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Mathematical Fallacies And Paradoxes
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Book Synopsis Mathematical Fallacies and Paradoxes by : Bryan Bunch
Download or read book Mathematical Fallacies and Paradoxes written by Bryan Bunch and published by Courier Corporation. This book was released on 2012-10-16 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stimulating, thought-provoking analysis of the most interesting intellectual inconsistencies in mathematics, physics, and language, including being led astray by algebra (De Morgan's paradox). 1982 edition.
Book Synopsis Paradoxes in Mathematics by : Stanley J. Farlow
Download or read book Paradoxes in Mathematics written by Stanley J. Farlow and published by Courier Corporation. This book was released on 2014-04-23 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: Compiled by a prominent educator and author, this volume presents an intriguing mix of mathematical paradoxes — phenomena with surprising outcomes that can be resolved mathematically. Students and puzzle enthusiasts will get plenty of enjoyment mixed with a bit of painless mathematical instruction from 30 conundrums, including The Birthday Paradox, Aristotle's Magic Wheel, and A Greek Tragedy.
Book Synopsis The Pea and the Sun by : Leonard M. Wapner
Download or read book The Pea and the Sun written by Leonard M. Wapner and published by CRC Press. This book was released on 2005-04-29 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Take an apple and cut it into five pieces. Would you believe that these five pieces can be reassembled in such a fashion so as to create two apples equal in shape and size to the original? Would you believe that you could make something as large as the sun by breaking a pea into a finite number of pieces and putting it back together again? Neither did Leonard Wapner, author of The Pea and the Sun, when he was first introduced to the Banach-Tarski paradox, which asserts exactly such a notion. Written in an engaging style, The Pea and the Sun catalogues the people, events, and mathematics that contributed to the discovery of Banach and Tarski's magical paradox. Wapner makes one of the most interesting problems of advanced mathematics accessible to the non-mathematician.
Book Synopsis Riddles in Mathematics by : Eugene P Northrop
Download or read book Riddles in Mathematics written by Eugene P Northrop and published by Courier Corporation. This book was released on 2014-08-20 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Math enthusiasts of all ages will delight in this collection of more than 200 riddles drawn from every mathematical discipline. Only an elementary background is needed to enjoy and solve the tremendous variety of puzzles, which include riddles based on geometry, trigonometry, algebra, infinity, probability, and logic. Includes complete solutions and 113 illustrations"--
Book Synopsis One Equals Zero, and Other Mathematical Surprises by : Nitsa Movshovitz-Hadar
Download or read book One Equals Zero, and Other Mathematical Surprises written by Nitsa Movshovitz-Hadar and published by Lawrence Erlbaum Associates. This book was released on 2013 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Originally published by Key Curriculum Press"--t.p.
Book Synopsis Paradoxes in Probability Theory by : William Eckhardt
Download or read book Paradoxes in Probability Theory written by William Eckhardt and published by Springer Science & Business Media. This book was released on 2012-09-26 with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt: Paradoxes provide a vehicle for exposing misinterpretations and misapplications of accepted principles. This book discusses seven paradoxes surrounding probability theory. Some remain the focus of controversy; others have allegedly been solved, however the accepted solutions are demonstrably incorrect. Each paradox is shown to rest on one or more fallacies. Instead of the esoteric, idiosyncratic, and untested methods that have been brought to bear on these problems, the book invokes uncontroversial probability principles, acceptable both to frequentists and subjectivists. The philosophical disputation inspired by these paradoxes is shown to be misguided and unnecessary; for instance, startling claims concerning human destiny and the nature of reality are directly related to fallacious reasoning in a betting paradox, and a problem analyzed in philosophy journals is resolved by means of a computer program.
Download or read book Paradoxes written by Hamza E. Alsamraee and published by Curious Math Publications. This book was released on 2020-09-10 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: Does .999?=1? Can you cut and reassemble a sphere into two identically sized spheres? Is the consistency of mathematical systems unprovable? Surprisingly, the answer to all of these questions is yes! And at the heart of each question, there lies paradox. For millennia, paradoxes have shaped mathematics and guided mathematical progress forwards. From the ancient paradoxes of Zeno to the modern paradoxes of Russell, paradoxes remind us of the constant need to revamp our mathematical understanding. It is for this reason that paradoxes are so important. Paradoxes: Guiding Forces in Mathematical Exploration provides a survey of mathematical paradoxes spanning a wide variety of topics. It delves into each paradox mathematically, philosophically, and historically, and attempts to provide a full picture of how paradoxes contributed to the progress of mathematics and guided it in many ways. In addition, it discusses how paradoxes can be useful as educational tools. All of that, plus the fact that it is written in a way that is accessible to anyone with a high school background in mathematics! Entertaining and educational, this book will appeal to any reader looking for a mathematical and philosophical challenge.
Book Synopsis Fads and Fallacies in the Name of Science by : Martin Gardner
Download or read book Fads and Fallacies in the Name of Science written by Martin Gardner and published by Courier Corporation. This book was released on 2012-05-04 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fair, witty appraisal of cranks, quacks, and quackeries of science and pseudoscience: hollow earth, Velikovsky, orgone energy, Dianetics, flying saucers, Bridey Murphy, food and medical fads, and much more.
Book Synopsis Mathematics, Magic and Mystery by : Martin Gardner
Download or read book Mathematics, Magic and Mystery written by Martin Gardner and published by Courier Corporation. This book was released on 2014-12-02 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Famed puzzle expert explains math behind a multitude of mystifying tricks: card tricks, stage "mind reading," coin and match tricks, counting out games, geometric dissections, etc. More than 400 tricks. 135 illustrations.
Download or read book Sleight of Mind written by Matt Cook and published by MIT Press. This book was released on 2021-08-03 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis One Equals Zero and Other Mathematical Surprises by : Nitsa Movshovitz-Hadar
Download or read book One Equals Zero and Other Mathematical Surprises written by Nitsa Movshovitz-Hadar and published by . This book was released on 1998 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Hexaflexagons, Probability Paradoxes, and the Tower of Hanoi by : Martin Gardner
Download or read book Hexaflexagons, Probability Paradoxes, and the Tower of Hanoi written by Martin Gardner and published by . This book was released on 2008-09-08 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first of fifteen updated editions of the collected Mathematical Games of Martin Gardner, king of recreational mathematics.
Book Synopsis Mathematical Fallacies, Flaws, and Flimflam by : Edward Barbeau
Download or read book Mathematical Fallacies, Flaws, and Flimflam written by Edward Barbeau and published by MAA. This book was released on 2000-06-15 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through hard experience mathematicians have learned to subject even the most 'evident' assertions to rigorous scrutiny, as intuition can often be misleading. This book collects and analyses a mass of such errors, drawn from the work of students, textbooks, and the media, as well as from professional mathematicians themselves.
Book Synopsis Paradoxes from A to Z by : Michael Clark
Download or read book Paradoxes from A to Z written by Michael Clark and published by Psychology Press. This book was released on 2002 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'This sentence is false'. Is it? If a hotel with an infinite number of rooms is fully occupied, can it still accommodate a new guest? How can we have emotional responses to fiction, when we know that the objects of our emotions do not exist?
Book Synopsis The Improbability Principle by : David J. Hand
Download or read book The Improbability Principle written by David J. Hand and published by Macmillan. This book was released on 2014-02-11 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: A well-known statistician presents his theory that extraordinary and rare events are actually commonplace and cites stories of two-time lottery winners and other bizarre coincidences to support his theory that unlikely events statistically must happen. 50,000 first printing.
Book Synopsis Bernoulli's Fallacy by : Aubrey Clayton
Download or read book Bernoulli's Fallacy written by Aubrey Clayton and published by Columbia University Press. This book was released on 2021-08-03 with total page 641 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is a logical flaw in the statistical methods used across experimental science. This fault is not a minor academic quibble: it underlies a reproducibility crisis now threatening entire disciplines. In an increasingly statistics-reliant society, this same deeply rooted error shapes decisions in medicine, law, and public policy with profound consequences. The foundation of the problem is a misunderstanding of probability and its role in making inferences from observations. Aubrey Clayton traces the history of how statistics went astray, beginning with the groundbreaking work of the seventeenth-century mathematician Jacob Bernoulli and winding through gambling, astronomy, and genetics. Clayton recounts the feuds among rival schools of statistics, exploring the surprisingly human problems that gave rise to the discipline and the all-too-human shortcomings that derailed it. He highlights how influential nineteenth- and twentieth-century figures developed a statistical methodology they claimed was purely objective in order to silence critics of their political agendas, including eugenics. Clayton provides a clear account of the mathematics and logic of probability, conveying complex concepts accessibly for readers interested in the statistical methods that frame our understanding of the world. He contends that we need to take a Bayesian approach—that is, to incorporate prior knowledge when reasoning with incomplete information—in order to resolve the crisis. Ranging across math, philosophy, and culture, Bernoulli’s Fallacy explains why something has gone wrong with how we use data—and how to fix it.
Download or read book Do Dice Play God? written by Ian Stewart and published by Profile Books. This book was released on 2019-06-06 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Uncertainty is everywhere. It lurks in every consideration of the future - the weather, the economy, the sex of an unborn child - even quantities we think that we know such as populations or the transit of the planets contain the possibility of error. It's no wonder that, throughout that history, we have attempted to produce rigidly defined areas of uncertainty - we prefer the surprise party to the surprise asteroid. We began our quest to make certain an uncertain world by reading omens in livers, tea leaves, and the stars. However, over the centuries, driven by curiosity, competition, and a desire be better gamblers, pioneering mathematicians and scientists began to reduce wild uncertainties to tame distributions of probability and statistical inferences. But, even as unknown unknowns became known unknowns, our pessimism made us believe that some problems were unsolvable and our intuition misled us. Worse, as we realized how omnipresent and varied uncertainty is, we encountered chaos, quantum mechanics, and the limitations of our predictive power. Bestselling author Professor Ian Stewart explores the history and mathematics of uncertainty. Touching on gambling, probability, statistics, financial and weather forecasts, censuses, medical studies, chaos, quantum physics, and climate, he makes one thing clear: a reasonable probability is the only certainty.
