Taking us on a journey through every fundamental field of science, as well as the history of civilization, art, moral values, and the theory of political institutions, Deutsch tracks how we form new explanations and drop bad ones, explaining the conditions under which progress—which he argues is potentially boundless—can and cannot happen. Hugely ambitious and highly original, The Beginning of Infinity explores and establishes deep connections between the laws of nature, the human condition, knowledge, and the possibility for progress.

    In A Brief History of Mathematical Thought, Luke Heaton explores how the language of mathematics has evolved over time, enabling new technologies and shaping the way people think. From stone-age rituals to algebra, calculus, and the concept of computation, Heaton shows the enormous influence of mathematics on science, philosophy and the broader human story. The book traces the fascinating history of mathematical practice, focusing on the impact of key conceptual innovations. Its structure of thirteen chapters split between four sections is dictated by a combination of historical and thematic considerations. In the first section, Heaton illuminates the fundamental concept of number. He begins with a speculative and rhetorical account of prehistoric rituals, before describing the practice of mathematics in Ancient Egypt, Babylon and Greece. He then examines the relationship between counting and the continuum of measurement, and explains how the rise of algebra has dramatically transformed our world. In the second section, he explores the origins of calculus and the conceptual shift that accompanied the birth of non-Euclidean geometries. In the third section, he examines the concept of the infinite and the fundamentals of formal logic. Finally, in section four, he considers the limits of formal proof, and the critical role of mathematics in our ongoing attempts to comprehend the world around us. The story of mathematics is fascinating in its own right, but Heaton does more than simply outline a history of mathematical ideas. More importantly, he shows clearly how the history and philosophy of maths provides an invaluable perspective on human nature.

    But those that aren't, those that purport to document or comment on such phenomena in what passes for "real life" vary across such a wide range of quality, credulity & comprehensibility that it's tempting to dismiss them all as pure badly-written hokum. Of course, as in any genre, no matter how microscopic, there are classics. Charles Fort's Book of the Damned is surely in the forefront. But once you get past the looming shadow of Charles Fort, matters become far murkier. Patrick Harpur's Daimonic Reality is a work that would surely make the top ten lists of many Fortean scholars. Subtitled A Field Guide to the Otherworld, Daimonic Reality synthesizes the reports of many different phenomena into a single Unified Field Theory of the Strange. It's an audacious attempt that largely succeeds. Harpur has a low key writing style that makes this work easy to read. His comprehensive knowledge of a wide variety of inexplicable events is impressive & entertaining. Most importantly, he has drawn together these disparate elements with a rather interesting philosophical take that looks to Jung, Fort, Blake, Yeats & beyond. There are enough elements in this stew to make it a really tasty treat for the hungry mind. Daimonic Reality is divided into three sections thru which Harpur journeys ever deeper into the mind behind the perceptions. But he's careful not to shortchange the perceptions & events themselves. Part One: Apparitions covers apparitions of all kinds, from UFOs to lights in the sky, from aliens & fairies to sightings of Black Dogs & Big Cats. Harpur's economical coverage of these subjects makes it easy for any level of Fortean reader to enjoy the individuality of each experience. But this treatment also enables the reader to step back & see the bigger picture, to move towards the idea of the otherworld. The individual reports are carefully chosen & beautifully written. Harpur takes a more substantial step towards the otherworld in Part Two: Vision. Starting with a discussion of "seeing things", he moves on to visions of Ladies, which are dominated by (but not exclusively) visions of the Blessed Virgin Mary. He discusses the evidence that these encounters leave behind, from fairy shoes to crop circles. (Coming soon to a theater near you.) He talked about the part that Imagination plays in the otherworld & finally reaches the mythic land itself. In Part Three: Otherworld Journeys, Harpur gives both practical & philosophical advice for otherworld journeys. He discusses the variety of journeys that one can have, from missing time to alien encounters, from a trip to fairyland to an out-of-body experience. When Harpur sticks to the practical, he has practically no peer in writing compelling prose about otherworldly experiences. His philosophical thoughts aren't quite as page-turning, but they're pithy, fascinating & pertinent. Harpur isn't content to merely provoke thought. He wants to invoke internal debate in the reader, & does so with some formal philosophical discussion that is difficult to pull off with the authority that Harpur achieves. He's a remarkably intelligent writer & his work requires a reader of nearly equal intelligence. You don't have to be a philosopher to read Harpur's work, but it certainly helps to be philosophically inclined. This isn't mere reportage of events, but a reasoned analysis, with conclusions that go well beyond 'Is it real or are they all just a bunch of crazy yahoos?' That there is an audience for this sort of thinking is shown by the eternal sales of the works of writers such as Carlos Castenada, not to mention the immense & increasing popularity of Fortean fiction, horror, science fiction & fantasy. That's because Harpur is looking to snatch something from the center of creation, something that is partly in the human mind & partly in the otherworld. Daimonic Reality does an excellent job grasping at the ineffable & getting it in print. As of 2/2003, this title is back in print by Pine Winds Press/Idyll Arbor. They've chosen an equally nice cover print, & are publishing the book as a sturdy US hardcover. Better yet, they're a small press, so you can buy directly from them. Since Harpur has managed to wrestle the ineffable into print, we've got to thank Pine Winds Press for keeping it in print.--Rick Kleffel

    By introducing us to the major characters and leading us through many historical twists and turns, Johnny slowly unravels the tale of how humanity built up a knowledge and understanding of shapes, numbers and patterns from ancient times, a story that leads directly to the technological wonderland we live in today. As Galileo said, 'Everything in the universe is written in the language of mathematics', and Wonders Beyond Numbers is your guide to this language.Mathematics is only one part of this rich and varied tale; we meet many fascinating personalities along the way, such as a mathematician who everyone has heard of but who may not have existed; a Greek philosopher who made so many mistakes that many wanted his books destroyed; a mathematical artist who built the largest masonry dome on earth, which builders had previously declared impossible; a world-renowned painter who discovered mathematics and decided he could no longer stand the sight of a brush; and a philosopher who lost his head, but only after he had died.Enriched with tales of colourful personalities and remarkable discoveries, there is also plenty of mathematics for keen readers to get stuck into. Written in Johnny Ball's characteristically light-hearted and engaging style, this book is packed with historical insight and mathematical marvels; join Johnny and uncover the wonders found beyond the numbers.

    In The Universe and the Teacup, K. C. Cole demystifies mathematics and shows us-with humor and wonderfully accessible stories-why math need not be frightening. Using the O. J. Simpson trial, the bell curve, and Emmy Noether, the nineteenth-century woman scientist whose work was essential for Einstein's theory of relativity, Cole helps us see that more than just being a tool, math is a key to understanding the beauty of everything from rainbows to relativity.

    These remarkable "lost" root races developed the first concepts of "good" and "evil", manipulated the forces of nature, laid the groundwork of all human legal and ethical systems, and defined and nurtured the distinctive yet complementary powers of men and women that brought humankind, many centuries ago, to its highest artistic, intellectual, and spiritual attainments.Through this discussion of our true origins, Cosmic Memory gives us a genuine foundation for our lives; allows us to realize our real value, dignity, and essence; enlightens us about our connection with the world around us; and shows us our highest goals, our true destiny.

    The ancient Greeks were so horrified by the implications of an endless number that they drowned the man who gave away the secret. And a German mathematician was driven mad by the repercussions of his discovery of transfinite numbers. Brian Clegg and Oliver Pugh’s brilliant graphic tour of infinity features a cast of characters ranging from Archimedes and Pythagoras to al-Khwarizmi, Fibonacci, Galileo, Newton, Leibniz, Cantor, Venn, Gödel and Mandelbrot, and shows how infinity has challenged the finest minds of science and mathematics. Prepare to enter a world of paradox.

    This stirring book reveals how scientific discovery has altered our perception of who we are and where we stand, and challenges us to weigh what we will do with that knowledge. Photos, many in color.

    The Greatest Secret of All clearly explains this law of manifestation but then takes it a quantum leap further, revealing what is truly important in life. We have what we need within us to do what we love, to be the people we dream of being, and to become completely fulfilled along the way — to become, as Abraham Maslow put it, self-actualized. We also have the capability, here and now, to create a world that works for everyone. In these pages, you will find the secret to a life of happiness, inner peace, ease, and fulfillment, and the secret that lets each of us contribute to making the world a better place for all.

    Now, in her latest book, Core Light Healing, her work continues with revolutionary new information on working with the creative process and the fourth level. The fourth-level, or astral, world bridges the creative pulse from the physical to the higher levels of reality and manifestation. Core Light Healing also chronicles Barbara Brennan’s life journey and personal experiences.In Core Light Healing you will discover: The nature of the creative process from the Human Energy Consciousness perspective How each of us creates blocks in our energy fields; how blocks look, interact, and ultimately cause dysfunction in our lives; and the process involved in the clearing of blocks and releasing our creative potential How to develop and work with High Sense Perception and its role in facilitating the clearing of blocks in our energy fields The nature of fourth-level reality and its vital role in the creative process The fourth level as it relates to healing relationships and the cord connections that underlie those relationships And much more Complete with full-color and black-and-white illustrations, Core Light Healing offers to take you on a journey to create the life you have always imagined.

    In Standard Deviations, economics professor Gary Smith walks us through the various tricks and traps that people use to back up their own crackpot theories. Sometimes, the unscrupulous deliberately try to mislead us. Other times, the well-intentioned are blissfully unaware of the mischief they are committing. Today, data is so plentiful that researchers spend precious little time distinguishing between good, meaningful indicators and total rubbish. Not only do others use data to fool us, we fool ourselves.With the breakout success of Nate Silver’s The Signal and the Noise, the once humdrum subject of statistics has never been hotter. Drawing on breakthrough research in behavioral economics by luminaries like Daniel Kahneman and Dan Ariely and taking to task some of the conclusions of Freakonomics author Steven D. Levitt, Standard Deviations demystifies the science behind statistics and makes it easy to spot the fraud all around.

    Which forces will prevail in this race to Omega? How will we cope with the awesome dangers and opportunities we must face? In this thoroughly rewritten, newly illustrated edition of his classic work 'The White Hole In Time', Russell shows how this unprecedented acceleration of our daily lives has come about, and how to find inner tranquility during these turbulent times. Here is an extraordinary and innovative vision of humanity, one that integrates science and technology with humanity's eternal quest for harmony and inner peace.

    

    In this book, he expands the points he has made, and claims that this debate is not so much about religion versus science, as about the nature of science itself. With infectious enthusiasm, he reveals the mechanics of evolutionary theory, explains how it is rooted in the testable and verifiable scientific method, and why it is therefore a sound explanation of our beginning. He argues passionately that to continue to assert otherwise, to continue to insist that creationism has a place in the science classroom is harmful not only to our children, but to the future of the greater world as well.

    Just about everyone has at least heard of Albert Einstein's formulation of 1905, which came into the world as something of an afterthought. But far fewer can explain his insightful linkage of energy to mass. David Bodanis offers an easily grasped gloss on the equation. Mass, he writes, "is simply the ultimate type of condensed or concentrated energy," whereas energy "is what billows out as an alternate form of mass under the right circumstances." Just what those circumstances are occupies much of Bodanis's book, which pays homage to Einstein and, just as important, to predecessors such as Maxwell, Faraday, and Lavoisier, who are not as well known as Einstein today. Balancing writerly energy and scholarly weight, Bodanis offers a primer in modern physics and cosmology, explaining that the universe today is an expression of mass that will, in some vastly distant future, one day slide back to the energy side of the equation, replacing the "dominion of matter" with "a great stillness"--a vision that is at once lovely and profoundly frightening. Without sliding into easy psychobiography, Bodanis explores other circumstances as well; namely, Einstein's background and character, which combined with a sterling intelligence to afford him an idiosyncratic view of the way things work--a view that would change the world. --Gregory McNamee