A lecture class taught by Wittgenstein, however, hardly resembled a lecture. He sat on a chair in the middle of the room, with some of the class sitting in chairs, some on the floor. He never used notes. He paused frequently, sometimes for several minutes, while he puzzled out a problem. He often asked his listeners questions and reacted to their replies. Many meetings were largely conversation. These lectures were attended by, among others, D. A. T. Gasking, J. N. Findlay, Stephen Toulmin, Alan Turing, G. H. von Wright, R. G. Bosanquet, Norman Malcolm, Rush Rhees, and Yorick Smythies. Notes taken by these last four are the basis for the thirty-one lectures in this book. The lectures covered such topics as the nature of mathematics, the distinctions between mathematical and everyday languages, the truth of mathematical propositions, consistency and contradiction in formal systems, the logicism of Frege and Russell, Platonism, identity, negation, and necessary truth. The mathematical examples used are nearly always elementary.

    Using a "physics first" approach to the subject, renowned relativist James B. Hartle provides a fluent and accessible introduction that uses a minimum of new mathematics and is illustrated with a wealth of exciting applications. KEY TOPICS: The emphasis is on the exciting phenomena of gravitational physics and the growing connection between theory and observation. The Global Positioning System, black holes, X-ray sources, pulsars, quasars, gravitational waves, the Big Bang, and the large scale structure of the universe are used to illustrate the widespread role of how general relativity describes a wealth of everyday and exotic phenomena. MARKET: For anyone interested in physics or general relativity.

    Because it takes time for light to travel, we see more and more distant regions of the universe as they were in the successively greater past. Impey uses this concept—"look-back time"—to take us on an intergalactic tour that is simultaneously out in space and back in time. Performing a type of cosmic archaeology, Impey brilliantly describes the astronomical clues that scientists have used to solve fascinating mysteries about the origins and development of our universe.The milestones on this journey range from the nearby to the remote: we travel from the Moon, Jupiter, and the black hole at the heart of our galaxy all the way to the first star, the first ray of light, and even the strange, roiling conditions of the infant universe, an intense and volatile environment in which matter was created from pure energy. Impey gives us breathtaking visual descriptions and also explains what each landmark can reveal about the universe and its history. His lucid, wonderfully engaging scientific discussions bring us to the brink of modern cosmology and physics, illuminating such mind-bending concepts as invisible dimensions, timelessness, and multiple universes.A dynamic and unforgettable portrait of the cosmos, How It Began will reward its readers with a deeper understanding of the universe we inhabit as well as a renewed sense of wonder at its beauty and mystery.

    A concise look at the impact of the advent of the telescope on the way humans view the universe and their place in it focuses on the visionaries, beginning with Galileo, who created and perfected it.

    This work has played a major role in the development of our current understanding of the profound nature of quantum concepts and of the fundamental limitations they impose on the applicability of the classical ideas of space, time and locality. This book contains all of John Bell's published and unpublished papers on the conceptual and philosophical problems of quantum mechanics.

    But, twenty years later, he fell in love and he now presents one of the world's most popular science podcasts. Every year he meets hundreds of the world's greatest thinkers.In this erudite and witty book, Robin reveals why scientific wonder isn't just for the professionals. Filled with interviews featuring astronauts, comedians, teachers, quantum physicists, neuroscientists and more - as well as charting Robin's own journey with science - The Importance of Being Interested explores why many wrongly think of the discipline as distant and difficult. From the glorious appeal of the stars above to why scientific curiosity can encourage much needed intellectual humility, this optimistic and profound book will leave you filled with a thirst for intellectual adventure.

    An acclaimed author and public speaker, Black shows how this body of knowledge has been declared ‘heretical’ both by the established church and by today’s atheistic intellectual elite.Finally, he outlines in the clearest terms possible the supernatural laws that govern our universe, and describes rules for living that take us beyond consensual thought, rules that may at first seem crazy, even dangerous, but which contain the secrets for achieving success, happiness and a higher state of being.

    She explains how kundalini energy--the “liquid light of sex” that lies at the base of the spine--is activated during these planetary transits, rising through the chakras and triggering the process of spiritual emergency, and in many cases, a cascade of health, emotional, and relationship problems as well as extreme anxiety. She shows that by understanding these astrological transits, you can be prepared for turbulent periods and successfully navigate them by creatively channeling the spiritual fire of kundalini. Clow provides astrological charts--now updated through 2050 for those born between 1930 and 2000--detailing the cycles of Saturn, Uranus, and Chiron, so you do not need your birth chart to use this book. She explains how to use the charts to predict the onset and completion of each kundalini activation and corresponding crisis. She shares tools for individuals and therapists to cope with the intensity of spiritual emergency and too much fire energy, unblock the chakras, and integrate the power of kundalini for physical, emotional, and spiritual growth. Reflecting on 20 years of success stories since the book’s initial publication, Clow presents a road map for using celestial cycles to navigate positively and productively in times of great life change.

    Traces the history of time from Augustine's suggestion that there is no time, to the flowing time of Newton, the static time of Einstein, and then back, to the idea that there is no time in quantum gravity.

    Those that have liquid water. And maybe even life.She wonders how we might be able to take the our first ever high resolution picture of an exoplanet using the microchips found in mobile phones. And she meets world-leading astrophysicists to ask if within our lifetimes humans might step foot on an earth-like planet.An ITN production for Audible Originals.

    But what if we could escape these trappings? With The Possibility Principle, Mel Schwartz emerges as one of the first psychotherapists to distill the basic premises of quantum theory into an empowering and practical system for transcending limitations and opening to infinite possibility. New discoveries in quantum physics are revolutionizing the way we understand our world, but we're often unclear about how this applies to our own experience. Using three core tenets of quantum physics--inseparability, potentiality, and uncertainty--Schwartz demonstrates how each of us can overcome difficulties and live our fullest potential, so long as we are willing to challenge our operating beliefs. Drawing from his vast body of research and dozens of client success stories, Schwartz shows us how to break through communication impasses, create resilient relationships, build authentic self-esteem, overcome anxiety and depression, and catalyze our defining moments so we can live more fearless and expansive lives.

    The eponymous riddle, according to legend, was devised by Albert Einstein as a child. He claimed that only about 2% of the population would be able to work out the correct answer. There are no tricks and there is only one answer. It requires the cool application of logic to solve. And a lot of patience.Einstein's Riddle features fifty of the toughest logic problems, lateral thinking puzzles, and tests of mental agility. By turns entertaining and infuriating, the puzzles challenge our preconceptions, tell us about how we reason, and provide a rigorous intellectual workout.

    New Proofs for the Existence of God responds to these glaring omissions. From universal space-time asymmetry to cosmic coincidences to the intelligibility of reality, Robert Spitzer tackles a wealth of evidence. He considers string theory, quantum cosmology, mathematical thoughts on infinity, and much more. This fascinating and stunning collection of evidence provides solid grounding for reasonable and responsible belief in a super-intelligent, transcendent, creative power standing at the origins of our universe.

    Reveals mathematics' great power as an alternative language for understanding things and explores such concepts as logic as a computing tool, digital versus analog processes and communication as information transmission.

    Numerous examples throughout provide readers with real-life applications of the concepts of analog and digital communications systems, while chapter-end questions and problems give them a chance to test and review their understanding of fundamental and key topics. Modern digital and data communications systems, microwave radio communications systems, satellite communications systems, and optical fiber communications systems. Cellular and PCS telephone systems coverage presents the latest and most innovative technological advancements being made in cellular communication systems. Optical fiber communications chapter includes new sections on light sources, optical power, optical sources and link budget. Current topics include trellis encoding, CCITT modem recommendations, PCM line speed, extended superframe format, wavelength division multiplexing, Kepler's laws, Clark orbits, limits of visibility, Satellite Radio Navigation and Navstar GPS. For the study of electronic communications systems.