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 287 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 Mathematics and the Imagination written by Edward Kasner and published by . This book was released on 1979 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Mathematical Imagining written by Christof Weber and published by Routledge. This book was released on 2020 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: "In Mathematical Imagining, the author makes the case that the ability to imagine, manipulate, and explain mathematical images and situations is fundamental to all mathematics and particularly important to higher level study. Most importantly, drawing on years of experiments in his own classroom, he shows that mathematical imagining is a skill that can be taught efficiently and effectively in secondary mathematics"--
Download or read book An Invitation to Critical Mathematics Education written by Ole Skovsmose and published by Springer Science & Business Media. This book was released on 2012-01-01 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Invitation to Critical Mathematics Education deals with a range of crucial topics. Among these are students’ foreground, landscapes of investigation, and mathematics in action. The book is intended for a broad audience: educators, students, teachers, policy makers, anybody interested in the further development of mathematics education. The book discusses concerns and preoccupation. This way it provides an invitation into critical mathematics education.
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 Imagination and Experience written by Íngrid Vendrell Ferran and published by Taylor & Francis. This book was released on 2024-07-16 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume brings together two philosophical research areas that have been subject to increased attention: work regarding the unique character of having an experience and studies on the nature and powers of imagination. The importance of imagination seems to stand in tension with the assumed unique and irreplaceable role of experience in our lives. However, new arguments in various philosophical debates suggest that there is a need to examine how both areas of research interrelate and can enrich one another. The chapters in this volume examine whether the traditional accounts of experience and imagination need to be challenged. They are divided into thematic sections that discuss epistemological, ontological, normative, phenomenological, and intersubjective questions related to experience and imagination. Imagination and Experience is an essential resource for scholars and advanced students working in philosophy of mind, epistemology, ethics, aesthetics, and philosophy of psychology.
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 Mathematics and the Imagination written by Edward Kasner and published by . This book was released on 1949 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 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 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 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 Imagination and the Arts in C S Lewis written by Peter J. Schakel and published by University of Missouri Press. This book was released on 2011 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: Imagination has long been regarded as central to C. S. Lewis's life and to his creative and critical works, but this is the first study to provide a thorough analysis of his theory of imagination, including the different ways he used the word and how those uses relate to each other. Peter Schakel begins by concentrating on the way reading or engaging with the other arts is an imaginative activity. He focuses on three books in which imagination is the central theme--Surprised by Joy, An Experiment in Criticism, and The Discarded Image--and shows the important role of imagination in Lewis's theory of education. He then examines imagination and reading in Lewis's fiction, concentrating specifically on the Chronicles of Narnia, the most imaginative of his works. He looks at how the imaginative experience of reading the Chronicles is affected by the physical texture of the books, the illustrations, revisions of the texts, the order in which the books are read, and their narrative "voice," the "storyteller" who becomes almost a character in the stories. Imagination and the Arts in C. S. Lewis also explores Lewis's ideas about imagination in the nonliterary arts. Although Lewis regarded engagement with the arts as essential to a well- rounded and satisfying life, critics of his work and even biographers have given little attention to this aspect of his life. Schakel reviews the place of music, dance, art, and architecture in Lewis's life, the ways in which he uses them as content in his poems and stories, and how he develops some of the deepest, most significant themes of his stories through them. Schakel concludes by analyzing the uses and abuses of imagination. He looks first at "moral imagination." Although Lewis did not use this term, Schakel shows how Lewis developed the concept in That Hideous Strength and The Abolition of Man long before it became popularized in the 1980s and 1990s. While readers often concentrate on the Christian dimension of Lewis's works, equally or more important to him was their moral dimension. Imagination and the Arts in C. S. Lewis will appeal to students and teachers of both children's literature and twentieth-century British writers. It will also be of value to readers who wish to compare Lewis's creations with more recent imaginative works such as the Harry Potter series.
Download or read book The Romantic Imagination written by Frederick Burwick and published by Rodopi. This book was released on 1996 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Arbitrary Reference in Logic and Mathematics written by Massimiliano Carrara and published by Springer Nature. This book was released on with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt:
