Wednesday 30 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 PainterThe Juggler is honest.
2. The TannerThe Miller is a liar, or the Saddler is, or both.
3. The MillerThe Tanner is a liar, or the Painter is, or both.
4. The JugglerThe Tanner and the Miller are the same kind.
5. The SaddlerExactly three of us are liars.