By Raymond Smullyan
The writer provides a bombshell puzzle so startling that it kind of feels significant that there can be any answer in any respect! yet there's certainly an answer additionally, one who calls for a sequence of lesser puzzles to be solved first. The reader is hence taken on a trip via a maze of subsidiary difficulties that has all of the earmarks of an enjoyable detective tale. This e-book leads the unwary reader into deep logical waters via seductively exciting common sense puzzles. One instance is Boolean algebra with such bizarre having a look equations as 1+1=0 an issue which this present day performs an important function, not just in mathematical structures, but additionally in machine technology and synthetic intelligence.
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Extra resources for The Magic Garden of George B and Other Logic Puzzles
What is the solution? Are any of them the witch doctor? If not, why not? If so, which one? page 46 March 19, 2015 15:40 The Magic Garden of George B. . 5in b2081-ch10 47 The Knight-Knave Disease SOLUTIONS 1 - A statement that works is: "I am a healthy knave". No truthful person would say that, hence the statement is false, and so the speaker must be a sick knight. 2 - A statement that works is: "I am not a healthy knight". A healthy knight wouldn't make such a false statement, a sick knight couldn't make such a true statement, and a healthy knave couldn't make such a true statement.
Arlene tells the truth when wearing green and lies when wearing red. Teresa is the opposite. She tells the truth when wearing red and lies when wearing green. One day, a color-blind man named Alfred met one of the sisters and wanted to know what color dress she was wearing. What single yes/no question would determine this? Suppose, instead, Alfred wanted to know whether he was addressing Arlene or Teresa. What yes/no question should he ask? " She answered (yes or no) and Alfred, who was a good logician, knew who she was.
George then wrote 349349. "Now divide what you have by 7". George did so and got 49907. "Now divide what you have by eleven". George did so and got 4537. "Now divide what you have by thirteen". George did so, and to his surprise got back his original number 349. " said McGregor. "You still haven't told me what a special number is", protested George. "By a special number", replied McGregor, "I mean any 3-digit number such that when repeated and then successively divided by seven, eleven and thirteen, gives you back the number you started with.