You are traveling in a certain country where every inhabitant is either a truthteller who always tells the truth or a liar who always lies. i. You meet two inhabitants A and B. A makes the following...

You are traveling in a certain country where every inhabitant is either a truthteller who always tells the truth or a liar who always lies. i. You meet two inhabitants A and B. A makes the following statement: “At least one of us is a liar.” Is A a liar or a truth teller? What about B? Explain your answer. ii. Suppose A says, “Either I am a liar or B is a truthteller.” Is A a liar or a truthteller? What about B? Explain your answer. iii. Suppose A says, “I am a liar, but B isn’t.” Is A a liar or a truthteller? What about B?