Problem #PRU-32794

Problems Set theory and logic Mathematical logic Mathematical logic (other)

Problem

A traveller on the planet of liars and truth tellers met four people and asked them: “Who are you?”. They received the following answers:

  • 1st: “We are all liars.”

  • 2nd: “Among us is exactly one liar.”

  • 3rd: “Among us there are two liars.”

  • 4th: “I have never lied and I’m not lying”.

The traveller quickly realised who the fourth resident was. How did they do it?