No Jokers Here

Logic Level 1

The knight always tells the truth, the knave always lies, and the joker can either lie or tell the truth.

If neither of them is a joker, what are Alex and Christopher?

Alex - knave, Chris - knight Alex - knave, Chris - knave Alex - knight, Chris - knight Alex - knight, Chris - knave

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Calvin Lin by Calvin Lin

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2 solutions

Geoff Pilling
Oct 23, 2016

Relevant wiki: Truth-Tellers and Liars

There are no jokers, so Alex must be lying. Alex is therefore a knave.

Since Christopher (truthfully) says that Alex is a knave he must be a knight.

7 Helpful 1 Interesting 1 Brilliant 0 Confused

Thank you for that.

Diana Bradish - 1 year, 2 months ago
Saya Suka
Apr 25, 2021

Christopher : Alex is a knave.
Alex : Christopher is a Joker.

Just from the conversation, we can make a possibility table.

Truth Values Alex Christopher
True – False knave Knight
False – True Knight Joker
False – True Joker Joker
False – False Joker knave

There are 4 possible cases that's compatible with the above conversation, with only the first one is an exception where neither of them is a Joker with a knave Alex and a Knight Chris.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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