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Four Colors Suffice: How the Map Problem Was Solved
by Robin Wilson Ian StewartOn October 23, 1852, Professor Augustus De Morgan wrote a letter to a colleague, unaware that he was launching one of the most famous mathematical conundrums in history--one that would confound thousands of puzzlers for more than a century. This is the amazing story of how the "map problem" was solved. The problem posed in the letter came from a former student: What is the least possible number of colors needed to fill in any map (real or invented) so that neighboring counties are always colored differently? This deceptively simple question was of minimal interest to cartographers, who saw little need to limit how many colors they used. But the problem set off a frenzy among professional mathematicians and amateur problem solvers, among them Lewis Carroll, an astronomer, a botanist, an obsessive golfer, the Bishop of London, a man who set his watch only once a year, a California traffic cop, and a bridegroom who spent his honeymoon coloring maps. In their pursuit of the solution, mathematicians painted maps on doughnuts and horseshoes and played with patterned soccer balls and the great rhombicuboctahedron. It would be more than one hundred years (and countless colored maps) later before the result was finally established. Even then, difficult questions remained, and the intricate solution--which involved no fewer than 1,200 hours of computer time--was greeted with as much dismay as enthusiasm. Providing a clear and elegant explanation of the problem and the proof, Robin Wilson tells how a seemingly innocuous question baffled great minds and stimulated exciting mathematics with far-flung applications. This is the entertaining story of those who failed to prove, and those who ultimately did prove, that four colors do indeed suffice to color any map. This new edition features many color illustrations. It also includes a new foreword by Ian Stewart on the importance of the map problem and how it was solved.
On Physics and Philosophy
by Bernard D'EspagnatAmong the great ironies of quantum mechanics is not only that its conceptual foundations seem strange even to the physicists who use it, but that philosophers have largely ignored it. Here, Bernard d'Espagnat argues that quantum physics--by casting doubts on once hallowed concepts such as space, material objects, and causality-demands serious reconsideration of most of traditional philosophy. On Physics and Philosophy is an accessible, mathematics-free reflection on the philosophical meaning of the quantum revolution, by one of the world's leading authorities on the subject. D'Espagnat presents an objective account of the main guiding principles of contemporary physics-in particular, quantum mechanics-followed by a look at just what consequences these should imply for philosophical thinking. The author begins by describing recent discoveries in quantum physics such as nonseparability, and explicating the significance of contemporary developments such as decoherence. Then he proceeds to set various philosophical theories of knowledge--such as materialism, realism, Kantism, and neo-Kantism--against the conceptual problems quantum theory raises. His overall conclusion is that while the physical implications of quantum theory suggest that scientific knowledge will never truly describe mind-independent reality, the notion of such an ultimate reality--one we can never access directly or rationally and which he calls "veiled reality"--remains conceptually necessary nonetheless.
Isaiah Berlin: An Interpretation of His Thought
by John GrayIsaiah Berlin (1909-1997) was the greatest intellectual historian of the twentieth century. But his work also made an original and important contribution to moral and political philosophy and to liberal theory. In 1921, at the age of eleven, Isaiah Berlin arrived in England from Riga, Latvia. By the time he was thirty he was at the heart of British intellectual life. He has remained its commanding presence ever since, and few would dispute that he was one of Britain's greatest thinkers. His reputation extends worldwide--as a great conversationalist, intellectual historian, and man of letters. He has been called the century's most inspired reader. Yet Berlin's contributions to thought--in particular to moral and political philosophy, and to liberal theory--are little understood, and surprisingly neglected by the academic world. In this book, they are shown to be animated by a single, powerful, subversive idea: value-pluralism which affirms the reality of a deep conflict between ultimate human values that reason cannot resolve. Though bracingly clear-headed, humane and realist, Berlin's value-pluralism runs against the dominant Western traditions, secular and religious, which avow an ultimate harmony of values. It supports a highly distinctive restatement of liberalism in Berlin's work--an agnostic liberalism, which is founded not on rational choice but on the radical choices we make when faced with intractable dilemmas. It is this new statement of liberalism, the central subject of John Gray's lively and lucid book, which gives the liberal intellectual tradition a new lease on life, a new source of life, and which comprises Berlin's central and enduring legacy. In a new introduction, Gray argues that, in a world in which human freedom has spread more slowly than democracy, Berlin's account of liberty and basic decency is more instructive and useful than ever.
The Rise and Fall of Modern American Conservatism: A Short History
by David FarberThe Rise and Fall of Modern American Conservatism tells the gripping story of perhaps the most significant political force of our time through the lives and careers of six leading figures at the heart of the movement. David Farber traces the history of modern conservatism from its revolt against New Deal liberalism, to its breathtaking resurgence under Ronald Reagan, to its spectacular defeat with the election of Barack Obama. Farber paints vivid portraits of Robert Taft, William F. Buckley Jr., Barry Goldwater, Phyllis Schlafly, Ronald Reagan, and George W. Bush. He shows how these outspoken, charismatic, and frequently controversial conservative leaders were united by a shared insistence on the primacy of social order, national security, and economic liberty. Farber demonstrates how they built a versatile movement capable of gaining and holding power, from Taft's opposition to the New Deal to Buckley's founding of the National Review as the intellectual standard-bearer of modern conservatism; from Goldwater's crusade against leftist politics and his failed 1964 bid for the presidency to Schlafly's rejection of feminism in favor of traditional gender roles and family values; and from Reagan's city upon a hill to conservatism's downfall with Bush's ambitious presidency. The Rise and Fall of Modern American Conservatism provides rare insight into how conservatives captured the American political imagination by claiming moral superiority, downplaying economic inequality, relishing bellicosity, and embracing nationalism. This concise and accessible history reveals how these conservative leaders discovered a winning formula that enabled them to forge a powerful and formidable political majority.
The Papers of Thomas Jefferson, Retirement Series, Volume 8: 1 October 1814 to 31 August 1815
by Thomas Jefferson J. Jefferson LooneyVolume Eight of the project documenting Thomas Jefferson's last years presents 591 documents dated from 1 October 1814 to 31 August 1815. Jefferson is overjoyed by American victories late in the War of 1812 and highly interested in the treaty negotiations that ultimately end the conflict. Following Congress's decision to purchase his library, he oversees the counting, packing, and transportation of his books to Washington. Jefferson uses most of the funds from the sale to pay old debts but spends some of the proceeds on new titles. He resigns from the presidency of the American Philosophical Society, revises draft chapters of Louis H. Girardin's history of Virginia, and advises William Wirt on revolutionary-era Stamp Act resolutions. Jefferson criticizes those who discuss politics from the pulpit, and he drafts a bill to transform the Albemarle Academy into Central College. Monticello visitors Francis W. Gilmer, Francis C. Gray, and George Ticknor describe the mountaintop and its inhabitants, and Gray's visit leads to an exchange with Jefferson about how many generations of white interbreeding it takes to clear Negro blood. Finally, although death takes his nephew Peter Carr and brother Randolph Jefferson, the marriage of his grandson Thomas Jefferson Randolph is a continuing source of great happiness.
Creating a New Racial Order: How Immigration, Multiracialism, Genomics, and the Young Can Remake Race in America (PDF)
by Jennifer L. Hochschild Vesla M. Weaver Traci R. BurchThe American racial order--the beliefs, institutions, and practices that organize relationships among the nation's races and ethnicities--is undergoing its greatest transformation since the 1960s. Creating a New Racial Order takes a groundbreaking look at the reasons behind this dramatic change, and considers how different groups of Americans are being affected. Through revealing narrative and striking research, the authors show that the personal and political choices of Americans will be critical to how, and how much, racial hierarchy is redefined in decades to come. The authors outline the components that make up a racial order and examine the specific mechanisms influencing group dynamics in the United States: immigration, multiracialism, genomic science, and generational change. Cumulatively, these mechanisms increase heterogeneity within each racial or ethnic group, and decrease the distance separating groups from each other. The authors show that individuals are moving across group boundaries, that genomic science is challenging the whole concept of race, and that economic variation within groups is increasing. Above all, young adults understand and practice race differently from their elders: their formative memories are 9/11, Hurricane Katrina, and Obama's election--not civil rights marches, riots, or the early stages of immigration. Blockages could stymie or distort these changes, however, so the authors point to essential policy and political choices. Portraying a vision, not of a postracial America, but of a different racial America, Creating a New Racial Order examines how the structures of race and ethnicity are altering a nation.
Invisible in the Storm: The Role of Mathematics in Understanding Weather
by Ian Roulstone John NorburyInvisible in the Storm is the first book to recount the history, personalities, and ideas behind one of the greatest scientific successes of modern times--the use of mathematics in weather prediction. Although humans have tried to forecast weather for millennia, mathematical principles were used in meteorology only after the turn of the twentieth century. From the first proposal for using mathematics to predict weather, to the supercomputers that now process meteorological information gathered from satellites and weather stations, Ian Roulstone and John Norbury narrate the groundbreaking evolution of modern forecasting. The authors begin with Vilhelm Bjerknes, a Norwegian physicist and meteorologist who in 1904 came up with a method now known as numerical weather prediction. Although his proposed calculations could not be implemented without computers, his early attempts, along with those of Lewis Fry Richardson, marked a turning point in atmospheric science. Roulstone and Norbury describe the discovery of chaos theory's butterfly effect, in which tiny variations in initial conditions produce large variations in the long-term behavior of a system--dashing the hopes of perfect predictability for weather patterns. They explore how weather forecasters today formulate their ideas through state-of-the-art mathematics, taking into account limitations to predictability. Millions of variables--known, unknown, and approximate--as well as billions of calculations, are involved in every forecast, producing informative and fascinating modern computer simulations of the Earth system. Accessible and timely, Invisible in the Storm explains the crucial role of mathematics in understanding the ever-changing weather.
Physics for the Inquiring Mind: The Methods, Nature, and Philosophy of Physical Science
by Eric M. RogersIn our scientific age an understanding of physics is part of a liberal education. Lawyers, bankers, governors, business heads, administrators, all wise educated people need a lasting understanding of physics so that they can enjoy those contacts with science and scientists that are part of our civilization both materially and intellectually. They need knowledge and understanding instead of the feelings, all too common, that physics is dark and mysterious and that physicists are a strange people with incomprehensible interests. Such a sense of understanding science and scientists can be gained neither from sermons on the beauty of science nor from the rigorous courses that colleges have offered for generations; when the headache clears away it leaves little but a confused sense of mystery. Nor is the need met by survey courses that offer a smorgasbord of tidbit--they give science a bad name as a compendium of information or formulas. The non-scientist needs a course of study that enables him to learn real science and make its own--with delight. For lasting benefits the intelligent non-scientist needs a course of study that enables him to learn genuine science carefully and then encourages him to think about it and use it. He needs a carefully selected framework of topics--not so many that learning becomes superficial and hurried; not so few that he misses the connected nature of scientific work and thinking. He must see how scientific knowledge is built up by building some scientific knowledge of his own, by reading and discussing and if possible by doing experiments himself. He must think his own way through some scientific arguments. He must form his own opinion, with guidance, concerning the parts played by experiment and theory; and he must be shown how to develop a taste for good theory. He must see several varieties of scientific method at work. And above all, he must think about science for himself and enjoy that. These are the things that this book encourages readers to gain, by their own study and thinking. Physics for the Inquiring Mind is a book for the inquiring mind of students in college and for other readers who want to grow in scientific wisdom, who want to know what physics really is.
Niccolò Machiavelli: An Intellectual Biography
by Corrado Vivanti Simon MacmichaelThis is a colorful, comprehensive, and authoritative introduction to the life and work of the author of The Prince--Florentine statesman, writer, and political philosopher Niccolò Machiavelli (1469-1527). Corrado Vivanti, who was one of the world's leading Machiavelli scholars, provides an unparalleled intellectual biography that demonstrates the close connections between Machiavelli's thought and his changing fortunes during the tumultuous Florentine republic and his subsequent exile. Vivanti's concise account covers not only Machiavelli's most famous works--The Prince, The Discourses, The Florentine Histories, and The Art of War--but also his letters, poetry, and comic dramas. While setting Machiavelli's life against a dramatic backdrop of war, crisis, and diplomatic intrigue, the book also paints a vivid human portrait of the man. Vivanti's narrative breaks Machiavelli's life into three parts: his career in a variety of government and diplomatic posts in the Florentine republic between 1494 and 1512, when the Medici returned from exile, seized power, and removed Machiavelli from office; the pivotal first part of his subsequent exile, when he formulated his most influential ideas and wrote The Prince; and the final decade of his life, when, having returned to Florence, he wrote The Art of War, The Florentine Histories, the satirical play The Mandrake, and other works. Along the way, the biography presents unmatched accounts of many intensely debated topics, including the precise nature of Machiavelli's cultural and intellectual background, his republicanism, his political and personal relationship to the Medici, and his ideas about religion.
Wilhelm Dilthey: The Formation of the Historical World in the Human Sciences
by Wilhelm Dilthey Rudolf A. Makkreel Frithjof RodiThis volume provides Dilthey's most mature and best formulation of his Critique of Historical Reason. It begins with three "Studies Toward the Foundation of the Human Sciences," in which Dilthey refashions Husserlian concepts to describe the basic structures of consciousness relevant to historical understanding.The volume next presents the major 1910 work The Formation of the Historical World in the Human Sciences. Here Dilthey considers the degree to which carriers of history--individuals, cultures, institutions, and communities--can be articulated as productive systems capable of generating value and meaning and of realizing purposes. Hegel's idea of objective spirit is reconceived in a more empirical form to designate the medium of commonality in which historical beings are immersed. Any universal claims about history need to be framed within the specific productive systems analyzed by the various human sciences. Dilthey's drafts for the Continuation of the Formation contain extensive discussions of the categories most important for our knowledge of historical life: meaning, value, purpose, time, and development. He also examines the contributions of autobiography to historical understanding and of biography to scientific history.The finest summary of Dilthey's views on hermeneutics can be found in "The Understanding of Other Persons and Their Manifestations of Life." Here, Dilthey differentiates understanding relative to three kinds of manifestations of life. After giving his analysis of elementary understanding, he examines the role of induction in higher understanding and interpretation, and the relevance of transposition and re-experiencing for grasping individuality.
Wilhelm Dilthey: Hermeneutics and the Study of History
by Wilhelm Dilthey Rudolf A. Makkreel Frithjof RodiThe philosopher and historian of culture Wilhelm Dilthey (1833-1911) has had a significant and continuing influence on twentieth-century Continental philosophy and in a broad range of scholarly disciplines. This volume is the third to be published in Princeton University Press's projected six-volume series of his most important works. Part One makes available three of his works on hermeneutics and its history: "Schleiermacher's Hermeneutical System in Relation to Earlier Protestant Hermeneutics" (The Prize Essay of 1860); "On Understanding and Hermeneutics" (1867-68), based on student lecture notes, and the "The Rise of Hermeneutics" (1900), which traces the history of hermeneutics back to Hellenistic Greece. All the addenda to this well-known essay are translated here, some for the first time. In them Dilthey articulates three philosophical aporias concerning hermeneutics and projects an ultimate convergence between understanding and explanation. Part Two provides translations of review essays by Dilthey on Buckle's use of statistical history and on Burckhardt's cultural history; an essay "Friedrich Schlosser and the Problem of Universal History;" and a talk recalling his early years as a student of Boeckh, Jakob Grimm, Mommsen, Ranke, and Ritter. It also contains the important historical essay "The Eighteenth Century and the Historical World," in which Dilthey reexamines the Enlightenment to show its significant contributions to the rise of historical consciousness.
The Pursuit of Laziness: An Idle Interpretation of the Enlightenment
by Pierre Saint-Amand Jennifer Curtiss GageWe think of the Enlightenment as an era dominated by ideas of progress, production, and industry--not an era that favored the lax and indolent individual. But was the Enlightenment only about the unceasing improvement of self and society? The Pursuit of Laziness examines moral, political, and economic treatises of the period, and reveals that crucial eighteenth-century texts did find value in idleness and nonproductivity. Fleshing out Enlightenment thinking in the works of Denis Diderot, Joseph Joubert, Pierre de Marivaux, Jean-Jacques Rousseau, and Jean-Siméon Chardin, this book explores idleness in all its guises, and illustrates that laziness existed, not as a vice of the wretched, but as an exemplar of modernity and a resistance to beliefs about virtue and utility. Whether in the dawdlings of Marivaux's journalist who delayed and procrastinated or in the subjects of Chardin's paintings who delighted in suspended, playful time, Pierre Saint-Amand shows how eighteenth-century works provided a strong argument for laziness. Rousseau abandoned his previous defense of labor to pursue reverie and botanical walks, Diderot emphasized a parasitic strategy of resisting work in order to liberate time, and Joubert's little-known posthumous Notebooks radically opposed the central philosophy of the Enlightenment in a quest to infinitely postpone work. Unsettling the stubborn view of the eighteenth century as an age of frenetic industriousness and labor, The Pursuit of Laziness plumbs the texts and images of the time and uncovers deliberate yearnings for slowness and recreation.
Only a Promise of Happiness: The Place of Beauty in a World of Art
by Alexander NehamasNeither art nor philosophy was kind to beauty during the twentieth century. Much modern art disdains beauty, and many philosophers deeply suspect that beauty merely paints over or distracts us from horrors. Intellectuals consigned the passions of beauty to the margins, replacing them with the anemic and rarefied alternative, "aesthetic pleasure." In Only a Promise of Happiness, Alexander Nehamas reclaims beauty from its critics. He seeks to restore its place in art, to reestablish the connections among art, beauty, and desire, and to show that the values of art, independently of their moral worth, are equally crucial to the rest of life. Nehamas makes his case with characteristic grace, sensitivity, and philosophical depth, supporting his arguments with searching studies of art and literature, high and low, from Thomas Mann's Death in Venice and Manet's Olympia to television. Throughout, the discussion of artworks is generously illustrated. Beauty, Nehamas concludes, may depend on appearance, but this does not make it superficial. The perception of beauty manifests a hope that life would be better if the object of beauty were part of it. This hope can shape and direct our lives for better or worse. We may discover misery in pursuit of beauty, or find that beauty offers no more than a tantalizing promise of happiness. But if beauty is always dangerous, it is also a pressing human concern that we must seek to understand, and not suppress.
The Pythagorean Theorem: A 4,000-Year History
by Eli MaorBy any measure, the Pythagorean theorem is the most famous statement in all of mathematics. In this book, Eli Maor reveals the full story of this ubiquitous geometric theorem. Maor shows that the theorem, although attributed to Pythagoras, was known to the Babylonians more than a thousand years earlier. Pythagoras may have been the first to prove it, but his proof--if indeed he had one--is lost to us. The theorem itself, however, is central to almost every branch of science, pure or applied. Maor brings to life many of the characters that played a role in the development of the Pythagorean theorem, providing a fascinating backdrop to perhaps our oldest enduring mathematical legacy.
A Wealth of Numbers: An Anthology of 500 Years of Popular Mathematics Writing (PDF)
by Benjamin WardhaughDespite what we may sometimes imagine, popular mathematics writing didn't begin with Martin Gardner. In fact, it has a rich tradition stretching back hundreds of years. This entertaining and enlightening anthology--the first of its kind--gathers nearly one hundred fascinating selections from the past 500 years of popular math writing, bringing to life a little-known side of math history. Ranging from the late fifteenth to the late twentieth century, and drawing from books, newspapers, magazines, and websites, A Wealth of Numbers includes recreational, classroom, and work mathematics; mathematical histories and biographies; accounts of higher mathematics; explanations of mathematical instruments; discussions of how math should be taught and learned; reflections on the place of math in the world; and math in fiction and humor. Featuring many tricks, games, problems, and puzzles, as well as much history and trivia, the selections include a sixteenth-century guide to making a horizontal sundial; "Newton for the Ladies" (1739); Leonhard Euler on the idea of velocity (1760); "Mathematical Toys" (1785); a poetic version of the rule of three (1792); "Lotteries and Mountebanks" (1801); Lewis Carroll on the game of logic (1887); "Maps and Mazes" (1892); "Einstein's Real Achievement" (1921); "Riddles in Mathematics" (1945); "New Math for Parents" (1966); and "PC Astronomy" (1997). Organized by thematic chapters, each selection is placed in context by a brief introduction. A unique window into the hidden history of popular mathematics, A Wealth of Numbers will provide many hours of fun and learning to anyone who loves popular mathematics and science.
Hegel and the Spirit: Philosophy as Pneumatology
by Alan M. OlsonHegel and the Spirit explores the meaning of Hegel's grand philosophical category, the category of Geist, by way of what Alan Olson terms a pneumatological thesis. Hegel's philosophy of spirit, according to Olson, is a speculative pneumatology that completes what Adolf von Harnack once called the "orphan doctrine" in Christian theology--the doctrine of the Holy Spirit. Olson argues that Hegel's development of philosophy as pneumatology originates out of a deep appreciation of Luther's dialectical understanding of Spirit and that Hegel's doctrine of Spirit is thus deeply interfused with the values of Würtemberg Pietism. Olson further maintains that Hegel's Enzyklopdie is the post-Enlightenment philosophical equivalent of a Trinitätslehre and that his Rechtsphilosophie is an ecclesiology. Thus Hegel and the Spirit demonstrates the truth of Karl Barth's observation that Hegel is the potential Aquinas of Protestantism. Exploring Hegel's philosophy of spirit in historical, cultural, and personal religious context, the book identifies Hegel's relationship with Hölderlin and his response to Hölderlin's madness as key elements in the philosopher's religious and philosophical development, especially with respect to the meaning of transcendence and dialectic.
The Mind's Provisions: A Critique of Cognitivism
by Vincent DescombesVincent Descombes brings together an astonishingly large body of philosophical and anthropological thought to present a thoroughgoing critique of contemporary cognitivism and to develop a powerful new philosophy of the mind.Beginning with a critical examination of American cognitivism and French structuralism, Descombes launches a more general critique of all philosophies that view the mind in strictly causal terms and suppose that the brain--and not the person--thinks. Providing a broad historical perspective, Descombes draws surprising links between cognitivism and earlier anthropological projects, such as Lévi-Strauss's work on the symbolic status of myths. He identifies as incoherent both the belief that mental states are detached from the world and the idea that states of mind are brain states; these assumptions beg the question of the relation between mind and brain.In place of cognitivism, Descombes offers an anthropologically based theory of mind that emphasizes the mind's collective nature. Drawing on Wittgenstein, he maintains that mental acts are properly attributed to the person, not the brain, and that states of mind, far from being detached from the world, require a historical and cultural context for their very intelligibility.Available in English for the first time, this is the most outstanding work of one of France's finest contemporary philosophers. It provides a much-needed link between the continental and Anglo-American traditions, and its impact will extend beyond philosophy to anthropology, psychology, critical theory, and French studies.
Fateful Beauty: Aesthetic Environments, Juvenile Development, and Literature, 1860-1960
by Douglas MaoWhen Oscar Wilde said he had "seen wallpaper which must lead a boy brought up under its influence to a life of crime," his joke played on an idea that has often been taken quite seriously--both in Wilde's day and in our own. In Fateful Beauty, Douglas Mao recovers the lost intellectual, social, and literary history of the belief that the beauty--or ugliness--of the environment in which one is raised influences or even determines one's fate. Weaving together readings in literature, psychology, biology, philosophy, education, child-rearing advice, and interior design, he shows how this idea abetted a dramatic rise in attention to environment in many discourses and in many practices affecting the lives of the young between the late nineteenth century and the middle of the twentieth. Through original and detailed analyses of Wilde, Walter Pater, James Joyce, Theodore Dreiser, Rebecca West, and W. H. Auden, Mao shows that English-language writing of the period was informed in crucial but previously unrecognized ways by the possibility that beautiful environments might produce better people. He also reveals how these writers shared concerns about environment, evolution, determinism, freedom, and beauty with scientists and social theorists such as Herbert Spencer, Hermann von Helmholtz, Ivan Petrovich Pavlov, and W.H.R. Rivers. In so doing, Mao challenges conventional views of the roles of beauty and the aesthetic in art and life during this time.
Resisting History: Historicism and Its Discontents in German-Jewish Thought
by David N. MyersNineteenth-century European thought, especially in Germany, was increasingly dominated by a new historicist impulse to situate every event, person, or text in its particular context. At odds with the transcendent claims of philosophy and--more significantly--theology, historicism came to be attacked by its critics for reducing human experience to a series of disconnected moments, each of which was the product of decidedly mundane, rather than sacred, origins. By the late nineteenth century and into the Weimar period, historicism was seen by many as a grinding force that corroded social values and was emblematic of modern society's gravest ills. Resisting History examines the backlash against historicism, focusing on four major Jewish thinkers. David Myers situates these thinkers in proximity to leading Protestant thinkers of the time, but argues that German Jews and Christians shared a complex cultural and discursive world best understood in terms of exchange and adaptation rather than influence.After examining the growing dominance of the new historicist thinking in the nineteenth century, the book analyzes the critical responses of Hermann Cohen, Franz Rosenzweig, Leo Strauss, and Isaac Breuer. For this fascinating and diverse quartet of thinkers, historicism posed a stark challenge to the ongoing vitality of Judaism in the modern world. And yet, as they set out to dilute or eliminate its destructive tendencies, these thinkers often made recourse to the very tools and methods of historicism. In doing so, they demonstrated the utter inescapability of historicism in modern culture, whether approached from a Christian or Jewish perspective.
Art of the Modern Age: Philosophy of Art from Kant to Heidegger (PDF)
by Jean-Marie Schaeffer Steven RendallThis is a sweeping and provocative work of aesthetic theory: a trenchant critique of the philosophy of art as it developed from the eighteenth century to the early twentieth century, combined with a carefully reasoned plea for a new and more flexible approach to art.Jean-Marie Schaeffer, one of France's leading aestheticians, explores the writings of Kant, Schlegel, Novalis, Hegel, Schopenhauer, Nietzsche, and Heidegger to show that these diverse thinkers shared a common approach to art, which he calls the "speculative theory." According to this theory, art offers a special kind of intuitive, quasi-mystical knowledge, radically different from the rational knowledge acquired by science. This view encouraged theorists to consider artistic geniuses the high-priests of humanity, creators of works that reveal the invisible essence of the world. Philosophers came to regard inexpressibility as the aim of art, refused to consider second-tier creations genuine art, and helped to create conditions in which the genius was expected to shock, puzzle, and mystify the public. Schaeffer shows that this speculative theory helped give birth to romanticism, modernism, and the avant-garde, and paved the way for an unfortunate divorce between art and enjoyment, between "high art" and popular art, and between artists and their public.Rejecting the speculative approach, Schaeffer concludes by defending a more tolerant theory of art that gives pleasure its due, includes popular art, tolerates less successful works, and accounts for personal tastes."[A] remarkable work.... [Schaeffer's] writing is governed by ... the ideals of clarity and consequence, the ideas of logic, truth, and evidence.... Schaeffer is so precise and unrelenting a philosophical critic that one wonders how some of the philosophies he anatomizes here can possibly survive the operation."--From the foreword by Arthur C. Danto
Reconstructing the Roman Republic: An Ancient Political Culture and Modern Research
by Karl-J. Hölkeskamp Henry Heitmann-GordonIn recent decades, scholars have argued that the Roman Republic's political culture was essentially democratic in nature, stressing the central role of the 'sovereign' people and their assemblies. Karl-J. Hölkeskamp challenges this view in Reconstructing the Roman Republic, warning that this scholarly trend threatens to become the new orthodoxy, and defending the position that the republic was in fact a uniquely Roman, dominantly oligarchic and aristocratic political form. Hölkeskamp offers a comprehensive, in-depth survey of the modern debate surrounding the Roman Republic. He looks at the ongoing controversy first triggered in the 1980s when the 'oligarchic orthodoxy' was called into question by the idea that the republic's political culture was a form of Greek-style democracy, and he considers the important theoretical and methodological advances of the 1960s and 1970s that prepared the ground for this debate. Hölkeskamp renews and refines the 'elitist' view, showing how the republic was a unique kind of premodern city-state political culture shaped by a specific variant of a political class. He covers a host of fascinating topics, including the Roman value system; the senatorial aristocracy; competition in war and politics within this aristocracy; and the symbolic language of public rituals and ceremonies, monuments, architecture, and urban topography. Certain to inspire continued debate, Reconstructing the Roman Republic offers fresh approaches to the study of the republic while attesting to the field's enduring vitality.
What's Luck Got to Do with It?: The History, Mathematics, and Psychology of the Gambler's Illusion
by Joseph MazurWhy do so many gamblers risk it all when they know the odds of winning are against them? Why do they believe dice are "hot" in a winning streak? Why do we expect heads on a coin toss after several flips have turned up tails? What's Luck Got to Do with It? takes a lively and eye-opening look at the mathematics, history, and psychology of gambling to reveal the most widely held misconceptions about luck. It exposes the hazards of feeling lucky, and uses the mathematics of predictable outcomes to show when our chances of winning are actually good. Mathematician Joseph Mazur traces the history of gambling from the earliest known archaeological evidence of dice playing among Neolithic peoples to the first systematic mathematical studies of games of chance during the Renaissance, from government-administered lotteries to the glittering seductions of grand casinos, and on to the global economic crisis brought on by financiers' trillion-dollar bets. Using plenty of engaging anecdotes, Mazur explains the mathematics behind gambling--including the laws of probability, statistics, betting against expectations, and the law of large numbers--and describes the psychological and emotional factors that entice people to put their faith in winning that ever-elusive jackpot despite its mathematical improbability. As entertaining as it is informative, What's Luck Got to Do with It? demonstrates the pervasive nature of our belief in luck and the deceptive psychology of winning and losing.
Liberty and the News
by Walter Lippmann Sean Wilentz Ronald Steel Sidney BlumenthalLiberty and the News is Walter Lippman's classic account of how the press threatens democracy whenever it has an agenda other than the free flow of ideas. Arguing that there is a necessary connection between liberty and truth, Lippman excoriates the press, claiming that it exists primarily for its own purposes and agendas and only incidentally to promote the honest interplay of facts and ideas. In response, Lippman sought to imagine a better way of cultivating the news. A brilliant essay on a persistent problem of American democracy, Liberty and the News is still powerfully relevant despite the development of countless news sources unimagined when Lippman first published it in 1920. The problems he identifies--the self-importance of the press, the corrosion of rumors and innuendo, and the spinning of the news by political powers--are still with us, and they still threaten liberty. By focusing on the direct and necessary connection between liberty and truth, Lippmann's work helps to clarify one of the most pressing predicaments of American democracy today.
The Politics of Hope and The Bitter Heritage: American Liberalism in the 1960s
by Arthur M. Schlesinger Jr. Sean WilentzThe Politics of Hope and The Bitter Heritage brings together two important books that bracket the tempestuous politics of 1960s America. In The Politics of Hope, which historian Arthur Schlesinger, Jr., published in 1963 while serving as a special assistant to President Kennedy, Schlesinger defines the liberalism that characterized the Kennedy administration and the optimistic early Sixties. In lively and incisive essays, most of them written between 1956 and 1960, on topics such as the basic differences underlying liberal and conservative politics, the writing of history, and the experience of Communist countries, Schlesinger emphasizes the liberal thinker's responsibility to abide by goals rather than dogma, to learn from history, and to look to the future. Four years later, following Kennedy's assassination and the escalation of America's involvement in Vietnam, Schlesinger's tone changes. In The Bitter Heritage, a brief but penetrating appraisal of the "war that nobody wanted," he recounts America's entry into Vietnam, the history of the war, and its policy implications. The Bitter Heritage concludes with an eloquent and sobering assessment of the war's threat to American democracy and a reflection on the lessons or legacies of the Vietman conflict. With a new foreword by Sean Wilentz, the James Madison Library edition of The Politics of Hope and The Bitter Heritage situates liberalism in the convulsive 1960s--and illuminates the challenges that still face liberalism today.
Negative Math: How Mathematical Rules Can Be Positively Bent
by Alberto A. MartínezA student in class asks the math teacher: "Shouldn't minus times minus make minus?" Teachers soon convince most students that it does not. Yet the innocent question brings with it a germ of mathematical creativity. What happens if we encourage that thought, odd and ungrounded though it may seem? Few books in the field of mathematics encourage such creative thinking. Fewer still are engagingly written and fun to read. This book succeeds on both counts. Alberto Martinez shows us how many of the mathematical concepts that we take for granted were once considered contrived, imaginary, absurd, or just plain wrong. Even today, he writes, not all parts of math correspond to things, relations, or operations that we can actually observe or carry out in everyday life. Negative Math ponders such issues by exploring controversies in the history of numbers, especially the so-called negative and "impossible" numbers. It uses history, puzzles, and lively debates to demonstrate how it is still possible to devise new artificial systems of mathematical rules. In fact, the book contends, departures from traditional rules can even be the basis for new applications. For example, by using an algebra in which minus times minus makes minus, mathematicians can describe curves or trajectories that are not represented by traditional coordinate geometry. Clear and accessible, Negative Math expects from its readers only a passing acquaintance with basic high school algebra. It will prove pleasurable reading not only for those who enjoy popular math, but also for historians, philosophers, and educators. Key Features? Uses history, puzzles, and lively debates to devise new mathematical systems Shows how departures from rules can underlie new practical applications Clear and accessible Requires a background only in basic high school algebra