## 47. The Return of Murdoch - Murdoch was thrown into the dungeon, - continued

the King, - but soon escaped and left the country, but then he infiltrated the country again, thoroughly disguised so that no one could recognize him. And this time he was arrested along with one knight and one liar. All three (let's denote them $A, B$, and $C$) appeared before the court and gave the following statements:

A. My name is Murdoch,

B. That is true.

C. I am not Murdoch.

Who among the three is Murdoch this time?

![](https://cdn.mathpix.com/cropped/2024_05_21_5afa4e43618f5800e92dg-065.jpg?height=480&width=948&top_left_y=862&top_left_x=583)
47. The Return of Murdoch. If $A$ is Murdoch, then all three statements are true, which is impossible, as one of the three defendants is a liar. If $C$ is Murdoch, then all three statements are false, which is also impossible, as one of the three defendants is a knight. Therefore, Murdoch must be $B$.