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Logical Labyrinths
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Book Synopsis Logical Labyrinths by : Raymond Smullyan
Download or read book Logical Labyrinths written by Raymond Smullyan and published by CRC Press. This book was released on 2008-12-22 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis The Quantum Labyrinth by : D.J. Hoekzema
Download or read book The Quantum Labyrinth written by D.J. Hoekzema and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Big Book of Mazes and Labyrinths by : Walter Shepherd
Download or read book Big Book of Mazes and Labyrinths written by Walter Shepherd and published by Courier Corporation. This book was released on 1973-01-01 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis A Beginner's Guide to Mathematical Logic by : Raymond M. Smullyan
Download or read book A Beginner's Guide to Mathematical Logic written by Raymond M. Smullyan and published by Courier Corporation. This book was released on 2014-07-23 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 at www.doverpublications.com
Book Synopsis Mathematical Labyrinths. Pathfinding by : Boris Pritsker
Download or read book Mathematical Labyrinths. Pathfinding written by Boris Pritsker and published by World Scientific. This book was released on 2021-01-04 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Four Lives written by Raymond M. Smullyan and published by Courier Corporation. This book was released on 2014-03-19 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: " This 'best of' collection of works by Raymond Smullyan features excerpts from his published writings, including logic puzzles, explorations of mathematical logic and paradoxes, retrograde analysis chess problems, jokes and anecdotes, and meditations on the philosophy of religion. In addition, numerous personal tributes salute this celebrated professor, author, and logic scholar who is also a magician and musician. "--
Book Synopsis First-Order Modal Logic by : Melvin Fitting
Download or read book First-Order Modal Logic written by Melvin Fitting and published by Springer Nature. This book was released on 2023-11-22 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a thorough treatment of first-order modal logic. The book covers such issues as quantification, equality (including a treatment of Frege's morning star/evening star puzzle), the notion of existence, non-rigid constants and function symbols, predicate abstraction, the distinction between nonexistence and nondesignation, and definite descriptions, borrowing from both Fregean and Russellian paradigms.
Book Synopsis A First Course in Logic by : Mark Verus Lawson
Download or read book A First Course in Logic written by Mark Verus Lawson and published by CRC Press. This book was released on 2018-12-07 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: A First Course in Logic is an introduction to first-order logic suitable for first and second year mathematicians and computer scientists. There are three components to this course: propositional logic; Boolean algebras; and predicate/first-order, logic. Logic is the basis of proofs in mathematics — how do we know what we say is true? — and also of computer science — how do I know this program will do what I think it will? Surprisingly little mathematics is needed to learn and understand logic (this course doesn't involve any calculus). The real mathematical prerequisite is an ability to manipulate symbols: in other words, basic algebra. Anyone who can write programs should have this ability.
Book Synopsis A Beginner's Further Guide to Mathematical Logic by : Raymond Smullyan
Download or read book A Beginner's Further Guide to Mathematical Logic written by Raymond Smullyan and published by World Scientific Publishing Company. This book was released on 2016-11-11 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the final book written by the late great puzzle master and logician, Dr. Raymond Smullyan. This book is a sequel to my Beginner's Guide to Mathematical Logic. The previous volume deals with elements of propositional and first-order logic, contains a bit on formal systems and recursion, and concludes with chapters on Gödel's famous incompleteness theorem, along with related results. The present volume begins with a bit more on propositional and first-order logic, followed by what I would call a "fein" chapter, which simultaneously generalizes some results from recursion theory, first-order arithmetic systems, and what I dub a "decision machine." Then come five chapters on formal systems, recursion theory and metamathematical applications in a general setting. The concluding five chapters are on the beautiful subject of combinatory logic, which is not only intriguing in its own right, but has important applications to computer science. Argonne National Laboratory is especially involved in these applications, and I am proud to say that its members have found use for some of my results in combinatory logic. This book does not cover such important subjects as set theory, model theory, proof theory, and modern developments in recursion theory, but the reader, after studying this volume, will be amply prepared for the study of these more advanced topics. Request Inspection Copy
Book Synopsis Labyrinths of Reason by : William Poundstone
Download or read book Labyrinths of Reason written by William Poundstone and published by Anchor. This book was released on 2011-07-20 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This sharply intelligent, consistently provocative book takes the reader on an astonishing, thought-provoking voyage into the realm of delightful uncertainty--a world of paradox in which logical argument leads to contradiction and common sense is seemingly rendered irrelevant.
Book Synopsis Games for Your Mind by : Jason Rosenhouse
Download or read book Games for Your Mind written by Jason Rosenhouse and published by Princeton University Press. This book was released on 2022-09-27 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Curious History of Mazes by : Julie E. Bounford
Download or read book The Curious History of Mazes written by Julie E. Bounford and published by Quarto Publishing Group USA. This book was released on 2018-10-02 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Labyrinths written by Jorge Luis Borges and published by New Directions Publishing. This book was released on 1964 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Forty short stories and essays have been selected as representative of the Argentine writer's metaphysical narratives.
Book Synopsis Raymond Smullyan on Self Reference by : Melvin Fitting
Download or read book Raymond Smullyan on Self Reference written by Melvin Fitting and published by Springer. This book was released on 2018-01-11 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Logic and structure of the computer game by : Stephan Günzel
Download or read book Logic and structure of the computer game written by Stephan Günzel and published by Universitätsverlag Potsdam. This book was released on 2010 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fourth volume of the DIGAREC Series holds the proceedings to the conference Logic and Structure of the Computer Gameʺ, held at the House of Brandenburg- Prussian History in Potsdam on November 6 and 7, 2009. The conference was the first to explicitly address the medial logic and structure of the computer game. The contributions focus on the specific potential for mediation and on the unique form of mediation inherent in digital games. This includes existent, yet scattered approaches to develop a unique curriculum of game studies. In line with the concept of & lsquo;mediality & rsquo;, the notions of aesthetics, interactivity, software architecture, interface design, iconicity, spatiality, and rules are of special interest. Presentations were given by invited German scholars and were commented on by international respondents in a dialogical structure.
Book Synopsis The Mathematics of Various Entertaining Subjects by : Jennifer Beineke
Download or read book The Mathematics of Various Entertaining Subjects written by Jennifer Beineke and published by Princeton University Press. This book was released on 2017-09-05 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: The history of mathematics is filled with major breakthroughs resulting from solutions to recreational problems. Problems of interest to gamblers led to the modern theory of probability, for example, and surreal numbers were inspired by the game of Go. Yet even with such groundbreaking findings and a wealth of popular-level books, research in recreational mathematics has often been neglected. The Mathematics of Various Entertaining Subjects now returns with a brand-new compilation of fascinating problems and solutions in recreational mathematics. This latest volume gathers together the top experts in recreational math and presents a compelling look at board games, card games, dice, toys, computer games, and much more. The book is divided into five parts: puzzles and brainteasers, geometry and topology, graph theory, games of chance, and computational complexity. Readers will discover what origami, roulette wheels, and even the game of Trouble can teach about math. Essays contain new results, and the contributors include short expositions on their topic’s background, providing a framework for understanding the relationship between serious mathematics and recreational games. Mathematical areas explored include combinatorics, logic, graph theory, linear algebra, geometry, topology, computer science, operations research, probability, game theory, and music theory. Investigating an eclectic mix of games and puzzles, The Mathematics of Various Entertaining Subjects is sure to entertain, challenge, and inspire academic mathematicians and avid math enthusiasts alike.
Book Synopsis Glimpses into the World of Mathematics by : LIT Verlag
Download or read book Glimpses into the World of Mathematics written by LIT Verlag and published by LIT Verlag. This book was released on 2021-01-01 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: Essays collected in this volume deal with various problems from the philosophy of mathematics. What connects them are two questions: how mathematics is created and how it is acquired. In 'Three Worlds of Mathematics' we are familiarized with David Tall's ideas pertaining to the embodied, symbolic and formal worlds of mathematics. In 'Basic Ideas of Intuitionism', we focus on an epistemological approach to mathematics which is distinctive to constructive mathematics. The author focuses on the computational content of intuitionistic logic and shows how it relates to functional programming. 'The Brave Mathematical Ant' carefully selects mathematical puzzles related to teaching experiences in a way that the solution requires creativity and is not obtainable by following an algorithm. Moreover the solution gives us some new insight into the underlying idea. 'Degrees Of Accessibility Of Mathematical Objects' discusses various criteria which can be used to judge accessibility of mathematical objects. We find logical complexity, range of applications, existence of a physical model as well as aesthetic values. Jerzy Pogonowski, Faculty of Psychology and Cognitive Sciences, Adam Mickiewicz University, Pozna? Szymon Chlebowski, Faculty of Psychology and Cognitive Sciences, Adam Mickiewicz University, Pozna? Barbara Borkowicz, Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Pozna?
