Island with Knights, Knaves and Jokers

Suppose you are visiting an island with knights who always tell the truth, knaves who always lie, and jokers who can do either.

Along comes an islander and says: “I am a knave.”

What is the islander?

Answer

The islander is a joker.

A knight cannot lie and say they are a knave, a knave cannot tell the truth and say they are a knave and a joker is free to lie and say they are a knave. The islander has to be a joker.

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