## 55. In a Dream or Awake?

- Let's move on to logical questions, suggested the White Queen. - When the Black King is asleep, he judges everything incorrectly. In other words, everything the Black King considers true in his dreams is actually false, and vice versa. On the other hand, when awake, the Black King judges everything soundly, that is, he considers the true to be true and the false to be false. Last evening at exactly ten o'clock, the Black King believed that he and the Black Queen were already asleep at that time.

Was the Black Queen asleep or awake last night at ten o'clock?

- That's impossible! - thought Alice, but then she realized that there was nothing impossible about the conditions of the problem and was able to answer the question correctly.

So, was the Black Queen asleep or awake last night at ten o'clock?
55. In a dream or in reality? If the Black King were awake at 10 p.m. the night before, he could not falsely believe that he and the Black Queen were sleeping. Therefore, the Black King was asleep at that time. But since he judges everything incorrectly in his dreams, the Black King mistakenly believed that the Queen was also sleeping. Therefore, at 10 p.m. yesterday, the Black Queen was awake.