Bøger af Raymond Smullyan

Now a generation of readers can be charmed and inspired by this witty, sophisticated author. This book looks at the ideas inspired by Taoism that treat a wide variety of subjects about life in general. By the author of "This Book Needs No Title" and "Alice in Puzzleland".

Few things have stimulated the imagination as much as infinity! It has all sorts of curious properties that at first seem paradoxical, but later turn out not to be. As such, it provides material for a book of brain teasers and paradoxes. The Witcher and his two young apprentices Annabelle and Alexander offer you a guided excursion through infinity here. They will visit, for example, an island where talking robots create other intelligent robots and program them to create more robots, which in turn create new intelligent robots and so on, ad infinitum. Through stories like this one, in addition to entertaining yourself with mathematical challenges, you will be able to learn about the pioneering discoveries of the great German mathematician and philosopher Georg Cantor. The Sorcerer, in typical humorous style, ends with a delightful tale of how Satan himself was tricked by a cunning student of Cantor. Even the neophyte will be able to understand the nature of infinity, Cantor's astonishing contribution (he was the first to put the subject of infinity on a logically sound footing), and a description of what might be the greatest mathematical problem of all time that, even today, still no solution!

?The most entertaining logician and set theorist who ever lived? (Martin Gardner) gives us an encore to The Lady or the Tiger?-a fiendishly clever, utterly captivating new collection of 225 brainteasers, puzzles, and paradoxes.

From Simon & Schuster, This Book Needs No Title is Raymond Smullyan's budget of living paradoxes—the author of What is the Name of This Book?Including eighty paradoxes, logical labyrinths, and intriguing enigmas progress from light fables and fancies to challenging Zen exercises and a novella and probe the timeless questions of philosophy and life.

Written by a creative master of mathematical logic, this introductory text combines stories of great philosophers, quotations, and riddles with the fundamentals of mathematical logic. Author Raymond Smullyan offers clear, incremental presentations of difficult logic concepts. He highlights each subject with inventive explanations and unique problems.Smullyan's accessible narrative provides memorable examples of concepts related to proofs, propositional logic and first-order logic, incompleteness theorems, and incompleteness proofs. Additional topics include undecidability, combinatoric logic, and recursion theory. Suitable for undergraduate and graduate courses, this book will also amuse and enlighten mathematically minded readers. Dover (2014) original publication. See every Dover book in print atwww.doverpublications.com

Features an approach to the teaching of mathematical logic by putting it in the context of the puzzles and paradoxes of common language and rational thought. Using the logic of lying and truth-telling, this book introduces the informal reasoning preparing them for the formal study of symbolic logic, from propositional logic to first-order logic.