Book picks similar to
Introduction to Axiomatic Set Theory by Gaisi Takeuti
mathematics
logic
axiomatic
graduate-texts-in-mathematics
Gödel's Proof
Ernest Nagel - 1958
Gödel received public recognition of his work in 1951 when he was awarded the first Albert Einstein Award for achievement in the natural sciences--perhaps the highest award of its kind in the United States. The award committee described his work in mathematical logic as "one of the greatest contributions to the sciences in recent times."However, few mathematicians of the time were equipped to understand the young scholar's complex proof. Ernest Nagel and James Newman provide a readable and accessible explanation to both scholars and non-specialists of the main ideas and broad implications of Gödel's discovery. It offers every educated person with a taste for logic and philosophy the chance to understand a previously difficult and inaccessible subject.New York University Press is proud to publish this special edition of one of its bestselling books. With a new introduction by Douglas R. Hofstadter, this book will appeal students, scholars, and professionals in the fields of mathematics, computer science, logic and philosophy, and science.
The Poetics of Space
Gaston Bachelard - 1957
Bachelard takes us on a journey, from cellar to attic, to show how our perceptions of houses and other shelters shape our thoughts, memories, and dreams."A magical book. . . . The Poetics of Space is a prism through which all worlds from literary creation to housework to aesthetics to carpentry take on enhanced-and enchanted-significances. Every reader of it will never see ordinary spaces in ordinary ways. Instead the reader will see with the soul of the eye, the glint of Gaston Bachelard." -from the new foreword by John R. Stilgoe
Why Marx Was Right
Terry Eagleton - 2011
Taking ten of the most common objections to Marxism—that it leads to political tyranny, that it reduces everything to the economic, that it is a form of historical determinism, and so on—he demonstrates in each case what a woeful travesty of Marx's own thought these assumptions are. In a world in which capitalism has been shaken to its roots by some major crises, Why Marx Was Right is as urgent and timely as it is brave and candid. Written with Eagleton's familiar wit, humor, and clarity, it will attract an audience far beyond the confines of academia.
Imagined Communities: Reflections on the Origin and Spread of Nationalism
Benedict Anderson - 1983
In this widely acclaimed work, Benedict Anderson examines the creation and global spread of the 'imagined communities' of nationality.Anderson explores the processes that created these communities: the territorialization of religious faiths, the decline of antique kingship, the interaction between capitalism and print, the development of vernacular languages-of-state, and changing conceptions of time. He shows how an originary nationalism born in the Americas was modularly adopted by popular movements in Europe, by the imperialist powers, and by the anti-imperialist resistances in Asia and Africa.This revised edition includes two new chapters, one of which discusses the complex role of the colonialist state's mindset in the develpment of Third World nationalism, while the other analyses the processes by which, all over the world, nations came to imagine themselves as old.
Walter Benjamin: Selected Writings, 4: 1938-1940
Walter Benjamin - 2003
Not long afterward, he himself would fall prey to those powers, a victim of suicide following a failed attempt to flee the Nazis. However insistently the idea of catastrophe hangs over Benjamin's writings in the final years of his life, the "victories wrested" in this period nonetheless constitute some of the most remarkable twentieth-century analyses of the emergence of modern society. The essays on Charles Baudelaire are the distillation of a lifetime of thinking about the nature of modernity. They record the crisis of meaning experienced by a civilization sliding into the abyss, even as they testify to Benjamin's own faith in the written word.This volume ranges from studies of Baudelaire, Brecht, and the historian Carl Jochmann to appraisals of photography, film, and poetry. At their core is the question of how art can survive and thrive in a tumultuous time. Here we see Benjamin laying out an ethic for the critic and artist--a subdued but resilient heroism. At the same time, he was setting forth a sociohistorical account of how art adapts in an age of violence and repression.Working at the height of his powers to the very end, Benjamin refined his theory of the mass media that culminated in the final version of his essay "The Work of Art in the Age of Its Technological Reproducibility." Also included in this volume is his influential piece "On the Concept of History," completed just before his death. The book is remarkable for its inquiry into the nature of "the modern" (especially as revealed in Baudelaire), for its ideas about the transmogrification of art and the radical discontinuities of history, and for its examples of humane life and thought in the midst of barbarism. The entire collection is eloquent testimony to the indomitable spirit of humanity under siege.
Orientalism
Edward W. Said - 1978
This entrenched view continues to dominate western ideas and, because it does not allow the East to represent itself, prevents true understanding. Essential, and still eye-opening, Orientalism remains one of the most important books written about our divided world.
Critical Theory Today: A User-Friendly Guide
Lois Tyson - 1998
It provides clear, simple explanations and concrete examples of complex concepts, making a wide variety of commonly used critical theories accessible to novices without sacrificing any theoretical rigor or thoroughness.This new edition provides in-depth coverage of the most common approaches to literary analysis today: feminism, psychoanalysis, Marxism, reader-response theory, new criticism, structuralism and semiotics, deconstruction, new historicism, cultural criticism, lesbian/gay/queer theory, African American criticism, and postcolonial criticism. The chapters provide an extended explanation of each theory, using examples from everyday life, popular culture, and literary texts; a list of specific questions critics who use that theory ask about literary texts; an interpretation of F. Scott Fitzgerald's The Great Gatsby through the lens of each theory; a list of questions for further practice to guide readers in applying each theory to different literary works; and a bibliography of primary and secondary works for further reading.
Godel: A Life Of Logic, The Mind, And Mathematics
John L. Casti - 2000
His Incompleteness Theorem turned not only mathematics but also the whole world of science and philosophy on its head. Equally legendary were Gö's eccentricities, his close friendship with Albert Einstein, and his paranoid fear of germs that eventually led to his death from self-starvation. Now, in the first popular biography of this strange and brilliant thinker, John Casti and Werner DePauli bring the legend to life. After describing his childhood in the Moravian capital of Brno, the authors trace the arc of Gö's remarkable career, from the famed Vienna Circle, where philosophers and scientists debated notions of truth, to the Institute for Advanced Study in Princeton, New Jersey, where he lived and worked until his death in 1978. In the process, they shed light on Gö's contributions to mathematics, philosophy, computer science, artificial intelligence -- even cosmology -- in an entertaining and accessible way.
The Elementary Forms of Religious Life
Émile Durkheim - 1912
He investigates what he considered to be the simplest form of documented religion - totemism among the Aborigines of Australia. For Durkheim, studying Aboriginal religion was a way 'to yield an understanding of the religious nature of man, by showing us an essential and permanent aspect of humanity'. The need and capacity of men and women to relate to one another socially lies at the heart of Durkheim's exploration, in which religion embodies the beliefs that shape our moral universe. The Elementary Forms has been applauded and debated by sociologists, anthropologists, ethnographers, philosophers, and theologians, and continues to speak to new generations about the intriguing origin and nature of religion and society. This new, lightly abridged edition provides an excellent introduction to Durkheim's ideas.
How to Solve It: A New Aspect of Mathematical Method
George Pólya - 1944
Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be reasoned out--from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft--indeed, brilliant--instructions on stripping away irrelevancies and going straight to the heart of the problem.
The Lies That Bind: Rethinking Identity
Kwame Anthony Appiah - 2018
Religion. Race. Nationality. Class. Culture. Such affiliations give contours to our sense of self, and shape our polarized world. Yet the collective identities they spawn are riddled with contradictions, and cratered with falsehoods.Kwame Anthony Appiah’s "The Lies That Bind" is an incandescent exploration of the nature and history of the identities that define us. It challenges our assumptions about how identities work. We all know there are conflicts between identities, but Appiah shows how identities are created by conflict. Religion, he demonstrates, gains power because it isn’t primarily about belief. Our everyday notions of race are the detritus of discarded nineteenth-century science. Our cherished concept of the sovereign nation―of self-rule―is incoherent and unstable. Class systems can become entrenched by efforts to reform them. Even the very idea of Western culture is a shimmering mirage.From Anton Wilhelm Amo, the eighteenth-century African child who miraculously became an eminent European philosopher before retiring back to Africa, to Italo Svevo, the literary marvel who changed citizenship without leaving home, to Appiah’s own father, Joseph, an anticolonial firebrand who was ready to give his life for a nation that did not yet exist, Appiah interweaves keen-edged argument with vibrant narratives to expose the myths behind our collective identities.These “mistaken identities,” Appiah explains, can fuel some of our worst atrocities―from chattel slavery to genocide. And yet, he argues that social identities aren’t something we can simply do away with. They can usher in moral progress and bring significance to our lives by connecting the small scale of our daily existence with larger movements, causes, and concerns.Elaborating a bold and clarifying new theory of identity, "The Lies That Bind" is a ringing philosophical statement for the anxious, conflict-ridden twenty-first century. This book will transform the way we think about who―and what―“we” are.
Stigma: Notes on the Management of Spoiled Identity
Erving Goffman - 1963
Disqualified from full social acceptance, they are stigmatized individuals. Physically deformed people, ex-mental patients, drug addicts, prostitutes, or those ostracized for other reasons must constantly strive to adjust to their precarious social identities. Their image of themselves must daily confront and be affronted by the image which others reflect back to them.Drawing extensively on autobiographies and case studies, sociologist Erving Goffman analyzes the stigmatized person’s feelings about himself and his relationship to “normals” He explores the variety of strategies stigmatized individuals employ to deal with the rejection of others, and the complex sorts of information about themselves they project. In Stigma the interplay of alternatives the stigmatized individual must face every day is brilliantly examined by one of America’s leading social analysts.
The Fantastic: A Structural Approach to a Literary Genre
Tzvetan Todorov - 1970
His work on the fantastic is indeed about a historical phenomenon that we recognize, about specific works that we may read, but it is also about the use and abuse of generic theory.As an essay in fictional poetics, The Fantastic is consciously structuralist in its approach to the generic subject. Todorov seeks linguistic bases for the structural features he notes in a variety of fantastic texts, including Potocki's The Sargasso Manuscript, Nerval's Aur lia, Balzac's The Magic Skin, the Arabian Nights, Cazotte's Le Diable Amoureux, Kafka's The Metamorphosis, and tales by E. T. A. Hoffman, Charles Perrault, Guy de Maupassant, Nicolai Gogol, and Edgar A. Poe.
The Force of Nonviolence: The Ethical in the Political
Judith Butler - 2020
M. BernsteinJudith Butler’s new book shows how an ethic of nonviolence must be connected to a broader political struggle for social equality. Further, it argues that nonviolence is often misunderstood as a passive practice that emanates from a calm region of the soul, or as an individualist ethical relation to existing forms of power. But, in fact, nonviolence is an ethical position found in the midst of the political field. An aggressive form of nonviolence accepts that hostility is part of our psychic constitution, but values ambivalence as a way of checking the conversion of aggression into violence. One contemporary challenge to a politics of nonviolence points out that there is a difference of opinion on what counts as violence and nonviolence. The distinction between them can be mobilized in the service of ratifying the state’s monopoly on violence. Considering nonviolence as an ethical problem within a political philosophy requires a critique of individualism as well as an understanding of the psychosocial dimensions of violence. Butler draws upon Foucault, Fanon, Freud, and Benjamin to consider how the interdiction against violence fails to include lives regarded as ungrievable. By considering how “racial phantasms” inform justifications of state and administrative violence, Butler tracks how violence is often attributed to those who are most severely exposed to its lethal effects. The struggle for nonviolence is found in movements for social transformation that reframe the grievability of lives in light of social equality and whose ethical claims follow from an insight into the interdependency of life as the basis of social and political equality.
Distinction: A Social Critique of the Judgement of Taste
Pierre Bourdieu - 1979
Bourdieu's subject is the study of culture, and his objective is most ambitious: to provide an answer to the problems raised by Kant's Critique of Judgment by showing why no judgment of taste is innocent."A complex, rich, intelligent book. It will provide the historian of the future with priceless materials and it will bring an essential contribution to sociological theory."— Fernand Braudel "One of the more distinguished contributions to social theory and research in recent years . . . There is in this book an account of culture, and a methodology of its study, rich in implication for a diversity of fields of social research. The work in some ways redefines the whole scope of cultural studies."— Anthony Giddens, Partisan Review"A book of extraordinary intelligence." — Irving Louis Horowitz, Commonweal“Bourdieu’s analysis transcends the usual analysis of conspicuous consumption in two ways: by showing that specific judgments and choices matter less than an esthetic outlook in general and by showing, moreover, that the acquisition of an esthetic outlook not only advertises upper-class prestige but helps to keep the lower orders in line. In other words, the esthetic world view serves as an instrument of domination. It serves the interests not merely of status but of power. It does this, according to Bourdieu, by emphasizing individuality, rivalry, and ‘distinction’ and by devaluing the well-being of society as a whole.”— Christopher Lasch, Vogue