Outline Mathematics Logic Problems Knights and Knaves 3 Here's a problem to tackle:   On an island, the populace is of two kinds: knights and knaves. Knights always tell the truth, knaves always lie. An islander - call him A - made a statement: "Either I am a knave or 2 + 2 = 5." What can we conclude? Solution Copyright © 1996-2008 Alexander Bogomolny                             Solution   On an island, the populace is of two kinds: knights and knaves. Knights always tell the truth, knaves always lie. An islander - call him A - made a statement: "Either I am a knave or 2 + 2 = 5." What can we conclude? (In the applet below, click on the underlined omitted expressions. See what happens.) // formulations This applet requires Sun's Java VM 2 which your browser may perceive as a popup. Which it is not. If you want to see the applet work, visit Sun's website at http://www.java.com/en/download/index.jsp, download and install Java VM and enjoy the applet. References R. Smullyan, What Is the Name of This Book?, Simon & Schuster, 1978 Copyright © 1996-2008 Alexander Bogomolny

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