Pulitzer Prize–winning author Siddhartha Mukherjee, a leading cancer physician and researcher, selects the year’s top science and nature writing from journalists who dive into their fields with curiosity and passion, delivering must-read articles from a wide array of fields.

    The subject was the mystery of prime numbers. At the heart of the presentation was an idea that Riemann had not yet proved but one that baffles mathematicians to this day.Solving the Riemann Hypothesis could change the way we do business, since prime numbers are the lynchpin for security in banking and e-commerce. It would also have a profound impact on the cutting-edge of science, affecting quantum mechanics, chaos theory, and the future of computing. Leaders in math and science are trying to crack the elusive code, and a prize of $1 million has been offered to the winner. In this engaging book, Marcus du Sautoy reveals the extraordinary history behind the holy grail of mathematics and the ongoing quest to capture it.

    This book investigates what cannot be known. Rather than exploring the amazing facts that science, mathematics, and reason have revealed to us, this work studies what science, mathematics, and reason tell us cannot be revealed. In The Outer Limits of Reason, Noson Yanofsky considers what cannot be predicted, described, or known, and what will never be understood. He discusses the limitations of computers, physics, logic, and our own thought processes.Yanofsky describes simple tasks that would take computers trillions of centuries to complete and other problems that computers can never solve; perfectly formed English sentences that make no sense; different levels of infinity; the bizarre world of the quantum; the relevance of relativity theory; the causes of chaos theory; math problems that cannot be solved by normal means; and statements that are true but cannot be proven. He explains the limitations of our intuitions about the world -- our ideas about space, time, and motion, and the complex relationship between the knower and the known.Moving from the concrete to the abstract, from problems of everyday language to straightforward philosophical questions to the formalities of physics and mathematics, Yanofsky demonstrates a myriad of unsolvable problems and paradoxes. Exploring the various limitations of our knowledge, he shows that many of these limitations have a similar pattern and that by investigating these patterns, we can better understand the structure and limitations of reason itself. Yanofsky even attempts to look beyond the borders of reason to see what, if anything, is out there.

    This selection of his writings on religion, ethics, politics, women and many other themes is taken from Schopenhauer's last work, Parerga and Paralipomena, which he published in 1851. He depicts humanity as locked in a struggle beyond good and evil, each individual absolutely free within a Godless world in which art, morality and self-awareness are our only salvation. This innovative and pessimistic view proved powerfully influential upon philosophy and art, affecting the work of Nietzsche and Wittgenstein among others.

    He irreversibly shaped the way we think today about such controversial issues as power, sexuality, madness, and criminality.Johanna Oksala explores the conceptual tools that Foucault gave us for constructing new forms of thinking as well as for smashing old certainties. She offers a lucid account of him as a thinker whose persistent aim was to challenge the self-evidence and necessity of our current experiences, practices, and institutions by showing their historical development and, therefore, contingency.Extracts are taken from the whole range of Foucault’s writings—his books, essays, lectures, and interviews—including the major works History of Madness, The Order of Things, Discipline and Punish, and The History of Sexuality.

    Dennett, whom Chet Raymo of The Boston Globe calls "one of the most provocative thinkers on the planet," focuses his unerringly logical mind on the theory of natural selection, showing how Darwin's great idea transforms and illuminates our traditional view of humanity's place in the universe. Dennett vividly describes the theory itself and then extends Darwin's vision with impeccable arguments to their often surprising conclusions, challenging the views of some of the most famous scientists of our day.

    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.

    In this new edition, John Gray argues that whereas liberalism was the political theory of modernity, it is ill-equipped to cope with the dilemmas of the postmodern condition. The task now, as Gray sees it, is to develop a pluralist theory, in which the liberal problem of finding a modus vivendi among rival communities and worldviews is solved in postliberal terms.Copublished with Open University Press

    An extremely clever account.--The New Yorker.

    Arguing that every scientific concept and theory—including his own—is culturally conditioned, Fleck was appreciably ahead of his time. And as Kuhn observes in his foreword, "Though much has occurred since its publication, it remains a brilliant and largely unexploited resource.""To many scientists just as to many historians and philosophers of science facts are things that simply are the case: they are discovered through properly passive observation of natural reality. To such views Fleck replies that facts are invented, not discovered. Moreover, the appearance of scientific facts as discovered things is itself a social construction, a made thing. A work of transparent brilliance, one of the most significant contributions toward a thoroughly sociological account of scientific knowledge."—Steven Shapin, Science

    This ideal guide shows us how mathematics can illuminate the human condition.

    Here is an altogether new, refreshing, alternative history of math revealing how simple questions anyone might ask about space -- in the living room or in some other galaxy -- have been the hidden engine of the highest achievements in science and technology. Based on Mlodinow's extensive historical research; his studies alongside colleagues such as Richard Feynman and Kip Thorne; and interviews with leading physicists and mathematicians such as Murray Gell-Mann, Edward Witten, and Brian Greene, Euclid's Window is an extraordinary blend of rigorous, authoritative investigation and accessible, good-humored storytelling that makes a stunningly original argument asserting the primacy of geometry. For those who have looked through Euclid's Window, no space, no thing, and no time will ever be quite the same.

    Screech in Penguin Classics.To overcome a crisis of melancholy after the death of his father, Montaigne withdrew to his country estates and began to write, and in the highly original essays that resulted he discussed themes such as fathers and children, conscience and cowardice, coaches and cannibals, and, above all, himself. On Some Lines of Virgil opens out into a frank discussion of sexuality and makes a revolutionary case for the equality of the sexes. In On Experience he superbly propounds his thoughts on the right way to live, while other essays touch on issues of an age struggling with religious and intellectual strife, with France torn apart by civil war. These diverse subjects are united by Montaigne's distinctive voice - that of a tolerant man, sceptical, humane, often humorous and utterly honest in his pursuit of the truth.M.A. Screech's distinguished translation fully retains the light-hearted and inquiring nature of the essays. In his introduction, he examines Montaigne's life and times, and the remarkable self-portrait that emerges from his works.Michel de Montaigne (1533-1586) studied law and spent a number of years working as a counsellor before devoting his life to reading, writing and reflection.If you enjoyed The Essays: A Selection, you might like Francis Bacon's The Essays, also available in Penguin Classics.Alternate cover edition here.