In it, Russell offers a nontechnical, undogmatic account of his philosophical criticism as it relates to arithmetic and logic. Rather than an exhaustive treatment, however, the influential philosopher and mathematician focuses on certain issues of mathematical logic that, to his mind, invalidated much traditional and contemporary philosophy.In dealing with such topics as number, order, relations, limits and continuity, propositional functions, descriptions, and classes, Russell writes in a clear, accessible manner, requiring neither a knowledge of mathematics nor an aptitude for mathematical symbolism. The result is a thought-provoking excursion into the fascinating realm where mathematics and philosophy meet — a philosophical classic that will be welcomed by any thinking person interested in this crucial area of modern thought.

    Today, these paradoxes remain on the cutting edge of our investigations into the fabric of space and time. Zeno's Paradox uses the motion paradox as a jumping-off point for an exploration of the twenty-five-hundred-year quest to uncover the true nature of the universe. From Galileo to Einstein to Stephen Hawking, some of the greatest minds in history have tackled the problem and made spectacular breakthroughs, but through it all, the paradox of motion remains.

    Following closely behind is y, or gamma, a constant that arises in many mathematical areas yet maintains a profound sense of mystery. In a tantalizing blend of history and mathematics, Julian Havil takes the reader on a journey through logarithms and the harmonic series, the two defining elements of gamma, toward the first account of gamma's place in mathematics. Introduced by the Swiss mathematician Leonhard Euler (1707-1783), who figures prominently in this book, gamma is defined as the limit of the sum of 1 + 1/2 + 1/3 + . . . Up to 1/n, minus the natural logarithm of n--the numerical value being 0.5772156. . . . But unlike its more celebrated colleagues π and e, the exact nature of gamma remains a mystery--we don't even know if gamma can be expressed as a fraction. Among the numerous topics that arise during this historical odyssey into fundamental mathematical ideas are the Prime Number Theorem and the most important open problem in mathematics today--the Riemann Hypothesis (though no proof of either is offered!). Sure to be popular with not only students and instructors but all math aficionados, Gamma takes us through countries, centuries, lives, and works, unfolding along the way the stories of some remarkable mathematics from some remarkable mathematicians.-- "Notices of the American Mathematical Society"

    Now he brings his considerable talents to the history of one of math's most enduring puzzles: the seemingly paradoxical nature of infinity.Is infinity a valid mathematical property or a meaningless abstraction? The nineteenth-century mathematical genius Georg Cantor's answer to this question not only surprised him but also shook the very foundations upon which math had been built. Cantor's counterintuitive discovery of a progression of larger and larger infinities created controversy in his time and may have hastened his mental breakdown, but it also helped lead to the development of set theory, analytic philosophy, and even computer technology.Smart, challenging, and thoroughly rewarding, Wallace's tour de force brings immediate and high-profile recognition to the bizarre and fascinating world of higher mathematics.

    Written by Amy Eldridge, founder and CEO of Love Without Boundaries, this poignant chronicle of LWB's life-changing work, told through the stories of individual children, offers personal insight into the complex issues surrounding orphan care, abandonment, international aid, and adoption. Both thought-provoking and inspirational, "The Heart of an Orphan" reminds us all that while the needs of vulnerable children around the world may seem overwhelming, the human heart triumphs in believing that every life has value and every child deserves love.

    You may find it for free on the web. Purchase of the Kindle edition includes wireless delivery.

    Three modern day Tom Sawyers, with no caving expertise but an abundance of bravado, made Hannibal ground zero for a terrifying calamity that would leave its traumatic mark for half a century. Joel Hoag, his brother Billy, and their friend Craig Dowell vanished after exploring a vast and complex maze cave system that had been exposed by highway construction. Fifty years later, their fate remains the ultimate unsolved mystery.

    In Peter Woit's view, superstring theory is just such an idea. In Not Even Wrong , he shows that what many physicists call superstring "theory" is not a theory at all. It makes no predictions, even wrong ones, and this very lack of falsifiability is what has allowed the subject to survive and flourish. Not Even Wrong explains why the mathematical conditions for progress in physics are entirely absent from superstring theory today and shows that judgments about scientific statements, which should be based on the logical consistency of argument and experimental evidence, are instead based on the eminence of those claiming to know the truth. In the face of many books from enthusiasts for string theory, this book presents the other side of the story.

    Space is the venue of physics; it's where things exist, where they move and take shape. Yet over the past few decades, physicists have discovered a phenomenon that operates outside the confines of space and time: nonlocality-the ability of two particles to act in harmony no matter how far apart they may be. It appears to be almost magical. Einstein grappled with this oddity and couldn't come to terms with it, describing it as "spooky action at a distance." More recently, the mystery has deepened as other forms of nonlocality have been uncovered. This strange occurrence, which has direct connections to black holes, particle collisions, and even the workings of gravity, holds the potential to undermine our most basic understandings of physical reality. If space isn't what we thought it was, then what is it? In Spooky Action at a Distance, George Musser sets out to answer that question, offering a provocative exploration of nonlocality and a celebration of the scientists who are trying to explain it. Musser guides us on an epic journey into the lives of experimental physicists observing particles acting in tandem, astronomers finding galaxies that look statistically identical, and cosmologists hoping to unravel the paradoxes surrounding the big bang. He traces the often contentious debates over nonlocality through major discoveries and disruptions of the twentieth century and shows how scientists faced with the same undisputed experimental evidence develop wildly different explanations for that evidence. Their conclusions challenge our understanding of not only space and time but also the origins of the universe-and they suggest a new grand unified theory of physics. Delightfully readable, Spooky Action at a Distance is a mind-bending voyage to the frontiers of modern physics that will change the way we think about reality.Long-listed for the 2016 PEN/E. O. Wilson Literary Science Writing Award“An important book that provides insight into key new developments in our understanding of the nature of space, time and the universe. It will repay careful study.” —John Gribbin, The Wall Street Journal “An endlessly surprising foray into the current mother of physics' many knotty mysteries, the solving of which may unveil the weirdness of quantum particles, black holes, and the essential unity of nature.” —Kirkus Reviews (starred review)

    Indeed, numbers are part of every discipline in the sciences and the arts.With 350 illustrations, including diagrams, photographs and computer imagery, the book chronicles the centuries-long search for the meaning of numbers by famous and lesser-known mathematicians, and explains the puzzling aspects of the mathematical world. Topics include:The earliest ideas of numbers and counting Patterns, logic, calculating Natural, perfect, amicable and prime numbers Numerology, the power of numbers, superstition The computer, the Enigma Code Infinity, the speed of light, relativity Complex numbers The Big Bang and Chaos theories The Philosopher's Stone. The Book of Numbers shows enthusiastically that numbers are neither boring nor dull but rather involve intriguing connections, rivalries, secret documents and even mysterious deaths.

    The Americans were outsiders to the sport, the underdogs of the event, a 500-to-1 long shot. But they were also proud and loyal men -- to one another, to their communities, and certainly to their country. Facing almost no time to prepare, opponents with superior training, and skepticism from the rest of the world, this ragtag group of unknowns was inspired to a stunning victory over England and one of the most thrilling upsets in the history of sports.Written by critically acclaimed author Geoffrey Douglas, and now a film directed by David Anspaugh (Hoosiers), The Game of Their Lives takes us back to a time before million-dollar contracts and commercial endorsements, and introduces us to the athletes -- the Americans -- who showed the world just how far a long shot could really go.

    It certainly is the strangest idea that humans have ever thought. Where did it come from and what is it telling us about our Universe? Can there actually be infinities? Is matter infinitely divisible into ever-smaller pieces? But infinity is also the place where things happen that don't. All manner of strange paradoxes and fantasies characterize an infinite universe. If our Universe is infinite then an infinite number of exact copies of you are, at this very moment, reading an identical sentence on an identical planet somewhere else in the Universe. Now Infinity is the darling of cutting edge research, the measuring stick used by physicists, cosmologists, and mathematicians to determine the accuracy of their theories. From the paradox of Zeno’s arrow to string theory, Cambridge professor John Barrow takes us on a grand tour of this most elusive of ideas and describes with clarifying subtlety how this subject has shaped, and continues to shape, our very sense of the world in which we live. The Infinite Book is a thoroughly entertaining and completely accessible account of the biggest subject of them all–infinity.

    It was a sea in name only. It was actually a bone dry, ancient dusty basin pockmarked with craters and littered with rocks and boulders. Somewhere in that 500 mile diameter basin, the astronauts would attempt to make Mankind’s first landing on the Moon. Neil Armstrong would pilot the Lunar Module “Eagle” during its twelve minute descent from orbit down to a landing. Col. Edwin “Buzz” Aldrin would assist him. On the way down they would encounter a host of problems, any one of which could have potentially caused them to have to call off the landing, or, even worse, die making the attempt. The problems were all technical-communications problems, computer problems, guidance problems, sensor problems. Armstrong and Aldrin faced the very real risk of dying by the very same technical sword that they had to live by in order to accomplish the enormous task of landing on the Moon for the first time. Yet the human skills Armstrong and Aldrin employed would be more than equal to the task. Armstrong’s formidable skills as an aviator, honed from the time he was a young boy, would serve him well as he piloted Eagle down amidst a continuing series of systems problems that might have fatally distracted a lesser aviator. Armstrong’s brilliant piloting was complemented by Aldrin’s equally remarkable discipline and calmness as he stoically provided a running commentary on altitude and descent rate while handling systems problems that threatened the landing. Finally, after a harrowing twelve and a half minutes, Armstrong gently landed Eagle at “Tranquility Base”, a name he had personally chosen to denote the location of the first Moon landing. In “Landing Eagle-Inside the Cockpit During the First Moon Landing”, author Mike Engle gives a minute by minute account of the events that occurred throughout Eagle’s descent and landing on the Moon. Engle, a retired NASA engineer and Mission Control flight controller, uses NASA audio files of actual voice recordings made inside Eagle’s cockpit during landing to give the reader an “inside the cockpit” perspective on the first Moon landing. Engle’s transcripts of these recordings, along with background material on the history and technical details behind the enormous effort to accomplish the first Moon landing, give a new and fascinating insight into the events that occurred on that remarkable day fifty years ago.

    Until the day he heard something so astonishing that he had an epiphany: rather than quashing rare or bizarre sounds, we should be celebrating these sonic treasures.This is the story of his investigation into the mysteries of these Sonic Wonders of the World. In the Mojave Desert he finds sand dunes that sing. In France he discovers an echo that tells jokes. In California he drives down a musical road that plays the William Tell Overture. In Cathedrals across the world he learns how acoustics changed the history of the Church.Touching on physics, music, archaeology, neuroscience, biology, and design, Cox explains how sound is made and altered by the environment and how our body reacts to peculiar noises – from the exotic sonic wonders he encounters on his journey, or the equally unique and surprising sounds of our everyday environment.In a world dominated by the visual, Sonic Wonderland encourages us to become better listeners and to open our ears to the glorious cacophony around us. Listen to a selection of astonishing sounds here: https://soundcloud.com/sonicwonderland

    If today you’ve listened to recorded music, watched a television show or movie, plugged something into an electric socket, had an X-ray, turned on your car, spoke on the telephone, or flicked on an electric light, you have Edison to thank for his pioneering work in these fields, and many more. Yet Edison is all too often remembered in popular culture only as villain for his feuds with other inventors, most notably the mad genius Nikola Tesla. In this thrilling, compact biography, Alexander Kennedy sorts fact from fiction in the life of the most prolific inventor in human history. We follow Edison, the ultimate self-made man, from his origins as a Michigan telegraph boy to the pinnacle of success as an industrial titan. Along the way, Kennedy carefully explains each of Edison’s key breakthroughs as well as the blots on his record, such as his anti-Semitism and his unhappy family life. The portrait that emerges is a man who is neither hero nor villain, sometimes a saint and sometimes a sinner—but always a genius... "Genius is one percent inspiration and ninety-nine percent perspiration." - Thomas Edison Buy Now to Discover: Explanations of Edison’s most important breakthroughs, written in accessible layman’s language. The founding of Menlo Park, one of the world’s greatest laboratories. The true story of Edison’s rivalry with Tesla. Edison’s pioneering role in discovering the health effects of tobacco. The surprising history of the electric chair and the electrocution of Topsy the elephant. Edison’s friendship with Henry Ford—and the trouble it led him into. Edison’s role in World War I. Read Your Book Now Your book will be instantly and automatically delivered to your Kindle device, smartphone, tablet, and computer. Money Back Guarantee If you start reading our book and are not completely satisfied with your purchase, simply return it to Amazon within 7 days for a full refund. Go to Your Account -> Manage Your Content and Devices -> Find the Book -> Return for Full Refund. Buy Now and Read the True Story of Thomas Edison Thank you in advance for buying our book. We know you'll love it!