Saturday 3 October 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 TannerAt most five of us are liars.
2. The HarpistIf the Librarian is honest, then so is the Falconer.
3. The LocksmithThe Tanner and the Harpist are the same kind.
4. The FalconerIf the Tanner is honest, then so is the Librarian.
5. The DoormanThe Tanner and the Diver are the same kind.
6. The LibrarianAt least five of us are liars.
7. The DiverThe Harpist and the Tanner are different kinds.