Logical Labyrinths
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| Author | : Raymond Smullyan |
| Publisher | : CRC Press |
| Total Pages | : 332 |
| Release | : 2008-12-22 |
| Genre | : Games & Activities |
| ISBN | : 143986537X |
This book features a unique approach to the teaching of mathematical logic by putting it in the context of the puzzles and paradoxes of common language and rational thought. It serves as a bridge from the author's puzzle books to his technical writing in the fascinating field of mathematical logic. Using the logic of lying and truth-telling, the au
| Author | : Boris Pritsker |
| Publisher | : World Scientific |
| Total Pages | : 324 |
| Release | : 2021-01-04 |
| Genre | : Mathematics |
| ISBN | : 9811228256 |
Mathematical Labyrinths. Pathfinding provides an overview of various non-standard problems and the approaches to their solutions. The essential idea is a framework laid upon the reader on how to solve nonconventional problems — particularly in the realm of mathematics and logic. It goes over the key steps in approaching a difficult problem, contemplating a plan for its solution, and discusses set of mental models to solve math problems.The book is not a routine set of problems. It is rather an entertaining and educational journey into the fascinating world of mathematical reasoning and logic. It is about finding the best path to a solution depending on the information given, asking and answering the right questions, analyzing and comparing alternative approaches to problem solving, searching for generalizations and inventing new problems. It also considers as an important pedagogical tool playing mathematical and logical games, deciphering mathematical sophisms, and interpreting mathematical paradoxes.It is suitable for mathematically talented and curious students in the age range 10-20. There are many 'Eureka'- type, out of the ordinary, fun problems that require bright idea and insight. These intriguing and thought-provoking brainteasers and logic puzzles should be enjoyable by the audience of almost any age group, from 6-year-old children to 80-year-old and older adults.
| Author | : Walter Shepherd |
| Publisher | : Courier Corporation |
| Total Pages | : 129 |
| Release | : 1973-01-01 |
| Genre | : Games & Activities |
| ISBN | : 0486229513 |
The path least traveled makes all the difference in this volume, especially when you find yourself crossing bridges, escaping from caves, lighting firecrackers, spelling out passwords, and untangling snakes. These 50 challenges include classic, solid, and ripple mazes, along with short-path and avoidance labyrinths and other intriguing problems. Solutions.
| Author | : Raymond M. Smullyan |
| Publisher | : Courier Corporation |
| Total Pages | : 292 |
| Release | : 2014-03-19 |
| Genre | : Mathematics |
| ISBN | : 0486782972 |
Combining stories of great writers and philosophers with quotations and riddles, this original text for first courses in mathematical logic examines problems related to proofs, propositional logic and first-order logic, undecidability, and other topics. 2014 edition.
| Author | : D.J. Hoekzema |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 287 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 9401117772 |
At the outset of the research leading to this book I held a position somewhere close to 'the standard Copenhagen interpretation' of QM. I was strongly attracted to, in particular, the philosophy of Niels Bohr. However, being aware of some of the problematic sides and ambiguities of his views and of new developments which have taken place in QM after his time, the main challenge would be to develop a more up to date version version of his approach and express it in a philosophically unobjectionable way. Traces of this original attitude can still be found in views I hold nowadays. For instance, I think that I now know a satisfactory and correct way of dealing with features like 'complementarity', and I still see this as a relevant subject. In many other respects, however, there have been major changes in my position. In fact, during certain stages of my research my views simply started moving and kept on doing so at an irritating pace and for uncomfortably long periods of time. I learned, for example that at least some of the classical ideas about theory structure are much better than I had realized, and cannot just be pushed aside for anything even as impressive as empirical success.
| Author | : Jason Rosenhouse |
| Publisher | : Princeton University Press |
| Total Pages | : 348 |
| Release | : 2022-09-27 |
| Genre | : Mathematics |
| ISBN | : 069124202X |
A lively and engaging look at logic puzzles and their role in mathematics, philosophy, and recreation Logic puzzles were first introduced to the public by Lewis Carroll in the late nineteenth century and have been popular ever since. Games like Sudoku and Mastermind are fun and engrossing recreational activities, but they also share deep foundations in mathematical logic and are worthy of serious intellectual inquiry. Games for Your Mind explores the history and future of logic puzzles while enabling you to test your skill against a variety of puzzles yourself. In this informative and entertaining book, Jason Rosenhouse begins by introducing readers to logic and logic puzzles and goes on to reveal the rich history of these puzzles. He shows how Carroll's puzzles presented Aristotelian logic as a game for children, yet also informed his scholarly work on logic. He reveals how another pioneer of logic puzzles, Raymond Smullyan, drew on classic puzzles about liars and truthtellers to illustrate Kurt Gödel's theorems and illuminate profound questions in mathematical logic. Rosenhouse then presents a new vision for the future of logic puzzles based on nonclassical logic, which is used today in computer science and automated reasoning to manipulate large and sometimes contradictory sets of data. Featuring a wealth of sample puzzles ranging from simple to extremely challenging, this lively and engaging book brings together many of the most ingenious puzzles ever devised, including the "Hardest Logic Puzzle Ever," metapuzzles, paradoxes, and the logic puzzles in detective stories.
| Author | : Julie E. Bounford |
| Publisher | : Quarto Publishing Group USA |
| Total Pages | : 195 |
| Release | : 2018-10-02 |
| Genre | : Games & Activities |
| ISBN | : 0760363021 |
Thread your way through this history of mazes from the ancient world to today and solve over one hundred mazes along the way. From prehistoric times, mazes and labyrinths worldwide have served as different symbolic, ritualistic, and practical purposes. Taken as a powerful metaphor for life’s journey, they can be used as tools for meditation and learning at any level, even when completed for recreation. Maze images can be enjoyed as motifs themselves, but also in their material forms—a meditation, puzzle, dance, walk, ritual, pilgrimage, or simply a day out. Drawing upon a wealth of historical and classical literature; accounts written by explorers, archaeologists, and historians; and the output of modern and contemporary world-renowned experts and enthusiasts, social historian Dr. Julie Bounford explores the evolution of mazes through time and across continents, presenting their history in a fun and engaging format while challenging readers to solve over one hundred mazes—many created exclusively for this book by illustrator and artist Trevor Bounford. Learn about: The earliest recorded examples, legends, and mazes in the ancient world Mazes used as sacred rituals and symbols that take us beyond the natural world Turf, stone, hedge, and garden mazes, and sites of communal rustic revels The modern revival, with mazes taken to forms never previously imagined Explore how mazes can improve your mental dexterity and create mindfulness, and use the gazetteer to locate historical, replica, and interesting mazes that exist around the world today.
| Author | : Raymond M Smullyan |
| Publisher | : World Scientific |
| Total Pages | : 224 |
| Release | : 2015-04-23 |
| Genre | : Mathematics |
| ISBN | : 9814644609 |
This is an exciting if not rambling account of events of Raymond Smullyan's four lives — as a mathematical logician, musician, magician, and author — together with thoughts that come to his mind as he recalls them. This book includes topics from some of Smullyan's twenty-six books, as well as many of his favorite anecdotes and jokes. It also presents some generalizations of theorems of the great logicians Gödel and Tarski, and discusses logic in general, and how he won his wife with a logic trick! Smullyan also relates some of his teaching experiences, and expresses his views on mathematical education, and how our present textbooks are primarily responsible for its decline! About his life as a pianist, Smullyan relates a good deal about his experiences with the Piano Society — a wonderful organization to which he is a staunch contributor, and how he has had such delightful relations with many of its members. Last but not least, Smullyan recounts how he has known some lovely ladies over the years.
| Author | : Francesca Tatarella |
| Publisher | : Princeton Architectural Press |
| Total Pages | : 0 |
| Release | : 2016-11-22 |
| Genre | : Architecture |
| ISBN | : 9781616895129 |
The labyrinth is one of the world's oldest symbols, and its meaning is often shrouded in myth and mystery or ties to religious rites. Today, this enigmatic form inspires artists to create their own interpretations in different, even unusual, ways, including by working with materials as varied as ice, snow, salt, wood, stone, glass, cement, and metal. This new collection features both classical examples and the best contemporary projects, showcasing work by artists, landscape artists, and architects from around the world. The diverse and stunning examples include pavement labyrinths of thirteenth-century French cathedrals, a historic English turf maze, Renaissance hedge mazes, and numerous present-day projects by artists and architects, including BIG, Chris Drury, Richard Fleischner, Dan Graham, Robert Irwin, Arata Isozaki, Robert Morris, Yoko Ono, and Billie Tsien and Tod Williams.
| Author | : Melvin Fitting |
| Publisher | : Springer |
| Total Pages | : 200 |
| Release | : 2018-01-11 |
| Genre | : Philosophy |
| ISBN | : 3319687328 |
This book collects, for the first time in one volume, contributions honoring Professor Raymond Smullyan’s work on self-reference. It serves not only as a tribute to one of the great thinkers in logic, but also as a celebration of self-reference in general, to be enjoyed by all lovers of this field. Raymond Smullyan, mathematician, philosopher, musician and inventor of logic puzzles, made a lasting impact on the study of mathematical logic; accordingly, this book spans the many personalities through which Professor Smullyan operated, offering extensions and re-evaluations of his academic work on self-reference, applying self-referential logic to art and nature, and lastly, offering new puzzles designed to communicate otherwise esoteric concepts in mathematical logic, in the manner for which Professor Smullyan was so well known. This book is suitable for students, scholars and logicians who are interested in learning more about Raymond Smullyan's work and life.
