Download or read book Mathematics and the Imagination written by Edward Kasner and published by Courier Corporation. This book was released on 2013-04-22 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: With wit and clarity, the authors progress from simple arithmetic to calculus and non-Euclidean geometry. Their subjects: geometry, plane and fancy; puzzles that made mathematical history; tantalizing paradoxes; more. Includes 169 figures.
Download or read book Poetic Logic and the Origins of the Mathematical Imagination written by Marcel Danesi and published by Springer Nature. This book was released on 2023-09-02 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book treats eighteenth-century Italian philosopher Giambattista Vico’s theory of poetic logic for the first time as the originating force in mathematics, transforming instinctive counting and spatial perception into poetic (metaphorical) symbolism that dovetails with the origin of language. It looks at current work on mathematical cognition (from Lakoff and Núñez to Butterworth, Dehaene, and beyond), matching it against the poetic logic paradigm. In a sense, it continues from where Kasner and Newman left off, connecting contemporary research on the mathematical mind to the idea that the products of early mathematics were virtually identical to the first forms of poetic language. As such, this book informs the current research on mathematical cognition from a different angle, by looking back at a still relatively unknown philosopher within mathematics. The aim of this volume is to look broadly at what constitutes the mathematical mind through the Vichian lens of poetic logic. Vico was among the first to suggest that the essential nature of mind could be unraveled indirectly by reconstructing the sources of its “modifications” (his term for “creations”); that is, by examining the creation and function of symbols, words, and all the other uniquely human artifacts—including mathematics—the mind has allowed humans to establish “the world of civil society,” Vico’s term for culture and civilization. The book is of interest to cognitive scientists working on math cognition. It presents the theory of poetic logic as Vico articulated it in his book The New Science, examining its main premises and then applying it to an interpretation of the ongoing work in math cognition. It will also be of interest to the general public, since it presents a history of early mathematics through the lens of an idea that has borne fruit in understanding the origin of language and symbols more broadly.
Download or read book The Mathematical Imagination written by Matthew Handelman and published by Fordham Univ Press. This book was released on 2019-03-05 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an archeology of the undeveloped potential of mathematics for critical theory. As Max Horkheimer and Theodor W. Adorno first conceived of the critical project in the 1930s, critical theory steadfastly opposed the mathematization of thought. Mathematics flattened thought into a dangerous positivism that led reason to the barbarism of World War II. The Mathematical Imagination challenges this narrative, showing how for other German-Jewish thinkers, such as Gershom Scholem, Franz Rosenzweig, and Siegfried Kracauer, mathematics offered metaphors to negotiate the crises of modernity during the Weimar Republic. Influential theories of poetry, messianism, and cultural critique, Handelman shows, borrowed from the philosophy of mathematics, infinitesimal calculus, and geometry in order to refashion cultural and aesthetic discourse. Drawn to the austerity and muteness of mathematics, these friends and forerunners of the Frankfurt School found in mathematical approaches to negativity strategies to capture the marginalized experiences and perspectives of Jews in Germany. Their vocabulary, in which theory could be both mathematical and critical, is missing from the intellectual history of critical theory, whether in the work of second generation critical theorists such as Jürgen Habermas or in contemporary critiques of technology. The Mathematical Imagination shows how Scholem, Rosenzweig, and Kracauer’s engagement with mathematics uncovers a more capacious vision of the critical project, one with tools that can help us intervene in our digital and increasingly mathematical present. The Mathematical Imagination is available from the publisher on an open-access basis.
Download or read book Understanding Imagination written by Dennis L Sepper and published by Springer Science & Business Media. This book was released on 2013-05-13 with total page 845 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses that imagination is as important to thinking and reasoning as it is to making and acting. By reexamining our philosophical and psychological heritage, it traces a framework, a conceptual topology, that underlies the most disparate theories: a framework that presents imagination as founded in the placement of appearances. It shows how this framework was progressively developed by thinkers like Plato, Aristotle, Descartes, and Kant, and how it is reflected in more recent developments in theorists as different as Peirce, Saussure, Wittgenstein, Benjamin, and Bachelard. The conceptual topology of imagination incorporates logic, mathematics, and science as well as production, play, and art. Recognizing this topology can move us past the confusions to a unifying view of imagination for the future.
Download or read book The Mathematics Teacher written by and published by . This book was released on 1922 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Imagination in Education written by Sean Blenkinsop and published by Cambridge Scholars Publishing. This book was released on 2009-01-14 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of essays from scholars in eleven countries, centres upon the theory and practice of the use of imagination in education. By bringing together studies covering a wide range of subject matter we trust that the reader will have the opportunity to appreciate both the diversity within the field and the significance of the topics discussed. We hope too that readers will find connections to their own areas of study. The 13 essays present distinct yet converging points of view, whether it be a discussion of the imagination as a virtue, the use of imagination as a means to improve aboriginal education in Northern Canada, or the description of a museum in Brazil in which the imagination of the child is central to the project. Separately, each of the papers identifies and explores a distinct aspect of Imaginative Education; together, they begin to define the breadth and richness of the field. These essays have been selected from papers presented over a period of several years to research symposiums in imagination and education held every summer in Vancouver, Canada under the auspices of the Imaginative Education Research Group in the Faculty of Education at Simon Fraser University.
Download or read book Descartes s Imagination written by Dennis L. Sepper and published by Univ of California Press. This book was released on 1996-01-01 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A work of major importance for the interpretation of Descartes's development and for the understanding of the function of the imagination in Descartes's early works. Descartes's Imagination will be a must in Descartes and imagination studies. It is long overdue."--Eva T. H. Brann, author of The World of Imagination: Sum and Substance "A significant contribution to our understanding of the development of Descartes's philosophy."--William R. Shea, author of The Magic of Numbers and Motion: The Scientific Career of Rene Descartes
Download or read book The World of the Imagination written by Eva T. H. Brann and published by Rowman & Littlefield. This book was released on 2016-11-28 with total page 843 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, Eva Brann sets out no less a task than to assess the meaning of imagination in its multifarious expressions throughout western history. The result is one of those rare achievements that will make The World of the Imagination a standard reference.
Download or read book Image Imagination and Cognition written by and published by BRILL. This book was released on 2018-07-03 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: How were the relations among image, imagination and cognition characterized in the period 1500 – 1800? The authors of this volume argue that in those three centuries, a thoroughgoing transformation affected the following issues: (i) what it meant to understand phenomena in the natural world (cognition); (ii) how such phenomena were visualized or pictured (images, including novel types of diagrams, structural models, maps, etc.); and (iii) what role was attributed to the faculty of the imagination (psychology, creativity). The essays collected in this volume examine the new conceptions that were advanced and the novel ways of comprehending and expressing the relations among image, imagination, and cognition. They also shed light, from a variety of perspectives, on the elusive nexus of conceptions and practices.
Download or read book Pedagogies of the Imagination written by Timothy Leonard and published by Springer Science & Business Media. This book was released on 2008-06-11 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: I have long admired the mythopoetic tradition in curriculum studies. That admiration followed from my experience as a high-school teacher of English in a wealthy suburb of New York City at the end of the 1960s. A “dream” job—I taught four classes of 15–20 students during a nine-period day—in a “dream” suburb (where I could afford to reside only by taking a room in a retired teacher’s house), many of these often Ivy-League-bound students had everything but meaningful lives. This middle-class, Midwestern young teacher was flabbergasted. In one sense, my academic life has been devoted to understanding that searing experience. Matters of meaning seemed paramount in the curriculum field to which Paul Klohr introduced me at Ohio State. Klohr assigned me the work of curriculum theorists such as James B. Macdonald. Like Timothy Leonard (who also studied with Klohr at Ohio State) and Peter Willis, Macdonald (1995) understood that school reform was part of a broader cultural and political crisis in which meaning is but one casualty. In the mythopoetic tradition in curriculum studies, scholars labor to understand this crisis and the conditions for the reconstruction of me- ing in our time, in our schools.
Download or read book Teaching 360 Effective Learning Through the Imagination written by and published by BRILL. This book was released on 2008-01-01 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a detailed examination of imagination in learning. Teachers working with the ideas of Imaginative Education in their classrooms provide examples that cover multiple curricular areas and span elementary through secondary school contexts.
Download or read book Diagrams Visual Imagination and Continuity in Peirce s Philosophy of Mathematics written by Vitaly Kiryushchenko and published by Springer Nature. This book was released on 2023-05-12 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about the relationship between necessary reasoning and visual experience in Charles S. Peirce’s mathematical philosophy. It presents mathematics as a science that presupposes a special imaginative connection between our responsiveness to reasons and our most fundamental perceptual intuitions about space and time. Central to this view on the nature of mathematics is Peirce’s idea of diagrammatic reasoning. In practicing this kind of reasoning, one treats diagrams not simply as external auxiliary tools, but rather as immediate visualizations of the very process of the reasoning itself. Thus conceived, one's capacity to diagram their thought reveals a set of characteristics common to ordinary language, visual perception, and necessary mathematical reasoning. The book offers an original synthetic approach that allows tracing the roots of Peirce’s conception of a diagram in certain patterns of interrelation between his semiotics, his pragmaticist philosophy, his logical and mathematical ideas, bits and pieces of his biography, his personal intellectual predispositions, and his scientific practice as an applied mathematician.
Download or read book The Source of Dreams When Human Imagination Died written by Jack Tanner and published by Magus Books. This book was released on with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is the Source of Dreams? Where is it? In ancient times, humanity had the most enchanting ideas about dreams. That enchantment is gone. The human imagination is dying. It's time to revive it. Come with us to the magic lands where you can once again revel in the sheer power of imagination and creativity.
Download or read book Educated Imagination and Other Writings on Critical Theory 1933 1962 written by Northrop Frye and published by University of Toronto Press. This book was released on 2006-01-01 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1933, Northrop Frye was a recent university graduate, beginning to learn his craft as a literary essayist. By 1963, with the publication of The Educated Imagination, he had become an international academic celebrity. In the intervening three decades, Frye wrote widely and prodigiously, but it is in the papers and lectures collected in this installment of the Collected Works of Northrop Frye, that the genesis of a distinguished literary critic can be seen. Here is Frye tracing the first outlines of a literary cosmology that would culminate in The Anatomy of Criticism (1958) and shapeThe Great Code (1982) and Words with Power (1990). At the same time that Frye garnered such international acclaim, he was also a working university teacher, lecturing in the University of Toronto's English Language and Literature program. In her lively introduction, Germaine Warkentin links Frye's evolution as a critic with his love of music, his passionate concern for his students, and his growing professional ambition. The writings included in this volume show how Frye integrated ideas into the work that would consolidate the fame that Fearful Symmetry (1947) had first established.
Download or read book Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century written by Paolo Mancosu and published by Oxford University Press, USA. This book was released on 1996 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes bibliographical references and index.
Download or read book Imagination and Art Explorations in Contemporary Theory written by Keith Moser and published by BRILL. This book was released on 2020-07-27 with total page 810 pages. Available in PDF, EPUB and Kindle. Book excerpt: This transdisciplinary project represents the most comprehensive study of imagination to date. The eclectic group of international scholars who comprise Imagination and Art propose bold and innovative theoretical frameworks for (re-) conceptualizing imagination in all of its divergent forms.
Download or read book Mathematics and Its Applications to Science and Natural Philosophy in the Middle Ages written by Edward Grant and published by Cambridge University Press. This book was released on 1987-08 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Eleven distinguished historians of science explore natural philosophy and mathematics in the Middle Ages.
