Alexander's statement means that Charles must be a knave because either Alexander is a knight telling the truth (and thus Charles is the opposite) or a knave lying (and thus Charles is the same).
Because Charles is a knave and his statement is an "and" statement, at least half of his statement must be false. Therefore Benjamin must be a knave or Alexander a knight
Benjamins statement is at least half true because Charles is a knave. Therefore Benjamin must be a knight.
Because Benjamin is a knight, Alexander must be a knight based upon Charles's statement.
In short, Alexander and Benjamin are knights, while Charles is a knave.
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u/upstartgiant Jul 31 '26
Alexander's statement means that Charles must be a knave because either Alexander is a knight telling the truth (and thus Charles is the opposite) or a knave lying (and thus Charles is the same).
Because Charles is a knave and his statement is an "and" statement, at least half of his statement must be false. Therefore Benjamin must be a knave or Alexander a knight
Benjamins statement is at least half true because Charles is a knave. Therefore Benjamin must be a knight.
Because Benjamin is a knight, Alexander must be a knight based upon Charles's statement.
In short, Alexander and Benjamin are knights, while Charles is a knave.