Deaf Island Puzzle Generator

number of inhabitants

5

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general formulation

statements

symbolic statements

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Deaf IslandThere is an island in which all the inhabitants are almost deaf. They belong to one of two tribes: left or right. It is assumed that every inhabitant of the island is either left or right. Because of their near-deafness they communicate only person to person. The rule is that when two people from the same tribe communicate, they tell the truth, and when they are from different tribes, they lie.In the problem there are 5 inhabitants, who are denoted by A, B, C, …. The first inhabitant says something to the second. The second inhabitant says something to the third… The last inhabitant says something to the first. Who is left, and who is right?

This Demonstration provides a generator for certain logic puzzles. These puzzles are about an island of two tribes. When two inhabitants communicate to each other they tell the truth if and only if they belong to the same tribe. So if an inhabitant

A

tells a statement

P

to inhabitant

B

, then we may conclude that

A

⇔

B

⇔

P

. Here

A

means that the first inhabitant is from the first tribe (and ¬

A

means that he/she is from the second tribe).