Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °
You are not logged in.
Ellen in the island of Knights and Knaves
Re: Ellen in the island of Knights and Knaves
If B’s first statement is true, then A’s first statement has to be true as well, since the truth of “P and Q” implies that of “P or Q”. However one of them calls the other a liar; therefore A and B cannot both be knights. Therefore B’s first statement is false, i.e. B is a knave. Thus B’s second statement is also false. Hence, the capital is in the mountains but the road to the right does not go to the capital.
134 books currently added on Goodreads