How many possible configurations of truth teller liars are possible?

six possible combinations
C is telling the truth and is the saint. We can show this reasoning in a table. The top half of the table shows the six possible combinations of T (truth-telling saint), L (liar) and S (switcher). The bottom half shows which combinations become impossible at each step in the conversation.

Who is the truth teller?

Meaning of truth-teller in English someone who tells the truth, especially about what is really happening in a situation : He said voters value the governor as a truth-teller who is more believable than traditional politicians.

What is a truth speaker?

A Truthspeaker or Soe’feia is a so’jhin who serves Seanchan royalty by telling them the absolute truth of a situation as they see it, no matter how painful or humiliating it might be.

Are there truth tellers, Liars, and Liars?

There is a truth teller (always tells the truth), a liar (always lies), and one that sometimes answers truthfully and sometimes lies. Each man knows who is who. You may ask three yes or no questions to determine who is who. Each time you ask a question, it must only be directed to one of the men (of your choice).

Can a truth teller always tell the truth?

Similar to the explanation above, a truth-teller can never make this statement because if he/she makes this statement then it will be a lie which contradicts the fact that a truth-teller always speaks the truth. If the liar makes the above statement, then it will be the truth for him which again contradicts the fact that a liar will always lie.

Which is true if a liar says I am a liar?

Consider if a truth-teller says, “I am a liar”, which is a lie as a truth-teller can only say, “I am a truth-teller”. Hence, we can conclude that the person who said “I am a liar” is not the truth-teller. Similarly, if a liar says that he/she is a liar then that statement will be true but the liar will always speak the lie.

Is the 3 rd man the truth teller?

If the answer is no he is the liar. If the answer is yes then the 3 rd man is the liar. Now that you know who the liar is you ask the liar while pointing to one of the other 2 men “is this man the truth teller?” If he says yes then that man is Mister random. However if the answer is no then that man is the truth teller.

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