Gödel received public recognition of his work in 1951 when he was awarded the first Albert Einstein Award for achievement in the natural sciences--perhaps the highest award of its kind in the United States. The award committee described his work in mathematical logic as "one of the greatest contributions to the sciences in recent times."However, few mathematicians of the time were equipped to understand the young scholar's complex proof. Ernest Nagel and James Newman provide a readable and accessible explanation to both scholars and non-specialists of the main ideas and broad implications of Gödel's discovery. It offers every educated person with a taste for logic and philosophy the chance to understand a previously difficult and inaccessible subject.New York University Press is proud to publish this special edition of one of its bestselling books. With a new introduction by Douglas R. Hofstadter, this book will appeal students, scholars, and professionals in the fields of mathematics, computer science, logic and philosophy, and science.

    Far from the thankless, pointless exercises they are often thought to be, mathematics and logic are indispensable guides to ridding ourselves of dominant opinions and making possible an access to truths, or to a human experience of the utmost value. That is why mathematics may well be the shortest path to the true life, which, when it exists, is characterized by an incomparable happiness.

    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.

    A homage to beer by Cheers actor and beer connoisseur George Wendt, better known as Norm Peterson.

    Visit Copenhagen's Tivoli Gardens or appreciate the historical, classical architecture of the Cathedral of Our Lady and Copenhagen University. You'll get Rick's firsthand advice on the best sights, eating, sleeping, and nightlife, and the maps and self-guided tours will ensure you make the most of your experience. More than just reviews and directions, a Rick Steves Snapshot guide is a tour guide in your pocket.Rick Steves' Snapshot guides consist of excerpted chapters from Rick Steves' European country guidebooks. Snapshot guides are a great choice for travelers visiting a specific city or region, rather than multiple European destinations. These slim guides offer all of Rick's up-to-date advice on what sights are worth your time and money. They include good-value hotel and restaurant recommendations, with no introductory information (such as overall trip planning, when to go, and travel practicalities).

    Having run out of options, former YouTube star Dax Flame must get a job at an ice cream shop in order to make ends meet.

    

    This new book takes place in Lockdown Three. This time Key can make Government-sanctioned expeditions out onto the streets of London (remember?). And it is there that the inaction takes place. Phone calls to his mother, promenades with his loyal friend, bubble-negotiations, sitting his fat arse down on benches, drinking mocha. Another three months of mind-freezing inertia. This time on the move. Conversations interspersed with poetry.

    In this newest translation of The Art of War readers will benefit from the interpretations from other translators and strategist, as well as the 50 strategic rules, including: -- How to look for strategic turns to meet the competition-- How to attain strategic superiority and crush the competition-- How to plan surprise and stay ahead of the game-- And more timeless wisdom that will allow you to compete and win in the dynamic business environment!Business managers around the world have tapped into this ancient wisdom; it is time to master The Art of War for Manager for the existence and growth of your business!

    In telling the story of one master’s training and evolution in the Himalayas and his subsequent mission to his countrymen, the author enlightens you on the essence of India’s culture, philosophy and religion. His story will surely educate you, inspire you, and broaden your horizons of the meaning of life.The Swami spent five years in the Himalayas under the tutelage of two incredible Masters of live, as different as day and night. Although both were scholars of the scriptures, their manifestation was unique. One was an incredible streak of light and energy who traveled India teaching, then created a huge ashram center to serve all of humanity. The other was a quiet contemplative recluse who sang inspirational songs and taught only a few students.Swami Chinmayananda appeared on the scene at an appropriate time in Indian history. The British had just left the country with no one trained to take the helm of State. The British had taken all the top government positions. In addition, they had curtailed any industrial development; the Empire was about having consumers for British products. The Indians had lost their moorings: economically, spiritually and personally. To these countrymen, beaten down by 150 years of British rule, repression and slavery, the Swami gave a message of hope. He worked relentlessly for about 40 years to bring about a spiritual revival in India and abroad. His unique style and logical approach was appreciated by everyone from college students to bankers to priests—both Hindu and Christian.By teaching directly the wisdom of their ancient scriptures, he gave the listeners confidence and inspiration to move forward in business and in creating charitable endeavors for the uplifting of the downtrodden of the country. Through 200 centers in India, his devotees have built and operate schools, hospitals and clinics, nursing homes, retirement homes and training centers for nurses and teachers, as well as spiritual training centers.This story of the legacy of one of the most influential persons in the modern history of Hinduism is sure to surprise you, amaze you—and inspire you.

    Author Manuel Velasquez combines clear prose and primary source readings to take you on a meaningful exploration of a range of philosophical topics, such as human nature, feminist theory, diversity, and aesthetics. Plus, the text's carefully crafted built-in learning aids will help you succeed in your course.

    Much of the book takes the form of a discussion between a teacher and his students. They propose various solutions to some mathematical problems and investigate the strengths and weaknesses of these solutions. Their discussion (which mirrors certain real developments in the history of mathematics) raises some philosophical problems and some problems about the nature of mathematical discovery or creativity. Imre Lakatos is concerned throughout to combat the classical picture of mathematical development as a steady accumulation of established truths. He shows that mathematics grows instead through a richer, more dramatic process of the successive improvement of creative hypotheses by attempts to 'prove' them and by criticism of these attempts: the logic of proofs and refutations.

    Osho speaks on the relationship between freedom and consciousness, defines his neo-sannyas, and elaborates on the mysteries of initiation and disciplehood.

    From verbalizing chimpanzees to scientific speculations involving machines with souls, from the mesmerizing, maze-like fiction of Borges to the tantalizing, dreamlike fiction of Lem and Princess Ineffable, her circuits glowing read and gold, The Mind's I opens the mind to the Black Box of fantasy, to the windfalls of reflection, to new dimensions of exciting possibilities."Ever since David Hume declared in the 18th century that the Self is only a heap of perceptions, the poor Ego has been in a shaky conditions indeed...Mind and consciousness becomes dispensable items in our accounts of reality, ghosts in the bodily machine...Yet there are indications here and there that the tide may be tuming...and the appearance of The Mind's I, edited by Douglas R. Hofstadter and Daniel C. Dennett, seems a welcome sign of change." William Barrett, The New York Times Book Review

    Book by Roberts, Jane