With exceptional clarity, Franz n gives careful, non-technical explanations both of what those theorems say and, more importantly, what they do not. No other book aims, as his does, to address in detail the misunderstandings and abuses of the incompleteness theorems that are so rife in popular discussions of their significance. As an antidote to the many spurious appeals to incompleteness in theological, anti-mechanist and post-modernist debates, it is a valuable addition to the literature." --- John W. Dawson, author of "Logical Dilemmas: The Life and Work of Kurt G del

    

    But in the same way that the science of space travel transforms our everyday lives, so research into telepathy, fortune-telling and out-of-body experiences produces remarkable insights into our brains, behaviour and beliefs. Paranormality embarks on a wild ghost chase into this new science of the supernatural and is packed with activities that allow you to experience the impossible. So throw away your crystals, ditch your lucky charms and cancel your subscription to Reincarnation Weekly. It is time to discover the real secrets of the paranormal. Learn how to control your dreams -- and leave your body behind Convince complete strangers that you know all about them Unleash the power of your unconscious mind.

    Designed to be both inspiration and guidebook for those new to mindfulness practice, Making Space offers easy-to-follow instructions for setting up a breathing room, listening to a bell, sitting, breathing, and walking meditations, and cooking and eating a meal in mindfulness. Whether you live alone or with a family, this beautifully illustrated book can help you create a sense of retreat and sanctuary at home.

    

    The most fundamental differences are philosophical, and readers of this book will emerge with a clearer understandingof paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. The first few chapters are about general aspects of mathematical thought. These are followed by discussions of more specific topics, and the book closes with a chapter answering common sociological questionsabout the mathematical community (such as Is it true that mathematicians burn out at the age of 25?) It is the ideal introduction for anyone who wishes to deepen their understanding of mathematics.About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundredsof key topics, from philosophy to Freud, quantum theory to Islam.

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

    A short Science Fiction novel by a distinguished Dutch mathematician which entertains and instructs in the multi-dimensional geometries of curved space and the expanding universe.

    The work of English clergyman, educator and Shakespearean scholar Edwin A. Abbott (1838-1926), it describes the journeys of A. Square [sic – ed.], a mathematician and resident of the two-dimensional Flatland, where women-thin, straight lines-are the lowliest of shapes, and where men may have any number of sides, depending on their social status.Through strange occurrences that bring him into contact with a host of geometric forms, Square has adventures in Spaceland (three dimensions), Lineland (one dimension) and Pointland (no dimensions) and ultimately entertains thoughts of visiting a land of four dimensions—a revolutionary idea for which he is returned to his two-dimensional world. Charmingly illustrated by the author, Flatland is not only fascinating reading, it is still a first-rate fictional introduction to the concept of the multiple dimensions of space. "Instructive, entertaining, and stimulating to the imagination." — Mathematics Teacher.

    Purchasers are entitled to a free trial membership in the General Books Club where they can select from more than a million books without charge. Subjects: Astronomy; History / General; Juvenile Nonfiction / Science

    Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be reasoned out--from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft--indeed, brilliant--instructions on stripping away irrelevancies and going straight to the heart of the problem.

    Three young friends meet over apricot cocktails at the Bec-de-Gaz bar on the rue Montparnasse. They are Jean-Paul Sartre, Simone de Beauvoir and their friend Raymond Aron, who opens their eyes to a radical new way of thinking. Pointing to his drink, he says, 'You can make philosophy out of this cocktail!'From this moment of inspiration, Sartre will create his own extraordinary philosophy of real, experienced life–of love and desire, of freedom and being, of cafés and waiters, of friendships and revolutionary fervour. It is a philosophy that will enthral Paris and sweep through the world, leaving its mark on post-war liberation movements, from the student uprisings of 1968 to civil rights pioneers.At the Existentialist Café tells the story of modern existentialism as one of passionate encounters between people, minds and ideas. From the ‘king and queen of existentialism'–Sartre and de Beauvoir–to their wider circle of friends and adversaries including Albert Camus, Martin Heidegger, Maurice Merleau-Ponty and Iris Murdoch, this book is an enjoyable and original journey through a captivating intellectual movement. Weaving biography and thought, Sarah Bakewell takes us to the heart of a philosophy about life that also changed lives, and that tackled the biggest questions of all: what we are and how we are to live.

    Here are Pythagoras, intoxicated by the mystical significance of numbers; Euclid, who gave the world the very idea of a proof; Leibniz and Newton, co-discoverers of the calculus; Cantor, master of the infinite; and Gödel, who in one magnificent proof placed everything in doubt. The elaboration of mathematical knowledge has meant nothing less than the unfolding of human consciousness itself. With his unmatched ability to make abstract ideas concrete and approachable, Berlinski both tells an engrossing tale and introduces us to the full power of what surely ranks as one of the greatest of all human endeavors.

    Most philosophers believe that our experience is locked inside our skulls, an unreliable representation of a quite different reality outside. Colour, smell and sound, they tell us, occur only in our heads. Yet when neuroscientists look inside our brains to see what’s going on, they find only billions of neurons exchanging electrical impulses and releasing chemical substances.Out of My Head tells the gripping, highly personal, often surprisingly funny, story of Tim Parks' quest to discover more about this fascinating topic. It frames complex metaphysical considerations and technical laboratory experiments in terms we can all understand. Above all, it invites us to see space, time, colour and smell, sounds and sensations in an entirely new way. The world will feel more real after reading it.

    Inside, he finds the first exact solution to the equations of general relativity, unaware that it contains a monster that could destroy his life's work.The great mathematician Alexander Grothendieck tunnels so deeply into abstraction that he tries to cut all ties with the world, terrified of the horror his discoveries might cause.Erwin Schrödinger and Werner Heisenberg battle over the soul of physics after creating two equivalent yet opposed versions of quantum mechanics. Their fight will tear the very fabric of reality, revealing a world stranger than they could have ever imagined.Using extraordinary, epoch-defining moments from the history of science, Benjamín Labatut plunges us into exhilarating territory between fact and fiction, progress and destruction, genius and madness.