Imagine that you find yourself on the island created by Raymond Smullyan – the Island of Knights and Knaves, where there are only two types of people: Knights, who tell ONLY the truth, and Knaves, who tell ONLY lies. Suppose you encounter 2 individuals, A and B, who address you thusly:
A: “Exactly one of us is a Knight.”
B: “Only a Knave would tell you A is a Knave.
If possible, determine which type of person A and B are, respectively. Include some logical explanation for your conclusions.
Suppose, as you continue your adventures on this island, you encounter three individuals: D, E, and F. They address you in this way:
D: “F is a knave.”
E: “It is not the case that D is a knave.”
F: “Neither I nor D are knaves.”
Determine and state, if possible, which type D, E, and F are, respectively. Include some logical explanation for your conclusions.