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| postmodern mathematics: Mathematics in a Postmodern Age Russell W. Howell, James Bradley, 2001 The discipline of mathematics has not been spared the sweeping critique of postmodernism. Is mathematical theory true for all time, or are mathematical constructs in fact fallible? This fascinating book examines the tensions that have arisen between modern and postmodern views of mathematics, explores alternative theories of mathematical truth, explains why the issues are important, and shows how a Christian perspective makes a difference. Contributors: W. James Bradley William Dembski Russell W. Howell Calvin Jongsma David Klanderman Christopher Menzel Glen VanBrummelen Scott VanderStoep Michael Veatch Paul Zwier |
| postmodern mathematics: Mathematics in Postmodern American Fiction Stuart J. Taylor, 2024-04-23 This book delivers an innovative critical approach to better understand U.S. fiction of the information age, and argues that in the last eighty years, fiction has become increasingly concerned with its representations of mathematical ideas, images, and practices. In so doing, this book provides a fuller, transnational account of the place of mathematics in understanding mathematically informed novels. Literature and science studies have acknowledged and situated historical points of cultural crossover; by emphasising mathematics within this larger intellectual context – and not as an unlikely and alien adjunct to post-war culture – this monograph clarifies how mathematically informed postmodern fictions work in a cognate fashion to other fields undergoing structuralist revolutions. This is especially evident in fiction by the key, mathematically-literate Postmodern authors upon whom this study focuses, namely, Thomas Pynchon, Don DeLillo, and David Foster Wallace, through which recent the technological revolutions, facilitated by mathematics, manifest in cultural discourse. |
| postmodern mathematics: Mathematics Education within the Postmodern Margaret Walshaw, 2004-06-01 This timely and accessible book presents a challenge to accepted wisdoms about both the nature of mathematics and of education. The authors of this groundbreaking volume bring to bear on this intersection a postmodern sensibility that engages with the grand narratives of mathematics education. Thus they provide a key resource for rethinking theory and practice in mathematics education. Each of the chapters develops important insights for mathematics education from mainly French intellectuals of the past: Foucault, Lacan, Lyotard, Deleuze. Each chapter addresses issues relevant to mathematics education, researching and teaching mathematics. |
| postmodern mathematics: Mathematics and the Roots of Postmodern Thought Vladimir Tasić, 2001 1. Introduction. 2. Around the Cartesian Circuit. 2.1. Imagination. 2.2. Intuition. 2.3. Counting to One. 3. Space Oddity and Linguistic Turn. 4. Wound of Language. 4.1. Being and Time Continuum. 4.2. Language and Will. 5. Beyond the Code. 5.1. Medium of Free Becoming. 5.2. Nonpresence of Identity. 6. The Expired Subject. 6.1. Empire of Signs. 6.2. Mechanical Bride. 7. The Vanishing Author. 8. Say Hello to the Structure Bubble. 8.1. Algebra of Language. 8.2. Functionalism Chic. 9. Don't Think, Look. 9.1. Interpolating the Self. 9.2. Language Games. 9.3. Thermostats R Us. 10. Postmo. |
| postmodern mathematics: Postmodern Analysis Jürgen Jost, 2013-03-09 What is the title of this book intended to signify, what connotations is the adjective Postmodern meant to carry? A potential reader will surely pose this question. To answer it, I should describe what distinguishes the approach to analysis presented here from what has been called Modern Analysis by its protagonists. Modern Analysis as represented in the works of the Bour baki group or in the textbooks by Jean Dieudonne is characterized by its systematic and axiomatic treatment and by its drive towards a high level of abstraction. Given the tendency of many prior treatises on analysis to degen erate into a collection of rather unconnected tricks to solve special problems, this definitively represented a healthy achievement. In any case, for the de velopment of a consistent and powerful mathematical theory, it seems to be necessary to concentrate solelyon the internal problems and structures and to neglect the relations to other fields of scientific, even of mathematical study for a certain while. Almost complete isolation may be required to reach the level of intellectual elegance and perfection that only a good mathematical theory can acquire. However, once this level has been reached, it might be useful to open one's eyes again to the inspiration coming from concrete ex ternal problems. |
| postmodern mathematics: Are Science and Mathematics Socially Constructed? Richard C. Brown, 2009 This book is a history, analysis, and criticism of what the author calls OC postmodern interpretations of scienceOCO (PIS) and the closely related OC sociology of scientific knowledgeOCO (SSK). This movement traces its origin to Thomas Kuhn''s revolutionary work, The Structure of Scientific Revolutions (1962), but is more extreme. It believes that science is a OC social constructionOCO, having little to do with nature, and is determined by contextual forces such as the race, class, gender of the scientist, laboratory politics, or the needs of the military industrial complex. |
| postmodern mathematics: Mathematics without Apologies Michael Harris, 2017-05-30 An insightful reflection on the mathematical soul What do pure mathematicians do, and why do they do it? Looking beyond the conventional answers—for the sake of truth, beauty, and practical applications—this book offers an eclectic panorama of the lives and values and hopes and fears of mathematicians in the twenty-first century, assembling material from a startlingly diverse assortment of scholarly, journalistic, and pop culture sources. Drawing on his personal experiences and obsessions as well as the thoughts and opinions of mathematicians from Archimedes and Omar Khayyám to such contemporary giants as Alexander Grothendieck and Robert Langlands, Michael Harris reveals the charisma and romance of mathematics as well as its darker side. In this portrait of mathematics as a community united around a set of common intellectual, ethical, and existential challenges, he touches on a wide variety of questions, such as: Are mathematicians to blame for the 2008 financial crisis? How can we talk about the ideas we were born too soon to understand? And how should you react if you are asked to explain number theory at a dinner party? Disarmingly candid, relentlessly intelligent, and richly entertaining, Mathematics without Apologies takes readers on an unapologetic guided tour of the mathematical life, from the philosophy and sociology of mathematics to its reflections in film and popular music, with detours through the mathematical and mystical traditions of Russia, India, medieval Islam, the Bronx, and beyond. |
| postmodern mathematics: Fashionable Nonsense Alan Sokal, Jean Bricmont, 2014-01-14 In 1996 physicist Alan Sokal published an essay in Social Text--an influential academic journal of cultural studies--touting the deep similarities between quantum gravitational theory and postmodern philosophy. Soon thereafter, the essay was revealed as a brilliant parody, a catalog of nonsense written in the cutting-edge but impenetrable lingo of postmodern theorists. The event sparked a furious debate in academic circles and made the headlines of newspapers in the U.S. and abroad. In Fashionable Nonsense: Postmodern Intellectuals' Abuse of Science, Sokal and his fellow physicist Jean Bricmont expand from where the hoax left off. In a delightfully witty and clear voice, the two thoughtfully and thoroughly dismantle the pseudo-scientific writings of some of the most fashionable French and American intellectuals. More generally, they challenge the widespread notion that scientific theories are mere narrations or social constructions. |
| postmodern mathematics: Post-Modern Algebra Jonathan D. H. Smith, Anna B. Romanowska, 1999-02-02 Advanced algebra in the service of contemporary mathematicalresearch-- a unique introduction. This volume takes an altogether new approach to advanced algebra.Its intriguing title, inspired by the term postmodernism, denotes adeparture from van der Waerden's Modern Algebra--a book that hasdominated the field for nearly seventy years. Post-Modern Algebraoffers a truly up-to-date alternative to the standard approach,explaining topics from an applications-based perspective ratherthan by abstract principles alone. The book broadens the field ofstudy to include algebraic structures and methods used in currentand emerging mathematical research, and describes the powerful yetsubtle techniques of universal algebra and category theory.Classical algebraic areas of groups, rings, fields, and vectorspaces are bolstered by such topics as ordered sets, monoids,monoid actions, quasigroups, loops, lattices, Boolean algebras,categories, and Heyting algebras. The text features: * A clear and concise treatment at an introductory level, tested inuniversity courses. * A wealth of exercises illustrating concepts and their practicalapplication. * Effective techniques for solving research problems in the realworld. * Flexibility of presentation, making it easy to tailor material tospecific needs. * Help with elementary proofs and algebraic notations for studentsof varying abilities. Post-Modern Algebra is an excellent primary or supplementary textfor graduate-level algebra courses. It is also an extremely usefulresource for professionals and researchers in many areas who musttackle abstract, linear, or universal algebra in the course oftheir work. |
| postmodern mathematics: Mind Tools Rudy Rucker, 2013-11-12 From mathematics and computers to insights into the workings of the human mind, this popular mathematics book reflects the intelligence gathered from the frontiers of mathematical thought. Illuminated by more than 100 drawings. 1987 edition. |
| postmodern mathematics: Mathematics and the Roots of Postmodern Thought Vladimir Tasic, 2001-08-06 This is a charming and insightful contribution to an understanding of the Science Wars between postmodernist humanism and science, driving toward a resolution of the mutual misunderstanding that has driven the controversy. It traces the root of postmodern theory to a debate on the foundations of mathematics early in the 20th century, then compares developments in mathematics to what took place in the arts and humanities, discussing issues as diverse as literary theory, arts, and artificial intelligence. This is a straightforward, easily understood presentation of what can be difficult theoretical concepts It demonstrates that a pattern of misreading mathematics can be seen both on the part of science and on the part of postmodern thinking. This is a humorous, playful yet deeply serious look at the intellectual foundations of mathematics for those in the humanities and the perfect critical introduction to the bases of modernism and postmodernism for those in the sciences. |
| postmodern mathematics: Postmodern Philosophy and the Scientific Turn Dorothea Olkowski, 2012-04-23 What can come of a scientific engagement with postmodern philosophy? Some scientists have claimed that the social sciences and humanities have nothing to contribute, except perhaps peripherally, to their research. Dorothea E. Olkowski shows that the historic link between science and philosophy, mathematics itself, plays a fundamental role in the development of the worldviews that drive both fields. Focusing on language, its expression of worldview and usage, she develops a phenomenological account of human thought and action to explicate the role of philosophy in the sciences. Olkowski proposes a model of phenomenology, both scientific and philosophical, that helps make sense of reality and composes an ethics for dealing with unpredictability in our world. |
| postmodern mathematics: The Philosophy of Mathematics Education Paul Ernest, Ole Skovsmose, Jean Paul van Bendegem, Maria Bicudo, Roger Miarka, Ladislav Kvasz, Regina Moeller, 2016-07-15 This survey provides a brief and selective overview of research in the philosophy of mathematics education. It asks what makes up the philosophy of mathematics education, what it means, what questions it asks and answers, and what is its overall importance and use? It provides overviews of critical mathematics education, and the most relevant modern movements in the philosophy of mathematics. A case study is provided of an emerging research tradition in one country. This is the Hermeneutic strand of research in the philosophy of mathematics education in Brazil. This illustrates one orientation towards research inquiry in the philosophy of mathematics education. It is part of a broader practice of ‘philosophical archaeology’: the uncovering of hidden assumptions and buried ideologies within the concepts and methods of research and practice in mathematics education. An extensive bibliography is also included. |
| postmodern mathematics: The Postmodern Turn Steven Seidman, 1994-11-25 The Postmodern Turn gathers together in one volume some of the most important statements of the postmodern approach to human studies. In addressing postmodern social theory and emphasising the social role of knowledge, this book abandons the disciplinary boundaries separating the sciences and the humanities. The first collection of its kind, it provides the classic essays of authors such as Lyotard, Haraway, Foucault and Rorty. Contributors include well-known theorists in the fields of sociology, anthropology, women's and gay studies, philosophy, and history. |
| postmodern mathematics: The Proceedings of the 12th International Congress on Mathematical Education Sung Je Cho, 2015-02-10 This book comprises the Proceedings of the 12th International Congress on Mathematical Education (ICME-12), which was held at COEX in Seoul, Korea, from July 8th to 15th, 2012. ICME-12 brought together 3500 experts from 92 countries, working to understand all of the intellectual and attitudinal challenges in the subject of mathematics education as a multidisciplinary research and practice. This work aims to serve as a platform for deeper, more sensitive and more collaborative involvement of all major contributors towards educational improvement and in research on the nature of teaching and learning in mathematics education. It introduces the major activities of ICME-12 which have successfully contributed to the sustainable development of mathematics education across the world. The program provides food for thought and inspiration for practice for everyone with an interest in mathematics education and makes an essential reference for teacher educators, curriculum developers and researchers in mathematics education. The work includes the texts of the four plenary lectures and three plenary panels and reports of three survey groups, five National presentations, the abstracts of fifty one Regular lectures, reports of thirty seven Topic Study Groups and seventeen Discussion Groups. |
| postmodern mathematics: Mathematics Education as a Research Domain: A Search for Identity Anna Sierpinska, Jeremy Kilpatrick, 2013-03-14 No one disputes how important it is, in today's world, to prepare students to un derstand mathematics as well as to use and communicate mathematics in their future lives. That task is very difficult, however. Refocusing curricula on funda mental concepts, producing new teaching materials, and designing teaching units based on 'mathematicians' common sense' (or on logic) have not resulted in a better understanding of mathematics by more students. The failure of such efforts has raised questions suggesting that what was missing at the outset of these proposals, designs, and productions was a more profound knowledge of the phenomena of learning and teaching mathematics in socially established and culturally, politically, and economically justified institutions - namely, schools. Such knowledge cannot be built by mere juxtaposition of theories in disci plines such as psychology, sociology, and mathematics. Psychological theories focus on the individual learner. Theories of sociology of education look at the general laws of curriculum development, the specifics of pedagogic discourse as opposed to scientific discourse in general, the different possible pedagogic rela tions between the teacher and the taught, and other general problems in the inter face between education and society. Mathematics, aside from its theoretical contents, can be looked at from historical and epistemological points of view, clarifying the genetic development of its concepts, methods, and theories. This view can shed some light on the meaning of mathematical concepts and on the difficulties students have in teaching approaches that disregard the genetic development of these concepts. |
| postmodern mathematics: Heterology and the Postmodern Julian Pefanis, 1991 In Heterology and the Postmodern, Julian Pefanis presents a new view of the history of poststructuralism (heterology) and the origins of postmodernism by analyzing three important French theorists, Georges Bataille, Jean Baudrillard, and Jean-François Lyotard. Beginning with the introduction of Hegel in French postmodernist thought--largely but not exclusively through the thought of Georges Bataille--Pefanis argues that the core problematics of postmodern aesthetics--history, exchange, representation, and writing--are related to Bataille's reconceptualization of the Hegelian framework. Pefanis explores how Bataille was influenced by Hegel, Marcel Mauss, Freud, and Nietzsche, and traces the effects of this influence on the analyses and critiques of later postmodernists, most notably Lyotard and Baudrillard. Finally, employing these postmodernists along with Freud and Jacques Lacan, Pefanis discusses discourse on postmodernism and its relation to Freud's concept of the death drive. This intellectual history makes valuable contributions to the debates over what the postmodern may mean for intellectual and political activity. |
| postmodern mathematics: The Routledge Companion to Postmodernism Stuart Sim, 2013-06-17 The Routledge Companion to Postmodernism combines a series of fourteen in-depth background chapters with a body of A-Z entries to create an authoritative yet readable guide to the complex world of postmodernism. |
| postmodern mathematics: The Princeton Companion to Mathematics Timothy Gowers, June Barrow-Green, Imre Leader, 2010-07-18 The ultimate mathematics reference book This is a one-of-a-kind reference for anyone with a serious interest in mathematics. Edited by Timothy Gowers, a recipient of the Fields Medal, it presents nearly two hundred entries—written especially for this book by some of the world's leading mathematicians—that introduce basic mathematical tools and vocabulary; trace the development of modern mathematics; explain essential terms and concepts; examine core ideas in major areas of mathematics; describe the achievements of scores of famous mathematicians; explore the impact of mathematics on other disciplines such as biology, finance, and music—and much, much more. Unparalleled in its depth of coverage, The Princeton Companion to Mathematics surveys the most active and exciting branches of pure mathematics. Accessible in style, this is an indispensable resource for undergraduate and graduate students in mathematics as well as for researchers and scholars seeking to understand areas outside their specialties. Features nearly 200 entries, organized thematically and written by an international team of distinguished contributors Presents major ideas and branches of pure mathematics in a clear, accessible style Defines and explains important mathematical concepts, methods, theorems, and open problems Introduces the language of mathematics and the goals of mathematical research Covers number theory, algebra, analysis, geometry, logic, probability, and more Traces the history and development of modern mathematics Profiles more than ninety-five mathematicians who influenced those working today Explores the influence of mathematics on other disciplines Includes bibliographies, cross-references, and a comprehensive index Contributors include: Graham Allan, Noga Alon, George Andrews, Tom Archibald, Sir Michael Atiyah, David Aubin, Joan Bagaria, Keith Ball, June Barrow-Green, Alan Beardon, David D. Ben-Zvi, Vitaly Bergelson, Nicholas Bingham, Béla Bollobás, Henk Bos, Bodil Branner, Martin R. Bridson, John P. Burgess, Kevin Buzzard, Peter J. Cameron, Jean-Luc Chabert, Eugenia Cheng, Clifford C. Cocks, Alain Connes, Leo Corry, Wolfgang Coy, Tony Crilly, Serafina Cuomo, Mihalis Dafermos, Partha Dasgupta, Ingrid Daubechies, Joseph W. Dauben, John W. Dawson Jr., Francois de Gandt, Persi Diaconis, Jordan S. Ellenberg, Lawrence C. Evans, Florence Fasanelli, Anita Burdman Feferman, Solomon Feferman, Charles Fefferman, Della Fenster, José Ferreirós, David Fisher, Terry Gannon, A. Gardiner, Charles C. Gillispie, Oded Goldreich, Catherine Goldstein, Fernando Q. Gouvêa, Timothy Gowers, Andrew Granville, Ivor Grattan-Guinness, Jeremy Gray, Ben Green, Ian Grojnowski, Niccolò Guicciardini, Michael Harris, Ulf Hashagen, Nigel Higson, Andrew Hodges, F. E. A. Johnson, Mark Joshi, Kiran S. Kedlaya, Frank Kelly, Sergiu Klainerman, Jon Kleinberg, Israel Kleiner, Jacek Klinowski, Eberhard Knobloch, János Kollár, T. W. Körner, Michael Krivelevich, Peter D. Lax, Imre Leader, Jean-François Le Gall, W. B. R. Lickorish, Martin W. Liebeck, Jesper Lützen, Des MacHale, Alan L. Mackay, Shahn Majid, Lech Maligranda, David Marker, Jean Mawhin, Barry Mazur, Dusa McDuff, Colin McLarty, Bojan Mohar, Peter M. Neumann, Catherine Nolan, James Norris, Brian Osserman, Richard S. Palais, Marco Panza, Karen Hunger Parshall, Gabriel P. Paternain, Jeanne Peiffer, Carl Pomerance, Helmut Pulte, Bruce Reed, Michael C. Reed, Adrian Rice, Eleanor Robson, Igor Rodnianski, John Roe, Mark Ronan, Edward Sandifer, Tilman Sauer, Norbert Schappacher, Andrzej Schinzel, Erhard Scholz, Reinhard Siegmund-Schultze, Gordon Slade, David J. Spiegelhalter, Jacqueline Stedall, Arild Stubhaug, Madhu Sudan, Terence Tao, Jamie Tappenden, C. H. Taubes, Rüdiger Thiele, Burt Totaro, Lloyd N. Trefethen, Dirk van Dalen, Richard Weber, Dominic Welsh, Avi Wigderson, Herbert Wilf, David Wilkins, B. Yandell, Eric Zaslow, and Doron Zeilberger |
| postmodern mathematics: The Postmodern Condition Jean-François Lyotard, 1984 In this book it explores science and technology, makes connections between these epistemic, cultural, and political trends, and develops profound insights into the nature of our postmodernity. |
| postmodern mathematics: Postmodern Analysis Jürgen Jost, 2005-08-01 What is the title of this book intended to signify, what connotations is the adjective “Postmodern” meant to carry? A potential reader will surely pose this question. To answer it, I should describe what distinguishes the - proach to analysis presented here from what has by its protagonists been called “Modern Analysis”. “Modern Analysis” as represented in the works of the Bourbaki group or in the textbooks by Jean Dieudonn ́ e is characterized by its systematic and axiomatic treatment and by its drive towards a high level of abstraction. Given the tendency of many prior treatises on analysis to degenerate into a collection of rather unconnected tricks to solve special problems, this de?nitely represented a healthy achievement. In any case, for the development of a consistent and powerful mathematical theory, it seems to be necessary to concentrate solely on the internal problems and structures and to neglect the relations to other ?elds of scienti?c, even of mathematical study for a certain while. Almost complete isolation may be required to reach the level of intellectual elegance and perfection that only a good mathem- ical theory can acquire. However, once this level has been reached, it can be useful to open one’s eyes again to the inspiration coming from concrete external problems. |
| postmodern mathematics: Postmodernism: A Bibliography, 1926-1994 Deborah L. Madsen, 2023-11-20 This is the first bibliography of Postmodernism to take account of work published in all subject areas and in all languages. Deborah Madsen has identified a new first occurrence of the term in 1926, preceding by more than twenty years the first occurence documented by the Oxford English Dictionary. In a chronological listing, books, articles, notes, letters and working papers on Postmodernism are described with full bibliographical details. Reviews of major books are documented and full contents listings are given for special issues of journals devoted to Postmodernism. An appendix includes books on Postmodernism announced for publication in 1995. This bibliography brings together in one place all secondary material published on Postmodernism. All disciplines are included, from anthropology to zoology: architecture, cultural studies, dance, drama, feminism, fiction, geography, history, legal studies, literary theory, mathematics, medicine, music, pedagogical theory, philosophy, photography and film, poetry, politics, religion, sociology, the visual and plastic arts, and others. The bibliography also documents items in a range of languages other than English: Chinese, French, German, Italian, Japanese, Russian, Slovanian, Spanish, and the Scandinavian languages. Access to the information contained in the bibliography is made easy with a comprehensive index providing guidance according to author, subject, language, and key words. Postmodernism: A Bibliography, 1926-1994 is an essential reference text for anyone working in the area of contemporary culture studies. |
| postmodern mathematics: Handbook of International Research in Mathematics Education Lyn D. English, David Kirshner, 2015-07-30 This third edition of the Handbook of International Research in Mathematics Education provides a comprehensive overview of the most recent theoretical and practical developments in the field of mathematics education. Authored by an array of internationally recognized scholars and edited by Lyn English and David Kirshner, this collection brings together overviews and advances in mathematics education research spanning established and emerging topics, diverse workplace and school environments, and globally representative research priorities. New perspectives are presented on a range of critical topics including embodied learning, the theory-practice divide, new developments in the early years, educating future mathematics education professors, problem solving in a 21st century curriculum, culture and mathematics learning, complex systems, critical analysis of design-based research, multimodal technologies, and e-textbooks. Comprised of 12 revised and 17 new chapters, this edition extends the Handbook’s original themes for international research in mathematics education and remains in the process a definitive resource for the field. |
| postmodern mathematics: The Abyss of Representation George Hartley, 2003-07-16 From the Copernican revolution of Immanuel Kant to the cognitive mapping of Fredric Jameson to the postcolonial politics of Gayatri Chakravorty Spivak, representation has been posed as both indispensable and impossible. In his pathbreaking work, The Abyss of Representation, George Hartley traces the development of this impossible necessity from its German Idealist roots through Marxist theories of postmodernism, arguing that in this period of skepticism and globalization we are still grappling with issues brought forth during the age of romanticism and revolution. Hartley shows how the modern problem of representation—the inability of a figure to do justice to its object—still haunts today's postmodern philosophy and politics. He reveals the ways the sublime abyss that opened up in Idealist epistemology and aesthetics resurfaces in recent theories of ideology and subjectivity. Hartley describes how modern theory from Kant through Lacan attempts to come to terms with the sublime limits of representation and how ideas developed with the Marxist tradition—such as Marx’s theory of value, Althusser’s theory of structural causality, or Zizek’s theory of ideological enjoyment—can be seen as variants of the sublime object. Representation, he argues, is ultimately a political problem. Whether that problem be a Marxist representation of global capitalism, a deconstructive representation of subaltern women, or a Chicano self-representation opposing Anglo-American images of Mexican Americans, it is only through this grappling with the negative, Hartley explains, that a Marxist theory of postmodernism can begin to address the challenges of global capitalism and resurgent imperialism. |
| postmodern mathematics: Postmodern Portfolio Theory James Ming Chen, 2016-07-26 This survey of portfolio theory, from its modern origins through more sophisticated, “postmodern” incarnations, evaluates portfolio risk according to the first four moments of any statistical distribution: mean, variance, skewness, and excess kurtosis. In pursuit of financial models that more accurately describe abnormal markets and investor psychology, this book bifurcates beta on either side of mean returns. It then evaluates this traditional risk measure according to its relative volatility and correlation components. After specifying a four-moment capital asset pricing model, this book devotes special attention to measures of market risk in global banking regulation. Despite the deficiencies of modern portfolio theory, contemporary finance continues to rest on mean-variance optimization and the two-moment capital asset pricing model. The term postmodern portfolio theory captures many of the advances in financial learning since the original articulation ofmodern portfolio theory. A comprehensive approach to financial risk management must address all aspects of portfolio theory, from the beautiful symmetries of modern portfolio theory to the disturbing behavioral insights and the vastly expanded mathematical arsenal of the postmodern critique. Mastery of postmodern portfolio theory’s quantitative tools and behavioral insights holds the key to the efficient frontier of risk management. |
| postmodern mathematics: Postmodern Metanarratives Décio Torres Cruz, 2014-07-29 Postmodern Metanarratives investigates the relationship between cinema and literature by analyzing the film Blade Runner as a postmodern work that constitutes a landmark of cyberpunk narrative and establishes a link between tradition and the (post)modern. |
| postmodern mathematics: Explaining Postmodernism Stephen Hicks, 2019-02 Tracing postmodernism from its roots in Jean-Jacques Rousseau and Immanuel Kant to their development in thinkers such as Michel Foucault and Richard Rorty, philosopher Stephen Hicks provides a provocative account of why postmodernism has been the most vigorous intellectual movement of the late 20th and early 21st centuries. Why do skeptical and relativistic arguments have such power in the contemporary intellectual world? Why do they have that power in the humanities but not in the sciences? Why has a significant portion of the political Left--the same Left that traditionally promoted reason, science, equality for all, and optimism--now switched to themes of anti-reason, anti-science, double standards, and cynicism? Explaining Postmodernism is intellectual history with a polemical twist, providing fresh insights into the debates underlying the furor over political correctness, multiculturalism, and the future of liberal democracy. |
| postmodern mathematics: Embracing Mathematics Peter Appelbaum, with David Scott Allen, 2008-06-30 This alternative textbook integrates pedagogy and content exploration in ways that are unique in mathematics education, provoking new ideas for making mathematics education meaningful to teachers at all levels as well as their students. |
| postmodern mathematics: Critical Issues in Mathematics Education Bharath Sriraman, Paul Ernest, Brian Greer, 2009-06-01 The word critical in the title of this collection has three meanings, all of which are relevant. One meaning, as applied to a situation or problem, is at a point of crisis. A second meaning is expressing adverse or disapproving comments or judgments. A third is related to the verb to critique, meaning to analyze the merits and faults of. The authors contributing to this book pose challenging questions, from multiple perspectives, about the roles of mathematics in society and the implications for education. Traditional reasons for teaching mathematics include: preparing a new generation of mathematics researchers and a cadre of technically competent users of mathematics; training students to think logically; and because mathematics is as much part of cultural heritage as literature or music. These reasons remain valid, though open to critique, but a deeper analysis is required that recognizes the roles of mathematics in framing many aspects of contemporary society, that will connect mathematics education to the lived experiences of students, their communities, and society in general, and that acknowledges the global ethical responsibilities of mathematicians and mathematics educators. The book is organized in four sections (1) Mathematics education: For what and why? (2) Globalization and cultural diversity, (3) Mathematics, education, and society and (4) Social justice in, and through, mathematics education The chapters address fundamental issues such as the relevance of school mathematics in people's lives; creating a sense of agency for the field of mathematics education, and redefining the relationship between mathematics as discipline, mathematics as school subject and mathematics as part of people's lives. |
| postmodern mathematics: Postmodern Analysis Jürgen Jost, 2005-12-11 What is the title of this book intended to signify, what connotations is the adjective “Postmodern” meant to carry? A potential reader will surely pose this question. To answer it, I should describe what distinguishes the - proach to analysis presented here from what has by its protagonists been called “Modern Analysis”. “Modern Analysis” as represented in the works of the Bourbaki group or in the textbooks by Jean Dieudonn ́ e is characterized by its systematic and axiomatic treatment and by its drive towards a high level of abstraction. Given the tendency of many prior treatises on analysis to degenerate into a collection of rather unconnected tricks to solve special problems, this de?nitely represented a healthy achievement. In any case, for the development of a consistent and powerful mathematical theory, it seems to be necessary to concentrate solely on the internal problems and structures and to neglect the relations to other ?elds of scienti?c, even of mathematical study for a certain while. Almost complete isolation may be required to reach the level of intellectual elegance and perfection that only a good mathem- ical theory can acquire. However, once this level has been reached, it can be useful to open one’s eyes again to the inspiration coming from concrete external problems. |
| postmodern mathematics: The Fractal Brain Theory Wai Tsang, 2016-08-02 The Fractal Brain Theory, or the Symmetry, Self Similarity and Recursivity Theory of Brain and Mind, is a Revolutionary new way of looking at the nature of intelligence and also genomics. It is the key to a powerful and new kind of Recursively Self Modifying Artificial Intelligence. Wai H. Tsang presents an exciting new synthesis of all things psychological, linguistic, neuroscientific, genomic, evolutionary, informatic, computational, complex and fractal. Dealing with the most central puzzles of mind science and AI, and weaving in some of the most fundamental concepts in mathematics such as symmetry, geometry, functions, discrete maths and formal axiomatic systems. This book presents nothing less than a seamless unified theory of Brain, Mind, Artificial Intelligence, Functional Genomics, Ontogenesis and Evolution. Also covering topics such as the quest for the Perfect & Universal Language, Recursively Self Modifying Algorithms, Super Intelligence & Technological Singularity. |
| postmodern mathematics: Mathematics Through the Eyes of Faith Russell Howell, James Bradley, Book description to come. |
| postmodern mathematics: MULTIMATHEMACY: Anthropology and Mathematics Education Rik Pinxten, 2015-12-16 This book defends that math education should systematically start out from the diverse out-of-school knowledge of children and develop trajectories from there to the Academic Mathematics tower of knowledge. Learning theories of the sociocultural school (Vygotsky and on) are used here, and ethnographic knowledge from around the world is shown to offer a rich and varied base for curricula. The book takes a political stand against the exclusively western focus in OECD analyses and proposals on math education. This book aims at agents in education and social actions in every cultural environment. But it is also attractive to mathematicians, anthropologists and other specialists. It offers a broad and scholarly view of knowledge and culture and a very original transcultural and transdisciplinarian approach to education. Ubiratan D'Ambrosio, UNICAMP/Universidade Estadual de Campinas, Brazil |
| postmodern mathematics: Post-Modern Algebra Jonathan D. H. Smith, Anna B. Romanowska, 2011-09-30 Advanced algebra in the service of contemporary mathematicalresearch-- a unique introduction. This volume takes an altogether new approach to advanced algebra.Its intriguing title, inspired by the term postmodernism, denotes adeparture from van der Waerden's Modern Algebra--a book that hasdominated the field for nearly seventy years. Post-Modern Algebraoffers a truly up-to-date alternative to the standard approach,explaining topics from an applications-based perspective ratherthan by abstract principles alone. The book broadens the field ofstudy to include algebraic structures and methods used in currentand emerging mathematical research, and describes the powerful yetsubtle techniques of universal algebra and category theory.Classical algebraic areas of groups, rings, fields, and vectorspaces are bolstered by such topics as ordered sets, monoids,monoid actions, quasigroups, loops, lattices, Boolean algebras,categories, and Heyting algebras. The text features: * A clear and concise treatment at an introductory level, tested inuniversity courses. * A wealth of exercises illustrating concepts and their practicalapplication. * Effective techniques for solving research problems in the realworld. * Flexibility of presentation, making it easy to tailor material tospecific needs. * Help with elementary proofs and algebraic notations for studentsof varying abilities. Post-Modern Algebra is an excellent primary or supplementary textfor graduate-level algebra courses. It is also an extremely usefulresource for professionals and researchers in many areas who musttackle abstract, linear, or universal algebra in the course oftheir work. |
| postmodern mathematics: Ethnomathematics and its Diverse Approaches for Mathematics Education Milton Rosa, Lawrence Shirley, Maria Elena Gavarrete, Wilfredo V. Alangui, 2017-07-25 This book addresses numerous issues related to ethnomathematics and diverse approaches to it in the context of mathematics education. To help readers better understand the development of ethnomathematics, it discusses its objectives and assumptions with regard to promoting an ethics of respect, solidarity, and cooperation across and for all cultures. In turn, the book addresses a range of aspects including pedagogical action, culturally relevant pedagogy, innovative approaches to ethnomathematics, and the role of ethnomathematics in mathematics education. Ethnomathematics offers educators a valuable framework for transforming mathematics so that it can more actively contribute to realizing the dream of a just and humane society. As such, its primary goal is to forge mathematics into a powerful tool to help people create a society characterized by dignity for all, and in which iniquity, arrogance, violence, and bigotry have no place. |
| postmodern mathematics: Early Postmodernism Paul A. Bové, 1995 In the decade that followed 1972, the journal boundary 2 consistently published many of the most distinguished and most influential statements of an emerging literary postmodernism. Recognizing postmodernism as a dominant force in culture, particularly in the literary and narrative imagination, the journal appeared when literary critical study in the United States was in a period of theory-induced ferment. The fundamental relations between postmodernism and poststructuralism were being initially examined and the effort to formulate a critical sense of the postmodern was underway. In this volume, Paul A. Bové, the current editor of boundary 2, has gathered many of those foundational essays and, as such, has assembled a basic text in the history of postmodernism. Essays by noted cultural and literary theorists join with Bové's contemporary preface to represent the important and unique moment in recent intellectual history when postmodernism was no longer seen primarily as an architectural term, had not yet come to describe the wide range of culture it does now, but was finding power and place in the literary realm. These essays show that the history of postmodernism and its attendant critical theories are both more complex and more deeply bound with literary criticism than often is acknowledged today. Early Postmodernism demonstrates not only the significance of these literary studies, but also the role played by literary critical postmodernism in making possible newer forms of critical and cultural studies. Contributors. Barry Alpert, Charles Altieri, David Antin, Harold Bloom, Paul A. Bové, Hélène Cixous, Gerald Gillespie, Ihab Hassan, Joseph N. Riddel, William, V. Spanos, Catharine R. Stimpson, Cornel West |
| postmodern mathematics: Curriculum Studies in China W. Pinar, 2014-08-06 Scholars from three continents collaborate to create a truly global understanding of curriculum in the world's most populous country. This book discusses major topics in curriculum studies in China and shows how Chinese scholars understand their field's history, circumstances, and place in a globalized world. |
| postmodern mathematics: Postmodern Studies , 2006 |
| postmodern mathematics: A House Built on Sand Noretta Koertge, 1998-08-27 Cultural critics say that science is politics by other means, arguing that the results of scientific inquiry are profoundly shaped by the ideological agendas of powerful elites. They base their claims on historical case studies purporting to show the systematic intrusion of sexist, racist, capitalist, colonialist and/or professional interests into the very content of science. Physicist Alan Sokal recently poked fun at these claims by foisting a sly parody of the genre on the unwitting editors of the cultural studies journal Social Text touching off a still unabated torrent of editorials, articles, and heated classroom and Internet discussion. This hard-hitting collection picks up where Sokal left off. The essayists offer crisp and detailed critiques of case studies offered by the cultural critics as evidence that scientific results tell us more about social context than they do about the natural world. Pulling no punches, they identify numerous crude factual blunders (e.g. that Newton never performed any experiments) and egregious errors of emission, such as the attempt to explain the slow development of fluid dynamics solely in terms of gender bias. Where there are positive aspects of a flawed account, or something to be learned from it, they do not hesitate to say so. Their target is shoddy scholarship. Comprising new essays by distinguished scholars of history, philosophy, and science (including Sokal himself), this book raises a lively debate to a new level of seriousness. |
Postmodernism - Wikipedia
Postmodernism encompasses a variety of artistic, cultural, and philosophical movements that claim to mark a break from modernism. They have in common the conviction that it is no longer possible to rely upon previous …
Postmodernism | Definition, Doctrines, & Facts | Britannica
Apr 21, 2025 · Postmodernism is a late 20th-century movement in philosophy and literary theory that generally questions the basic assumptions of Western philosophy in the modern period (roughly, the 17th century …
Postmodernism - Stanford Encyclopedia of Philosophy
Sep 30, 2005 · In the postmodern sense, such activities involve sharing or participating in differences that have opened between the old and the new, the natural and the artificial, or even between life and death. The leading …
Postmodern philosophy - Wikipedia
Postmodern philosophy is a philosophical movement that arose in the second half of the 20th century as a critical response to assumptions allegedly present in modernist philosophical ideas regarding culture, …
POSTMODERN Definition & Meaning - Merriam-Webster
The meaning of POSTMODERN is of, relating to, or being an era after a modern one. How to use postmodern in a sentence.
Postmodernism - Wikipedia
Postmodernism encompasses a variety of artistic, cultural, and philosophical movements that claim to mark a break from modernism. They have in common the conviction that it is no longer …
Postmodernism | Definition, Doctrines, & Facts | Britannica
Apr 21, 2025 · Postmodernism is a late 20th-century movement in philosophy and literary theory that generally questions the basic assumptions of Western philosophy in the modern period …
Postmodernism - Stanford Encyclopedia of Philosophy
Sep 30, 2005 · In the postmodern sense, such activities involve sharing or participating in differences that have opened between the old and the new, the natural and the artificial, or …
Postmodern philosophy - Wikipedia
Postmodern philosophy is a philosophical movement that arose in the second half of the 20th century as a critical response to assumptions allegedly present in modernist philosophical …
POSTMODERN Definition & Meaning - Merriam-Webster
The meaning of POSTMODERN is of, relating to, or being an era after a modern one. How to use postmodern in a sentence.
What is Postmodernism? – Introduction to Philosophy
What we call “Postmodern” is simply what happens after the historical period called “Modern.” In the historical development of Western philosophy, we can see various major transitions. What …
Explainer: what is postmodernism? - The Conversation
Jan 2, 2014 · Postmodernism is best understood as a questioning of the ideas and values associated with a form of modernism that believes in progress and innovation. Modernism …
Postmodernism - Internet Encyclopedia of Philosophy
Postmodernism is a style of doing philosophy that is often distinguished from the analytic style. The Postmodern era is the time period when postmodernism was popular, especially in …
Postmodernism: what it is, criticism and characteristics
Postmodernism rejects the idea of an unmediated, objective reality independent of the human being, which it dismisses as naive realism. It is characterized by skepticism or rejection of the …
Postmodernism in Sociology: Characteristics, & Examples - Simply Psychology
In sociology, postmodernism is a perspective that emphasizes the social construction of reality, the role of language and discourse in shaping knowledge, and the fragmentation of identities in …
