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Author: Russell W. Howell
Publisher: Eerdmans Publishing Company
ISBN: 9780802849106
Category : Mathematics
Languages : en
Pages : 399
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Book Description
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
Author: Russell W. Howell
Publisher: Eerdmans Publishing Company
ISBN: 9780802849106
Category : Mathematics
Languages : en
Pages : 399
Get Book Here
Book Description
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
Author: Vladimir Tasic
Publisher: Oxford University Press
ISBN: 0199881510
Category : Mathematics
Languages : en
Pages : 200
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Book Description
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.
Author: Margaret Walshaw
Publisher: IAP
ISBN: 1607529114
Category : Mathematics
Languages : en
Pages : 266
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Book Description
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.
Author: Russell Howell
Publisher: Harper Collins
ISBN: 0062094912
Category : Religion
Languages : en
Pages : 290
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Book Description
Book description to come.
Author: Floyd Merrell
Publisher: Purdue University Press
ISBN: 9781557530554
Category : Literary Collections
Languages : en
Pages : 396
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Book Description
"Who are we to suppose we are capable of comprehending the world of which we are a part, and what is the world to suppose it can be understood by us, minuscule and insignificant spatiotemporal warps contained within it?" This provocative question opens Floyd Merrell's study of postmodernism and the thought of Charles Sanders Peirce, part of the author's ongoing effort to understand our contemporary cultural and intellectual environment. The specific focus in this interdisciplinary study is the modernism/postmodernism dichotomy and Peirce's precocious realization that the world does not lend itself to the simplistic binarism of modernist thought. In Merrell's examination of postmodern phenomena, the reader is taken through various facets of the cognitive sciences, philosophy of science, mathematics, and literary theory. Merrell's consideration of Peirce's complex and inadequately understood concept of the sign is enhanced through numerous charts and figures. Theories, hypotheses, and speculation in the physical sciences are then brought to bear on Peircean semiotics. The final chapter critiques the often undiscriminating acceptance of postmodern practices in today's academic world.
Author: Richard C. Brown
Publisher: World Scientific
ISBN: 9812835253
Category : Mathematics
Languages : en
Pages : 336
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Book Description
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.
Author: Michael Harris
Publisher: Princeton University Press
ISBN: 0691175837
Category : Mathematics
Languages : en
Pages : 468
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Book Description
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.
Author: Jonathan D. H. Smith
Publisher: John Wiley & Sons
ISBN: 1118030834
Category : Mathematics
Languages : en
Pages : 386
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Book Description
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.
Author: J. Richard Middleton
Publisher: InterVarsity Press
ISBN: 9780830818563
Category : Religion
Languages : en
Pages : 256
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Book Description
J. Richard Middleton and Brian J. Walsh offer an introduction, evaluation and response to postmodern culture that comes straight from the heart of the gospel.
Author: Jürgen Jost
Publisher: Springer Science & Business Media
ISBN: 3662036355
Category : Mathematics
Languages : en
Pages : 350
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Book Description
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.
