3. There is an island that has two kinds of inhabitants, knights, who always tell the truth, and their opposites, knaves, who always lie. It is assumed that every inhabitant of the island is either a knight or a knave. Below there are 3 inhabitants, who are denoted by A, B and С. What are A, B and C if A says "If C is a knave then B is a knight", B says "A is a За. knight or C is a knight", and C says "B is a knave if and only if A is a knight" ? Briefly explain your reasoning. зь. What are A, B and C if A says "C is a knave and B is a knight", B says "If A is a knave then C is a knight", and C says "B is a knight or A is a knight" ? Briefly explain your reasoning.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.1: Sets And Geometry
Problem 35E
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3.
There is an island that has two kinds of inhabitants, knights, who always tell
the truth, and their opposites, knaves, who always lie. It is assumed that every inhabitant of the
island is either a knight or a knave. Below there are 3 inhabitants, who are denoted by A, B and
С.
What are A, B and C if A says "If C is a knave then B is a knight", B says "A is a
За.
knight or C is a knight", and C says "B is a knave if and only if A is a knight" ? Briefly explain
your reasoning.
зь.
What are A, B and C if A says "C is a knave and B is a knight", B says "If A is a
knave then C is a knight", and C says "B is a knight or A is a knight" ? Briefly explain your
reasoning.
Transcribed Image Text:3. There is an island that has two kinds of inhabitants, knights, who always tell the truth, and their opposites, knaves, who always lie. It is assumed that every inhabitant of the island is either a knight or a knave. Below there are 3 inhabitants, who are denoted by A, B and С. What are A, B and C if A says "If C is a knave then B is a knight", B says "A is a За. knight or C is a knight", and C says "B is a knave if and only if A is a knight" ? Briefly explain your reasoning. зь. What are A, B and C if A says "C is a knave and B is a knight", B says "If A is a knave then C is a knight", and C says "B is a knight or A is a knight" ? Briefly explain your reasoning.
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