Saturday 5 September 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 BarberAt least six of us are liars.
2. The JugglerThe Archivist and the Pianist are the same kind.
3. The FerrymanAt least two of us are liars.
4. The PianistThe Doorman and I are different kinds.
5. The ClockmakerThe Juggler and the Barber are the same kind.
6. The DoormanThe Barber and the Archivist are the same kind.
7. The ArchivistThe Ferryman and the Juggler are the same kind.