Satan Cantor And Infinity And Other Mind Bogglin

Author : Raymond M. Smullyan
Publisher : Knopf
Page : 281 pages
File Size : 52,7 Mb
Release : 2012-05-30
Category : Games & Activities
ISBN : 9780307819826

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Satan, Cantor, And Infinity And Other Mind-bogglin by Raymond M. Smullyan Pdf

More than two hundred new and challenging logic puzzles—the simplest brainteaser to the most complex paradoxes in contemporary mathematical thinking—from our topmost puzzlemaster (“the most entertaining logician who ever lived,” Martin Gardner has called him). Our guide to the puzzles is the Sorcerer, who resides on the Island of Knights and Knaves, where knights always tell the truth and knaves always lie, and he introduces us to the amazing magic—logic—that enables to discover which inhabitants are which. Then, in a picaresque adventure in logic, he takes us to the planet Og, to the Island of Partial Silence, and to a land where metallic robots wearing strings of capital letters are noisily duplicating and dismantling themselves and others. The reader’s job is to figure out how it all works. Finally, we accompany the Sorcerer on an alluring tour of Infinity which includes George Cantor’s amazing mathematical insights. The tour (and the book) ends with Satan devising a diabolical puzzle for one of Cantor’s prize students—who outwits him! In sum: a devilish magician’s cornucopia of puzzles—a delight for every age and level of ability.

Author : Raymond Smullyan
Publisher : Unknown
Page : 270 pages
File Size : 41,5 Mb
Release : 1993
Category : Gödel's theorem
ISBN : 0192861611

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Satan, Cantor and Infinity by Raymond Smullyan Pdf

Author : Raymond M. Smullyan
Publisher : Unknown
Page : 128 pages
File Size : 52,6 Mb
Release : 1994-06-01
Category : Electronic
ISBN : 0517118009

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Satan, Cantor and Infinity by Raymond M. Smullyan Pdf

Author : Jason Rosenhouse
Publisher : Princeton University Press
Page : 348 pages
File Size : 44,8 Mb
Release : 2022-09-27
Category : Mathematics
ISBN : 9780691242026

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Games for Your Mind by Jason Rosenhouse Pdf

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 : Matt Cook
Publisher : MIT Press
Page : 369 pages
File Size : 45,9 Mb
Release : 2021-08-03
Category : Mathematics
ISBN : 9780262542296

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Sleight of Mind by Matt Cook Pdf

This “fun, brain-twisting book . . . will make you think” as it explores more than 75 paradoxes in mathematics, philosophy, physics, and the social sciences (Sean Carroll, New York Times–bestselling author of Something Deeply Hidden). Paradox is a sophisticated kind of magic trick. A magician’s purpose is to create the appearance of impossibility, to pull a rabbit from an empty hat. Yet paradox doesn’t require tangibles, like rabbits or hats. Paradox works in the abstract, with words and concepts and symbols, to create the illusion of contradiction. There are no contradictions in reality, but there can appear to be. In Sleight of Mind, Matt Cook and a few collaborators dive deeply into more than 75 paradoxes in mathematics, physics, philosophy, and the social sciences. As each paradox is discussed and resolved, Cook helps readers discover the meaning of knowledge and the proper formation of concepts—and how reason can dispel the illusion of contradiction. The journey begins with “a most ingenious paradox” from Gilbert and Sullivan’s Pirates of Penzance. Readers will then travel from Ancient Greece to cutting-edge laboratories, encounter infinity and its different sizes, and discover mathematical impossibilities inherent in elections. They will tackle conundrums in probability, induction, geometry, and game theory; perform “supertasks”; build apparent perpetual motion machines; meet twins living in different millennia; explore the strange quantum world—and much more.

Author : John Sladek
Publisher : Lulu.com
Page : 258 pages
File Size : 45,5 Mb
Release : 2024-06-25
Category : Electronic
ISBN : 9780244158774

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New Maps: More Uncollected John Sladek by John Sladek Pdf

Author : Tamás Rudas
Publisher : SAGE Publications
Page : 489 pages
File Size : 51,7 Mb
Release : 2008-02-21
Category : Social Science
ISBN : 9781483303659

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Handbook of Probability by Tamás Rudas Pdf

"This is a valuable reference guide for readers interested in gaining a basic understanding of probability theory or its applications in problem solving in the other disciplines." —CHOICE Providing cutting-edge perspectives and real-world insights into the greater utility of probability and its applications, the Handbook of Probability offers an equal balance of theory and direct applications in a non-technical, yet comprehensive, format. Editor Tamás Rudas and the internationally-known contributors present the material in a manner so that researchers of various backgrounds can use the reference either as a primer for understanding basic probability theory or as a more advanced research tool for specific projects requiring a deeper understanding. The wide-ranging applications of probability presented make it useful for scholars who need to make interdisciplinary connections in their work. Key Features Contains contributions from the international who′s-who of probability across several disciplines Offers an equal balance of theory and applications Explains the most important concepts of probability theory in a non-technical yet comprehensive way Provides in-depth examples of recent applications in the social and behavioral sciences as well as education, business, and law Intended Audience This Handbook makes an ideal library purchase. In addition, this volume should also be of interest to individual scholars in the social and behavioral sciences.

Author : Cristoforo Sergio Bertuglia,Franco Vaio
Publisher : OUP Oxford
Page : 402 pages
File Size : 45,9 Mb
Release : 2005-05-12
Category : Mathematics
ISBN : 9780191524448

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Nonlinearity, Chaos, and Complexity by Cristoforo Sergio Bertuglia,Franco Vaio Pdf

Covering a broad range of topics, this text provides a comprehensive survey of the modelling of chaotic dynamics and complexity in the natural and social sciences. Its attention to models in both the physical and social sciences and the detailed philosophical approach make this an unique text in the midst of many current books on chaos and complexity. Part 1 deals with the mathematical model as an instrument of investigation. The general meaning of modelling and, more specifically, questions concerning linear modelling are discussed. Part 2 deals with the theme of chaos and the origin of chaotic dynamics. Part 3 deals with the theme of complexity: a property of the systems and of their models which is intermediate between stability and chaos. Including an extensive index and bibliography along with numerous examples and simplified models, this is an ideal course text.

Author : George P. Hansen
Publisher : Xlibris Corporation
Page : 564 pages
File Size : 41,9 Mb
Release : 2001-08-20
Category : Body, Mind & Spirit
ISBN : 1462812899

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The Trickster and the Paranormal by George P. Hansen Pdf

Paranormal and supernatural events have been reported for millennia. They have fostered history’s most important cultural transformations (e.g., via the miracles of Moses, Jesus, Mohammed). Paranormal phenomena are frequently portrayed in the world’s greatest art and literature, as well as in popular TV shows and movies. Most adults in the U.S. believe in them. Yet they have a marginal place in modern culture. No university departments are devoted to studying psychic phenomena. In fact, a panoply of scientists now aggressively denounces them. These facts present a deeply puzzling situation. But they become coherent after pondering the trickster figure, an archaic being found worldwide in mythology and folklore. The trickster governs paradox and the irrational, but his messages are concealed. This book draws upon theories of the trickster from anthropology, folklore, sociology, semiotics, and literary criticism. It examines psychic phenomena and UFOs and explains why they are so problematical for science.

Author : Kumaraswamy Velupillai
Publisher : Springer Nature
Page : 447 pages
File Size : 40,9 Mb
Release : 2021-03-08
Category : Business & Economics
ISBN : 9783030581312

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Keynesian, Sraffian, Computable and Dynamic Economics by Kumaraswamy Velupillai Pdf

This book explores an alternative approach to the conventional, market-based, view of economic theory and economic policy, at theoretical, numerical and applicable levels. The chapters provide a theoretical, empirical, and algorithmic approach to marcodynamics, Sraffian economics, and current policy issues. Post-Keynesian macroeconomics, business cycle theory, the trade cycle, microfoundations, and the Philips Machine are also covered. This book aims to challenge orthodox ideas and provide a lens through which to honour the work of Stefano Zambelli. It will be of relevant to students and academics interested in economics.

Author : Roze Hentschell,Kathy Lavezzo
Publisher : Lexington Books
Page : 307 pages
File Size : 55,8 Mb
Release : 2012
Category : Literary Criticism
ISBN : 9781611493818

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Essays in Memory of Richard Helgerson by Roze Hentschell,Kathy Lavezzo Pdf

Essays in Memory of Richard Helgerson: Laureations brings together new essays by leading literary scholars of the British and European middle ages and early modern period who have been influenced by the groundbreaking scholarship of Richard Helgerson. The contributors evince the ongoing impact of Helgerson's work in critical debates including those of nationalism, formal analysis, and literary careerism.

Author : Terry Stickels
Publisher : Courier Dover Publications
Page : 160 pages
File Size : 55,6 Mb
Release : 2016-02-29
Category : Mathematics
ISBN : 9780486810577

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The Big Brain Puzzle Book by Terry Stickels Pdf

Give your brain a series of workouts that'll make it bigger and better! This colossal collection of more than 200 puzzles simultaneously provides a relaxing atmosphere for mental play and stimulates brain activity. Created by an internationally renowned puzzle-maker, the challenges involve creative thinking, mathematics, logic, language and wordplay, visuals, and general knowledge. Kick start your neurons at Level 1 with puzzles involving hidden words, math calculations, and logical conundrums. At Level 2, fire up your synapses with cryptograms, scrambled sentences, and visual challenges. And activate your brain at Level 3 with fill-in-the-blanks, search-a-words, magic squares, and much more. If you get stumped, an answer key with complete solutions appears at the end.

Author : Cardano, Gerolamo
Publisher : Courier Dover Publications
Page : 68 pages
File Size : 42,7 Mb
Release : 2015-12-16
Category : Games & Activities
ISBN : 9780486797939

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The Book on Games of Chance by Cardano, Gerolamo Pdf

Mathematics was only one area of interest for Gerolamo Cardano ― the sixteenth-century astrologer, philosopher, and physician was also a prolific author and inveterate gambler. Gambling led Cardano to the study of probability, and he was the first writer to recognize that random events are governed by mathematical laws. Published posthumously in 1663, Cardano's Liber de ludo aleae (Book on Games of Chance) is often considered the major starting point of the study of mathematical probability. The Italian scholar formulated some of the field's basic ideas more than a century before the better-known correspondence of Pascal and Fermat. Although his book had no direct influence on other early thinkers about probability, it remains an important antecedent to later expressions of the science's tenets.

Author : Irving Kaplansky
Publisher : Courier Dover Publications
Page : 113 pages
File Size : 51,9 Mb
Release : 2018-12-18
Category : Mathematics
ISBN : 9780486828503

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Infinite Abelian Groups by Irving Kaplansky Pdf

In the Introduction to this concise monograph, the author states his two main goals: first, "to make the theory of infinite abelian groups available in a convenient form to the mathematical public; second, to help students acquire some of the techniques used in modern infinite algebra." Suitable for advanced undergraduates and graduate students in mathematics, the text requires no extensive background beyond the rudiments of group theory. Starting with examples of abelian groups, the treatment explores torsion groups, Zorn's lemma, divisible groups, pure subgroups, groups of bounded order, and direct sums of cyclic groups. Subsequent chapters examine Ulm's theorem, modules and linear transformations, Banach spaces, valuation rings, torsion-free and complete modules, algebraic compactness, characteristic submodules, and the ring of endomorphisms. Many exercises appear throughout the book, along with a guide to the literature and a detailed bibliography.

Author : M. M. Rao
Publisher : Courier Corporation
Page : 322 pages
File Size : 43,8 Mb
Release : 2011-01-01
Category : Mathematics
ISBN : 9780486481227

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Foundations of Stochastic Analysis by M. M. Rao Pdf

Stochastic analysis involves the study of a process involving a randomly determined sequence of observations, each of which represents a sample of one element of probability distribution. This volume considers fundamental theories and contrasts the natural interplay between real and abstract methods. Starting with the introduction of the basic Kolmogorov-Bochner existence theorem, the text explores conditional expectations and probabilities as well as projective and direct limits. Subsequent chapters examine several aspects of discrete martingale theory, including applications to ergodic theory, likelihood ratios, and the Gaussian dichotomy theorem. Prerequisites include a standard measure theory course. No prior knowledge of probability is assumed; therefore, most of the results are proved in detail. Each chapter concludes with a problem section that features many hints and facts, including the most important results in information theory.