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.

    In this Very Short Introduction, one of the world's leading authorities on the philosophy of information and on information ethics, Luciano Floridi, offers an illuminating exploration of information as it relates to both philosophy and science. He discusses the roots of the concept of information in mathematics and science, and considers the role of information in several fields, including biology. Floridi also discusses concepts such as "Infoglut" (too much information to process) and the emergence of an information society, and he addresses the nature of information as a communication process and its place as a physical phenomenon. Perhaps more important, he explores information's meaning and value, and ends by considering the broader social and ethical issues relating to information, including problems surrounding accessibility, privacy, ownership, copyright, and open source. This book helps us understand the true meaning of the concept and how it can be used to understand our world.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 hundreds of key topics, from philosophy to Freud, quantum theory to Islam.

    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 This book contains all of John Bell's published and unpublished papers on the conceptual and philosophical problems of quantum mechanics.

    Drawing from Scientific American's "Fact or Fiction" and "Strange But True" columns, we've selected fifty-eight of the most surprising, fascinating, useful, and just plain wacky topics confronted by our writers over the years.

    

    Maudlin explains special relativity using a geometrical approach, emphasizing intrinsic space-time structure rather than coordinate systems or reference frames. He gives readers enough detail about special relativity to solve concrete physical problems while presenting general relativity in a more qualitative way, with an informative discussion of the geometrization of gravity, the bending of light, and black holes. Additional topics include the Twins Paradox, the physical aspects of the Lorentz-FitzGerald contraction, the constancy of the speed of light, time travel, the direction of time, and more.Introduces nonphysicists to the philosophical foundations of space-time theoryProvides a broad historical overview, from Aristotle to EinsteinExplains special relativity geometrically, emphasizing the intrinsic structure of space-timeCovers the Twins Paradox, Galilean relativity, time travel, and moreRequires only basic algebra and no formal knowledge of physicsTim Maudlin is professor of philosophy at New York University. His books include The Metaphysics within Physics and Quantum Non-Locality and Relativity.

    In this cogently and elegantly argued analysis of why human beings persist in engaging in behavior that defies time-honored economic theory, Ormerod also explains why governments and industries throughout the world must completely reconfigure their traditional methods of economic forecasting if they are to succeed and prosper in an increasingly complicated global marketplace.

    In Evolution Impossible, Dr. John Ashton uses discoveries in genetics, biochemistry, geology, radiometric dating, and other scientific disciplines to explain why the theory of evolution is a myth. Regardless of your level of scientific education, you will finish this book able to cite 12 reasons why evolution cannot explain the origin of life.

    Runaway climate change, the sixth great extinction of planetary life, the acidification of the oceans—all point toward an era of unprecedented turbulence in humanity’s relationship within the web of life. But just what is that relationship, and how do we make sense of this extraordinary transition? Anthropocene or Capitalocene? offers answers to these questions from a dynamic group of leading critical scholars who challenge the conventional practice of dividing historical change and contemporary reality into “Nature” and “Society,” demonstrating the possibilities offered by a more nuanced and connective view of human environment-making, joined at every step with and within the biosphere. In distinct registers, the authors frame their discussions within a politics of hope that signal the possibilities for transcending capitalism, broadly understood as a “world-ecology” that joins nature, capital, and power as a historically evolving whole.

    Polanyi aims to show that science must be understood as a community of inquirers held together by a common faith; science, he argues, is not the use of 'scientific methods' but rather consists in a discipline imposed by scientists on themselves in the interest of discovering an objective, impersonal truth.

    Now renewables are overtaking fossil fuels, with wind and solar energy becoming cheaper and more competitive every year. Growth in renewable energy will further accelerate as electric vehicles become less expensive than traditional automobiles. Understanding the implications of the energy transition will prepare us for the many changes ahead.This book is a primer for readers of all levels on the coming energy transition and its global consequences. Bruce Usher provides a concise yet comprehensive explanation for the extraordinary growth in wind and solar energy; the trajectory of the transition from fossil fuels to renewables; and the implications for industries, countries, and the climate. Written in a straightforward style with easy-to-understand visual aids, the book illuminates the strengths and weaknesses of renewable energy based on business fundamentals and analysis of the economic forces that have given renewables a tailwind. Usher dissects the winners and losers, illustrating how governments and businesses with a far-sighted approach will reap long-term benefits while others will trail behind. Alongside the business and finance case for renewable energy, he provides a timely illustration of the threat of catastrophic climate change and the perils of delay. A short and powerful guide to our energy present and future, this book makes it clear that, from both economic and environmental perspectives, there is no time to lose.

    But philosopher and cognitive scientist Andy Clark sees it differently. Cyborgs, he writes, are not something to be feared--we already are cyborgs. In Natural-Born Cyborgs, Clark argues that what makes humans so different from other species is our capacity to fully incorporate tools and supporting cultural practices into our existence. Technology as simple as writing on a sketchpad, as familiar as Google or a cellular phone, and as potentially revolutionary as mind-extending neural implants--all exploit our brains' astonishingly plastic nature. Our minds are primed to seek out and incorporate non-biological resources, so that we actually think and feel through our best technologies. Drawing on his expertise in cognitive science, Clark demonstrates that our sense of self and of physical presence can be expanded to a remarkable extent, placing the long-existing telephone and the emerging technology of telepresence on the same continuum. He explores ways in which we have adapted our lives to make use of technology (the measurement of time, for example, has wrought enormous changes in human existence), as well as ways in which increasingly fluid technologies can adapt to individual users during normal use. Bio-technological unions, Clark argues, are evolving with a speed never seen before in history. As we enter an age of wearable computers, sensory augmentation, wireless devices, intelligent environments, thought-controlled prosthetics, and rapid-fire information search and retrieval, the line between the user and her tools grows thinner day by day. This double whammy of plastic brains and increasingly responsive and well-fitted tools creates an unprecedented opportunity for ever-closer kinds of human-machine merger, he writes, arguing that such a merger is entirely natural. A stunning new look at the human brain and the human self, Natural Born Cyborgs reveals how our technology is indeed inseparable from who we are and how we think.

    This time physicist Robert Gilmore takes us on a journey with Dorothy, following the yellow building block road through the land of the Wizard of Quarks. Using characters and situations based on the Wizard of Oz story, we learn along the way about the fascinating world of particle physics. Classes of particles, from quarks to leptons are shown in an atomic garden, where atoms and molecules are produced. See how Dorothy, The Tin Geek, and the Cowardly Lion experience the bizarre world of subatomic particles.

    The material of this book is indispensable for anyone who wishes to understand the real spiritual roots of Western civilization.

    Contemplation of time and the discoveries of modern science lead to the assertion that the mind is paramount and limitless.