Problem #PRU-111236

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

Problem

One day all the truth tellers on the planet decided to carry a clearly visible mark of truth in order to be distinguished from liars. Two truth tellers and two liars met and looked at each other. Which of them could say the phrase:

  • “All of us are truth tellers.”

  • “Only one of you is a truth teller.”

  • “Exactly two of you are truth tellers.”