With the stroke of a pen the Jesuit fathers banned the doctrine of infinitesimals, announcing that it could never be taught or even mentioned. The concept was deemed dangerous and subversive, a threat to the belief that the world was an orderly place, governed by a strict and unchanging set of rules. If infinitesimals were ever accepted, the Jesuits feared, the entire world would be plunged into chaos.In Infinitesimal, the award-winning historian Amir Alexander exposes the deep-seated reasons behind the rulings of the Jesuits and shows how the doctrine persisted, becoming the foundation of calculus and much of modern mathematics and technology. Indeed, not everyone agreed with the Jesuits. Philosophers, scientists, and mathematicians across Europe embraced infinitesimals as the key to scientific progress, freedom of thought, and a more tolerant society. As Alexander reveals, it wasn't long before the two camps set off on a war that pitted Europe's forces of hierarchy and order against those of pluralism and change.The story takes us from the bloody battlefields of Europe's religious wars and the English Civil War and into the lives of the greatest mathematicians and philosophers of the day, including Galileo and Isaac Newton, Cardinal Bellarmine and Thomas Hobbes, and Christopher Clavius and John Wallis. In Italy, the defeat of the infinitely small signaled an end to that land's reign as the cultural heart of Europe, and in England, the triumph of infinitesimals helped launch the island nation on a course that would make it the world's first modern state.From the imperial cities of Germany to the green hills of Surrey, from the papal palace in Rome to the halls of the Royal Society of London, Alexander demonstrates how a disagreement over a mathematical concept became a contest over the heavens and the earth. The legitimacy of popes and kings, as well as our beliefs in human liberty and progressive science, were at stake-the soul of the modern world hinged on the infinitesimal.

    Her scenic descriptions and political comments about Norway and her encounters with an impoverished peasantry and Danish townsfolk greedily obsessed by commerce are no less vivid than the outbursts of melancholy in these letters written to Gilbert Imlay, her unfaithful lover and father of her baby. This book attracted William Godwin to its author, who was soon to become his wife and the mother of Mary Shelley, creator of Frankenstein, making this a key work for the understanding of the Godwin-Shelley circle. This new edition is enriched by a new introduction by Sylva Norman, which puts Wollstonecraft's letters into their political and social context and provides enlightening information about Mary's life, loves, and deeply held convictions.

    Kurt Giidel maintained, and offered detailed proof, that in any arithmetic system, even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. It is thus uncertain that the basic axioms of arithmetic will not give rise to contradictions. The repercussions of this discovery are still being felt and debated in 20th-century mathematics.The present volume reprints the first English translation of Giidel's far-reaching work. Not only does it make the argument more intelligible, but the introduction contributed by Professor R. B. Braithwaite (Cambridge University}, an excellent work of scholarship in its own right, illuminates it by paraphrasing the major part of the argument.This Dover edition thus makes widely available a superb edition of a classic work of original thought, one that will be of profound interest to mathematicians, logicians and anyone interested in the history of attempts to establish axioms that would provide a rigorous basis for all mathematics. Translated by B. Meltzer, University of Edinburgh. Preface. Introduction by R. B. Braithwaite.

    Sparked by her unexpected encounter with the surviving roses he planted in 1936, Solnit’s account of this understudied aspect of Orwell’s life explores his writing and his actions—from going deep into the coal mines of England, fighting in the Spanish Civil War, critiquing Stalin when much of the international left still supported him (and then critiquing that left), to his analysis of the relationship between lies and authoritarianism. Through Solnit’s celebrated ability to draw unexpected connections, readers encounter the photographer Tina Modotti’s roses and her Stalinism, Stalin’s obsession with forcing lemons to grow in impossibly cold conditions, Orwell’s slave-owning ancestors in Jamaica, Jamaica Kincaid’s critique of colonialism and imperialism in the flower garden, and the brutal rose industry in Colombia that supplies the American market. The book draws to a close with a rereading of Nineteen Eighty-Four that completes her portrait of a more hopeful Orwell, as well as a reflection on pleasure, beauty, and joy as acts of resistance.

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

    We also learn how Dalí draws inspiration from excrement, rotten fish and Vermeer's Lacemaker to enter his "rhinocerontic" period, preaching his post-holocaustal gospels of nuclear mysticism and cosmogenic atavism; and we follow the labyrinthine mental journeys that lead to the creation of such paintings as the Assumption, and his film script The Flesh Wheelbarrow.This new expanded edition includes a brilliant and revelatory essay on Salvador Dalí, and the importance of his art to the 20th century, by the author J. G. Ballard.

    In addition to showing how recent metaphysics has drifted away from connection with all other serious scholarly inquiry as a result of not heeding this restriction, they demonstrate how to build a metaphysics compatible with current fundamental phsyics ("ontic structural realism"), which, when combined with their metaphysics of the special sciences ("rainforest realism"), can be used to unify physics with the other sciences without reducing these sciences to physics intself. Taking science metaphysically seriously, Ladyman and Ross argue, means that metaphysicians must abandon the picture of the world as composed of self-subsistent individual objects, and the paradigm of causation as the collision of such objects. Every Thing Must Go also assesses the role of information theory and complex systems theory in attempts to explain the relationship between the special sciences and physics, treading a middle road between the grand synthesis of thermodynamics and information, and eliminativism about information. The consequences of the author's metaphysical theory for central issues in the philosophy of science are explored, including the implications for the realism vs. empiricism debate, the role of causation in scientific explanations, the nature of causation and laws, the status of abstract and virtual objects, and the objective reality of natural kinds

    Yet unlike Einstein, with whom he formed a warm and abiding friendship, Gödel has long escaped all but the most casual scrutiny of his life.Stephen Budiansky’s Journey to the Edge of Reason is the first biography to fully draw upon Gödel’s voluminous letters and writings—including a never-before-transcribed shorthand diary of his most intimate thoughts—to explore Gödel’s profound intellectual friendships, his moving relationship with his mother, his troubled yet devoted marriage, and the debilitating bouts of paranoia that ultimately took his life. It also offers an intimate portrait of the scientific and intellectual circles in prewar Vienna, a haunting account of Gödel’s and Jewish intellectuals’ flight from Austria and Germany at the start of the Second World War, and a vivid re-creation of the early days of Princeton’s Institute for Advanced Study, where Gödel and Einstein both worked.Eloquent and insightful, Journey to the Edge of Reason is a fully realized portrait of the odd, brilliant, and tormented man who has been called the greatest logician since Aristotle, and illuminates the far-reaching implications of Gödel’s revolutionary ideas for philosophy, mathematics, artificial intelligence, and man’s place in the cosmos.

    . . . At the editing table, when I run the strip of film through, frame by frame, I still feel that dizzy sense of magic of my childhood.” Bergman, who has conveyed this heady sense of wonder and vision to moviegoers for decades, traces his lifelong love affair with film in his breathtakingly visual autobiography, The Magic Lantern.More grand mosaic than linear account, Bergman’s vignettes trace his life from a rural Swedish childhood through his work in theater to Hollywood’s golden age, and a tumultuous romantic history that includes five wives and more than a few mistresses. Throughout, Bergman recounts his life in a series of deeply personal flashbacks that document some of the most important moments in twentieth-century filmmaking as well as the private obsessions of the man behind them. Ambitious in scope yet sensitively wrought, The Magic Lantern is a window to the mind of one of our era’s great geniuses.“[Bergman] has found a way to show the soul’s landscape . . . . Many gripping revelations.”—New York Times Book Review“Joan Tate’s translation of this book has delicacy and true pitch . . . The Magic Lantern is as personal and penetrating as a Bergman film, wry, shadowy, austere.”—New Republic“[Bergman] keeps returning to his past, reassessing it, distilling its meaning, offering it to his audiences in dazzling new shapes.”—New York Times“What Bergman does relate, particularly his tangled relationships with his parents, is not only illuminating but quite moving. No ‘tell-all’ book this one, but revealing in ways that much longer and allegedly ‘franker’ books are not.”—Library Journal

    A meld of history and science, this book is a group portrait of some of the greatest minds who ever lived as they wrestled with nature’s most sweeping mysteries. The answers they uncovered still hold the key to how we understand the world.At the end of the seventeenth century—an age of religious wars, plague, and the Great Fire of London—when most people saw the world as falling apart, these earliest scientists saw a world of perfect order. They declared that, chaotic as it looked, the universe was in fact as intricate and perfectly regulated as a clock. This was the tail end of Shakespeare’s century, when the natural land the supernatural still twined around each other. Disease was a punishment ordained by God, astronomy had not yet broken free from astrology, and the sky was filled with omens. It was a time when little was known and everything was new. These brilliant, ambitious, curious men believed in angels, alchemy, and the devil, and they also believed that the universe followed precise, mathematical laws—-a contradiction that tormented them and changed the course of history.The Clockwork Universe is the fascinating and compelling story of the bewildered geniuses of the Royal Society, the men who made the modern world.

    and a Professor of Life Sciences at UCLA who is immersed in the debate on religion. In Anarchy Evolution, Graffin puts forth his bold ideas about “naturalism” and the connection between science religion and art. In this provocative and timely book, Graffin tackles head on the “intellectual dishonestly” of creationism; he also shares compelling stories about his childhood and how science saved him when he ran into trouble as a teenager. Anarchy Evolution will appeal to the fans of Bad Religion (which as sold over 2.8 million albums) as well as readers of Richard Dawkins and Christopher Hitchens. The book coincides with a major national Bad Religion reunion tour that will start in October of 2010.

    In the 1970s, Pollack had excelled as one of Yale’s first two women to earn a bachelor of science degree in physics. But, isolated, lacking in confidence, and starved for encouragement, she abandoned her lifelong dream of becoming a theoretical physicist. Years later, she thought back on her experiences and wondered what had changed in the intervening decades, and what challenges remained. Based on six years of interviewing dozens of teachers and students and reviewing studies on gender bias, The Only Woman in the Room is an illuminating exploration of the cultural, social, psychological, and institutional barriers confronting women in the STEM disciplines. Pollack brings to light the struggles that women in the sciences are often hesitant to admit and provides hope that changing attitudes and behaviors can bring more women into fields in which they remain, to this day, seriously underrepresented.Eileen Pollack is the author of the novels Breaking and Entering (a New York Times Editor’s Choice selection) and Paradise, New York, as well as two collections of short fiction, an award-winning book of nonfiction, and two creative-nonfiction textbooks. Her work has appeared in Best American Essays and Best American Short Stories. She is a professor on the faculty of the Helen Zell MFA Program in Creative Writing at the University of Michigan. She divides her time between Manhattan and Ann Arbor, Michigan.

    This account of Heidegger's personal relations, originally published in German and extensively corrected by the author for this translation, enlarges our understanding of a complex figure.A well-known art historian and an intimate friend of Heidegger's, Heinrich Wiegand Petzet provides a rich portrait of Heidegger that is part memoir, part biography, and part cultural history. By recounting chronologically a series of encounters between the two friends from their meeting in 1929 until the philosopher's death in 1976, as well as between Heidegger and other contemporaries, Petzet reveals not only new aspects of Heidegger's thought and attitudes toward the historical and intellectual events of his time but also the greater cultural and social context in which he articulated his thought.

    Often dismissed as a social climber who faded into the woodwork after she divorced Jackie's father-the dashing, disreputable "Black Jack" Bouvier-and married the rich Hugh D. Auchincloss, Janet not only played a pivotal part in Jackie's own wedding to JFK, but often served as a stand-in for Jackie during the White House years, and helped her cope with John and Caroline after the assassination.The only book to explore this fascinating mother-daughter relationship, Janet & Jackie is filled with stories that shed new light on the personal life of an American icon.

    Videos from the three lectures are available here: https://cast.switch.ch/vod/channels/1...An excerpt from the published version of the first chapter is available here: http://www.nybooks.com/articles/archi...