The Mathematical Imagination

Author: Matthew Handelman

Publisher: Fordham Univ Press

ISBN: 9780823283842

Category: Philosophy

Page: 256

View: 315

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.
Mathematics and the Imagination

Author: Edward Kasner

Publisher: Courier Corporation

ISBN: 9780486320274

Category: Mathematics

Page: 400

View: 532

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.
The Mathematical Imagination

Author: Matthew Handelman

Publisher: Fordham Univ Press

ISBN: 9780823283859

Category: Philosophy

Page: 256

View: 607

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.
Image, Imagination, and Cognition

Author:

Publisher: BRILL

ISBN: 9789004365742

Category: History

Page: 339

View: 161

Multiple accounts of how theories of human psychology and of image-making influenced each other in a decisive period in the history of philosophy and art.
Imagination and Art: Explorations in Contemporary Theory

Author: Keith Moser

Publisher: BRILL

ISBN: 9789004436350

Category: Philosophy

Page: 810

View: 181

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.
Teaching 360°: Effective Learning Through the Imagination

Author:

Publisher: BRILL

ISBN: 9789087903787

Category: Education

Page: 156

View: 981

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.
The Hypocritical Imagination

Author: John Llewellyn

Publisher: Routledge

ISBN: 9781134613106

Category: Philosophy

Page: 288

View: 799

For philosophers such as Kant, the imagination is the starting point for all thought. For others, such as Wittgenstein, what is important is only how the word 'imagination' is used. In spite of the attention the imagination has received from major philosophers, remarkably little has been written about the radically different interpretations they have made of it. The HypoCritical Imagination: Between Kant and Levinas is an outstanding contribution to this vaccuum. Focusing on Kant and Levinas, John Llewelyn takes us on a dazzling tour of the philosophical imagination. He shows us that despite the different treatments they accord to the imagination, there is much to be gained from comparing these two key thinkers. From Kant, Llewelyn shows how the imagination is the common root of all understanding. He contrasts this with the thought of Emmanuel Levinas, for whom the imagination plays an ambivalent role both as necessary for and a threat to recognition of the other. John Llewelyn also introduces the importance of the work of Heidegger Schelling, Hegel, Arendt and Derrida on the imagination and what this work can tell us about the relationship between the imagination and ethics, aesthetics and literature. The HypoCritical Imagination: Between Kant and Levinas is a brilliant reading of a neglected but important philosophical theme and is essential reading for those in contemporary philosophy, art theory and literature.
Descartes's Imagination

Author: Dennis L. Sepper

Publisher: Univ of California Press

ISBN: 0520200500

Category: Philosophy

Page: 344

View: 526

"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
The World of the Imagination

Author: Eva T. H. Brann

Publisher: Rowman & Littlefield

ISBN: 9781442273641

Category: Philosophy

Page: 843

View: 537

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.