AHA! Gotcha: Paradoxes to Puzzle and Delight

Fascinating, informative, fun to read, etc., etc., this book contains short, one to two page entries on about eighty puzzles and paradoxes, divided into such categories as logic, probability, and time. Among my favorites is the vanishing leprechaun, a picture that sometimes has fourteen and other times has fifteen leprechauns in it: By switching two parts of the picture you can see a leprechaun vanish right in front of your eyes. (Note: Another reviewer maintains that there is a mistake on the "Three-Shell Game" on p. 100. Actually, there isn't, since Gardner never states that the dealer gives the player the opportunity to switch.)

This is an ageless book for the people who love to think and do it well. A paradox is a situation where a supposedly valid chain of reasoning is performed and yet you end up with a conclusion that cannot be true. In many cases, the paradox is due to imprecise definitions of words or statements that are so broad in scope that they refer to themselves. For example, when a Cretan says, "All Cretans are liars." The scope of the sentence is so broad that it includes the sentence itself. Therefore, if the statement is true, the person saying it must be lying and if the statement is false, then the Cretan is telling the truth, which means that according to the statement he must be lying. Many of the paradoxes are resolved by applying a simple analysis. Some of them are easily understood if presented in the appropriate context and no one does this better than Martin Gardner. He is truly unique in his ability to take a difficult mathematical concept and make it understandable. During his decades as the author of a regular mathematical column in Scientific American, he has done more to advance the progress of mathematics and science than anyone else in history. By turning so many young people on to mathematics, he is one of the intellectual grandfathers of hundreds of thousands of people. This book is a delight and contains many problems that can be used in courses in mathematics, reasoning and philosophy. I strongly recommend it.

This amazingly useful book presents the concept of paradoxes in a comfortable, light format that makes it easily presentable to children in addition to the fun cartoon drawings that accompany every paradox. Simple explanations allow enough depth to encourage further explanation of the topic. In addition, it is helpful for writing reports about paradoxes.

Those who have read any of Martin Gardner's famous books know that he is the master at explaining difficult concepts in witty and precise language. This book is no exception! It's a great book to buy for children AND adults alike.I encourage readers of this to purchase "Aha, Insight!" by the same author, and his "The (first,second,etc...) scientific american book of mathematical puzzles and diversions"

Intriguing and boggling concepts presented in a very relaxed, friendly manner. It's explained with funny little cartoon drawings, which are perfectly effective. It couldn't really be any better.A must-have for anyone who wants their head to spin; that's the whole point of reading about paradox, isn't it?