In Are Numbers Real?, Brian Clegg explores the way that math has become more and more detached from reality, and yet despite this is driving the development of modern physics. From devising a new counting system based on goats, through the weird and wonderful mathematics of imaginary numbers and infinity, to the debate over whether mathematics has too much influence on the direction of science, this fascinating and accessible book opens the reader’s eyes to the hidden reality of the strange yet familiar entities that are numbers.

    Essentially, you make an initial guess, and then get more data to improve it. Bayes Theorem, or Bayes Rule, has a ton of real world applications, from estimating your risk of a heart attack to making recommendations on Netflix But It Isn't That Complicated This book is a short introduction to Bayes Theorem. It is only 15 pages long, and is intended to show you how Bayes Theorem works as quickly as possible. The examples are intentionally kept simple to focus solely on Bayes Theorem without requiring that the reader know complicated probability distributions. If you want to learn the basics of Bayes Theorem as quickly as possible, with some easy to duplicate examples, this is a good book for you.

    It is derived from Alfred North Whitehead's philosophy, known as process theology, which lays a groundwork for integrating evolutionary biology, physics, philosophy of mind, theology, environmental ethics, religious pluralism, education, economics, and more.In Process-Relational Philosophy, C. Robert Mesle breaks down Whitehead's complex writings, providing a simple but accurate introduction to the vision that underlies much of contemporary process philosophy and theology. In doing so, he points to a "way beyond both reductive materialism and the traps of Cartesian dualism by showing reality as a relational process in which minds arise from bodies, in which freedom and creativity are foundational to process, in which the relational power of persuasion is more basic than the unilateral power of coercion."Because process-relational philosophy addresses the deep intuitions of a relational world basic to environmental and global thinking, it is being incorporated into undergraduate and graduate courses in philosophy, educational theory and practice, environmental ethics, and science and values, among others. Process-Relational Philosophy: A Basic Introduction makes Whitehead's creative vision accessible to all students and general readers.

    The book introduces and assesses:* Kant's life and background of the Critique of Pure Reason* the ideas and text of the Critique of Pure Reason* the continuing relevance of Kant's work to contemporary philosophy.Ideal for anyone coming to Kant's thought for the first time. This guide will be vital reading for all students of Kant in philosophy.

    During periods of so-called "sleep," he was able to diagnose illness, often in people he had never met, and then to prescribe medical treatment. With no formal medical training, Cayce healed thousands of people who had previously tried conventional medicine without success.This omnibus volume contains four separate books about Edgar Cayce's extraordinary abilities and their far-reaching implications for the psychic world and the millennium.Edgar Cayce on Prophecy explores the major prophecies and predictions of the great clairvoyant. This volume covers Cayce's feelings about his gift and how he used it in his own life; his predictions of individuals regarding both physical and spiritual events; his theories on evolution; his reliance on dreams; his prophecies regarding the New Age; and unusual facts about the rising of Atlantis.Edgar Cayce on Religion and Psychic Experience shows how religious faith can develop psychic powers. The psychic information Cayce received in trances appeared to supplement the teachings of the Bible without contradiction.Edgar Cayce on Mysteries of the Mind examines Cayce's revelations about human consciousness and the enormous role his insights can play in everyday life.Edgar Cayce on Reincarnation uses as primary source material 2,500 of Cayce's own readings. This work unveils the hidden reality we all live with--reincarnation.The four volumes selected for Edgar Cayce: Modern Prophet constitute a fascinating and comprehensive sourcebook on one of the greatest psychics of all time.

    Today, these paradoxes remain on the cutting edge of our investigations into the fabric of space and time. Zeno's Paradox uses the motion paradox as a jumping-off point for an exploration of the twenty-five-hundred-year quest to uncover the true nature of the universe. From Galileo to Einstein to Stephen Hawking, some of the greatest minds in history have tackled the problem and made spectacular breakthroughs, but through it all, the paradox of motion remains.

    Reprinted here for the first time is Franzen's controversial l996 investigation of the fate of the American novel in what became known as "the Harper's essay," as well as his award-winning narrative of his father's struggle with Alzheimer's disease, and a rueful account of his brief tenure as an Oprah Winfrey author.

    His work traverses the fields of philosophy, psychoanalysis, theology, history and political theory, taking in film, popular culture, literature and jokes -- all to provide acute analyses of the complexities of contemporary ideology as well as a serious and sophisticated philosophy. His recent films The Pervert's Guide to the Cinema and Zizek reveal a theorist at the peak of his powers and a skilled communicator. Now Verso are making these four classic titles, that stand as the core of his ever-expanding life's work, available as new editions. Each is beautifully repackaged, including new introductions from Zizek himself. Simply put, they are the essential texts for understanding Zizek's thought and thus cornerstones of contemporary philosophy.

    Sousa discusses the cognitive mechanisms for learning mathematics and the environmental and developmental factors that contribute to mathematics difficulties. This award-winning text examines:Children's innate number sense and how the brain develops an understanding of number relationships Rationales for modifying lessons to meet the developmental learning stages of young children, preadolescents, and adolescents How to plan lessons in PreK-12 mathematics Implications of current research for planning mathematics lessons, including discoveries about memory systems and lesson timing Methods to help elementary and secondary school teachers detect mathematics difficulties Clear connections to the NCTM standards and curriculum focal points

    This is the initial volume of a four-book set in which Kenny will unfold a magisterial new history of Western philosophy, the first major single-author history of philosophy to appear in decades.Ancient Philosophy spans over a thousand years and brings to life the great minds of the past, from Thales, Pythagoras, and Parmenides, to Socrates, Epictetus, Marcus Aurelius, and Augustine. The book's great virtue is that it is written by one of the world's leading authorities on the subject. Instead of an uncritical, straightforward recitation of known facts—Plato and his cave of shadows, Aristotle's ethics, Augustine's City of God—we see the major philosophers through the eyes of a man who has spent a lifetime contemplating their work. Thus we do not simply get an overview of Aristotle, for example, but a penetrating and insightful critique of his thought. Kenny offers an illuminating account of the various schools of thought, from the Pre-Socratics to the Epicureans. He examines the development of logic and reason, ancient ideas about physics ("how things happen"), metaphysics and ethics, and the earliest thinking about the soul and god.Vividly written, but serious and deep enough to offer a genuine understanding of the great philosophers, Kenny's lucid and stimulating history will become the definitive work for anyone interested in the people and ideas that shaped the course of Western thought.Sir Anthony Kenny is one of Britain's most distinguished academic figures. He has been Pro-Vice-Chancellor of the University of Oxford, Master of Balliol College, Chairman of the Board of the British Library, and President of the British Academy. He has published more than forty books on philosophy and history.

    Notions like denumerability, modal scope distinction, Bayesian conditionalization, and logical completeness are usually only elucidated deep within difficultspecialist texts. By offering simple explanations that by-pass much irrelevant and boring detail, Philosophical Devices is able to cover a wealth of material that is normally only available to specialists.The book contains four sections, each of three chapters. The first section is about sets and numbers, starting with the membership relation and ending with the generalized continuum hypothesis. The second is about analyticity, a prioricity, and necessity. The third is about probability, outliningthe difference between objective and subjective probability and exploring aspects of conditionalization and correlation. The fourth deals with metalogic, focusing on the contrast between syntax and semantics, and finishing with a sketch of Godel's theorem.Philosophical Devices will be useful for university students who have got past the foothills of philosophy and are starting to read more widely, but it does not assume any prior expertise. All the issues discussed are intrinsically interesting, and often downright fascinating. It can be read withpleasure and profit by anybody who is curious about the technical infrastructure of contemporary philosophy.

    Whether with friends, family, or on social media, we expend lots of energy, lots of sharp words, and lots of strong feelings. But very few know how to have a good religious argument a rational, respectful, and productive exchange of differing views.Bishop Robert Barron, one of the leading Catholic figures in the world and among the most active on social media, has enjoyed thousands of fruitful religious arguments. In this book based on talks delivered at Facebook and Google, he explains why religion at its best opens up the searching mind, and how we all believer and unbeliever alike can share better discussions about God.

    Engaging with a phenomenally wide range of ideas, issues, and thinkers from the Enlightenment to today, Eagleton discusses the state of religion before and after 9/11, the ironies surrounding Western capitalism’s part in spawning not only secularism but also fundamentalism, and the unsatisfactory surrogates for the Almighty invented in the post-Enlightenment era.   The author reflects on the unique capacities of religion, the possibilities of culture and art as modern paths to salvation, the so-called war on terror’s impact on atheism, and a host of other topics of concern to those who envision a future in which just and compassionate communities thrive. Lucid, stylish, and entertaining in his usual manner, Eagleton presents a brilliant survey of modern thought that also serves as a timely, urgently needed intervention into our perilous political present.

    Lewis argues that the philosophical utility of modal realism is a good reason for believing that it is true.

    The sense in which the natural sciences are exemplary for inquiry is explicated in terms of the moral virtues of scientific communities rather than in terms of a special scientific method. The volume concludes with reflections on the relation of social democratic politics to philosophy.