Yet unlike Einstein, with whom he formed a warm and abiding friendship, Gödel has long escaped all but the most casual scrutiny of his life.Stephen Budiansky’s Journey to the Edge of Reason is the first biography to fully draw upon Gödel’s voluminous letters and writings—including a never-before-transcribed shorthand diary of his most intimate thoughts—to explore Gödel’s profound intellectual friendships, his moving relationship with his mother, his troubled yet devoted marriage, and the debilitating bouts of paranoia that ultimately took his life. It also offers an intimate portrait of the scientific and intellectual circles in prewar Vienna, a haunting account of Gödel’s and Jewish intellectuals’ flight from Austria and Germany at the start of the Second World War, and a vivid re-creation of the early days of Princeton’s Institute for Advanced Study, where Gödel and Einstein both worked.Eloquent and insightful, Journey to the Edge of Reason is a fully realized portrait of the odd, brilliant, and tormented man who has been called the greatest logician since Aristotle, and illuminates the far-reaching implications of Gödel’s revolutionary ideas for philosophy, mathematics, artificial intelligence, and man’s place in the cosmos.

    We wouldn’t have unraveled DNA or discovered Neptune or figured out how to put 5,000 songs in your pocket. Though many of us were scared away from this essential, engrossing subject in high school and college, Steven Strogatz’s brilliantly creative, down‑to‑earth history shows that calculus is not about complexity; it’s about simplicity. It harnesses an unreal number—infinity—to tackle real‑world problems, breaking them down into easier ones and then reassembling the answers into solutions that feel miraculous. Infinite Powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves (a phenomenon predicted by calculus). Strogatz reveals how this form of math rose to the challenges of each age: how to determine the area of a circle with only sand and a stick; how to explain why Mars goes “backwards” sometimes; how to make electricity with magnets; how to ensure your rocket doesn’t miss the moon; how to turn the tide in the fight against AIDS. As Strogatz proves, calculus is truly the language of the universe. By unveiling the principles of that language, Infinite Powers makes us marvel at the world anew.

    

    Sometimes our best efforts can result in the opposite of what we want over time. How can we avoid these unwanted results? If we apply conventional thinking to complex issues, we often maintain or increase the very problems we want to fix. There is, however, a solution to get the desired results. Think in Systems is a concise information manual offering high-level problem-solving methods for personal and global issues. The book presents the main features of systems thinking in an understandable and everyday manner, helping you to develop this skill top analysts and world leaders use. If you thought that complex thinking is only for people who deal with complex issues like running a company or country, think again. Every issue is complex. Running out of gas is a simple problem, but I’m sure you’re dealing with much greater headaches on a daily basis. Your life is a system. Everything that is connected to your system (life) is a part of it. However, you are just a subsystem in the larger picture. Your town, country, the world, the solar system are all bigger systems you are a part of. These systems are interconnected. Whatever you do will affect the system and whatever the system does will affect your life. Systems can have positive and negative effect on your life – or on the life of people generally. The greatest problems like hunger, war, and poverty are all failures in the system. Similarly, fights with your loved ones, being stuck in a rut at your job are also system failures. They are not only your fault. Thus they can’t be fixed with a simple cause-effect thinking. Learn to use systems thinking in your business, relationships, friendships, and general political, socio-economic, and environmental issues. Systems thinking boosts your critical thinking skills, makes you more logical, enhances your analytical abilities, and makes you more creative. Systems thinking won’t put extra pressure on your cognition. Quite the contrary, you’ll have fewer headaches knowing that you surely didn’t miss any detail when you tried to solve a problem. "We cannot solve our problems with the same thinking we used when we created them." Albert Einstein • Learn the main aspects, concepts, and models of systems thinking. • Design models and systems maps to solve your problems • Find solutions to your underlying problems, not just the symptoms • Improve your mental health, wealth, and relationships Systems thinking is a relatively new discipline which doesn’t get the exposure it deserves. However, our world grows more connected, interdependent and complex with each passing day. Becoming a systems thinker will help you to overcome your confusion and fear of missing the whole picture, and help you find more effective solutions to your personal (and if you are up to it), global problems. •Widen your understanding of international economic, political, and socio-economic affairs •Manage your business better •The most helpful materials, books, and experts to learn even more about systems thinking Identify your problems more accurately. Find solutions to your problems, don’t just treat the symptoms.

    Tender and joyous, it is a celebration of art's power to transform the darkest of human experience and give voice to the grandest of human hopes.

    When Sigmund Freud awakened modern interest in the dream a century ago, his theory of interpretation undermined the potential insights dreams had to offer. For Freud, dreams were little more than fragmented puzzle parts made up of events from our waking lives. Most of us today still live under Freud's far-reaching influence. When we wake up after experiencing a powerful series of images, we too readily explain them away or simply ignore them all together. Whatever emotion or insight the dream evokes slowly fades. But what if Freud was wrong? Unless we challenge his deeply-ingrained assumptions, we will forever lose the gift of our dreams.International bestselling author Rodger Kamenetz believes it is not too late to reclaim the lost power of our nightly visions. Kamenetz's exploration of the world of dreams reopens all the questions scientists and psychologists claimed to have settled long ago. The culmination of decades of research, The History of Last Night's Dream is a riveting intellectual and cultural investigation of dreams and what they have to teach us. We discover how the age-old struggle between what we dream and how we interpret our dreams has shaped Western culture from biblical times to today. Kamenetz introduces us to an eighty-seven-year-old female kabbalist in Jerusalem, a suave Tibetan Buddhist dream teacher in Copenhagen, and a crusty intuitive postman-turned-dream master in northern Vermont. He fearlessly delves into this mysterious inner realm and shows us that dreams are not only intensely meaningful but that they hold essential truths about who we are. In the end, each of us has the choice to embark on this illuminating path to the soul. But one thing is certain: our dreams will never be the same again.

    GRAPH THEORY WITH APPLICATIONS TO ENGINEERING AND COMPUTER SCIENCE-PHI-DEO, NARSINGH-1979-EDN-1

    Here, Robert Solomon and Kathleen Higgins tell the story of philosophy's development with great clarity and refreshing wit. The authors begin with the most ancient religious beliefs of the east and west and bring us right up to the feminist and multicultural philosophies of the present. Along the way, they highlight major philosophers, from Plato and the Buddha to William James and Simone de Beauvoir, and explore major categories, from metaphysics and ethics to politics and logic. The book is enlivened as well by telling anecdotes and sparkling quotations. Among many memorable observations, we're treated to Thomas Hobbes' assessment that life is nasty, brutish, and short and Hegel's description of Napoleon as world history on horseback. Engaging, comprehensive, and delightfully written, A Passion for Wisdom is a splendid introduction to an intellectual tradition that reaches back over three thousand years.

    Preserving the general structure of the author's important study Language, Meaning and Context (1981), this text has been expanded in scope to introduce several topics that were not previously discussed, and to take account of new developments in linguistic semantics over the past decade.

    The clarity and eloquence of the presentation make it popular with teachers and students alike. The text aims to expand the reader's view of the field and to present standard material in a novel way. All of the most important topics in the field are covered with a fresh perspective, including iterative methods for systems of equations and eigenvalue problems and the underlying principles of conditioning and stability. Presentation is in the form of 40 lectures, which each focus on one or two central ideas. The unity between topics is emphasized throughout, with no risk of getting lost in details and technicalities. The book breaks with tradition by beginning with the QR factorization - an important and fresh idea for students, and the thread that connects most of the algorithms of numerical linear algebra.

    In this treatise, he argues that the core intellectual errors of statism, socialism, protectionism, racism, irrationalism can be found in a revolt against economic logic and its special character. Epistemological Problems of Economics was original published in 1933, a period when the social sciences and economic policy were undergoing upheaval. The classical view of economics as a deductive science, along with the laissez-faire policies implied by that view, were being displaced by positivism and economic planning. Mises set out to put the classical view on a firmer foundation. In so doing, he examines a range of philosophical problems associated with economics. He goes further to delineate the scope of the general science of human action. This treatise, out of print for many years, is now brought back by the Mises Institute in a 3rd edition, with a comprehensive introduction by Jörg Guido Hülsmann, senior fellow of the Mises Institute. He observes that "the great majority of contemporary economists, sociologists, political scientists, and philosophers are either completely unaware of Mises's contributions to the epistemology of the social sciences or think they can safely neglect dealing with them. They are in error. One can ignore a thinker, but the fundamental problems of social analysis remain. There will be no progress in these disciplines before the mainstream has fully absorbed and digested Mises's ideas."

    It relates to the truth of numbers and magnitudes equally to all sciences and arts. The book brings to light how great and true knowledge is born of intuition, quite different from modern Western method. The ancient Indian method and its secret techniques are examined and shown to be capable of solving various problems of mathematics.

    Covering Sid's early years in South Africa and life as a ladies' hairdresser, his obsession with gambling and women, his questioning by Scotland Yard in a murder case, Hancock's Half Hour and the Carry On films, and Sid's death on stage at the age of 63, Cliff Goodwin reveals the amazing truth behing the legend.

    This edition retains the scope and emphasis that have made the book very successful while adding over twenty new numerical examples and over 550 new end-of-chapter problems.

    Yet in the late twentieth century truth became suddenly rather unfashionable. The precedence given to assorted political and ideological agendas, along with the rise of relativism, postmodernism and pseudoscience in academia, led to a decline both of truth as a serious subject, and an intellectual tradition that began with the Enlightenment.Why Truth Matters is a timely, incisive and entertaining look at how and why modern thought and culture lost sight of the importance of truth. It is also an eloquent and inspiring argument for restoring truth to its rightful place. Jeremy Stangroom and Ophelia Benson, editors of the successful butterfliesandwheels website—itself established to "fight fashionable nonsense"—identify and debunk such senselessness, and the spurious claims made for it, in all its forms. Their account ranges over religious fundamentalism, Holocaust denial, the challenges of postmodernism and deconstruction, the wilful misinterpretation of evolutionary biology, identity politics and wishful thinking.Why Truth Matters is both a rallying cry for the Enlightenment vision and an essential read for anyone who's ever been bored, frustrated, bewildered or plain enraged by the worst excesses of the fashionable intelligentsia.