Tuesday 18 August 2026

How it works

Every witness is either honest or a liar. An honest witness only says true things, and a liar only says false ones, like the knights and knaves in Raymond Smullyan's puzzles. Each of them makes one statement below. Your job is to mark every witness honest or liar so that all the statements hold up together. Exactly one way of doing that works, and you can reach it by reasoning alone: try a guess, follow what it forces, and drop it the moment two statements clash.

The statements

1. The GlazierThe Butler and the Harpist are different kinds.
2. The HarpistThe Doorman and the Glazier are different kinds.
3. The DoormanThe Glazier is honest.
4. The ButlerThe Glazier and the Doorman are the same kind.