Howard
2. Philip
3. Joyce