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Author: Angus Fletcher
Publisher: Harvard University Press
ISBN: 0674968867
Category : Philosophy
Languages : en
Pages : 327
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Book Description
Boldly original and boundary defining, The Topological Imagination clears a space for an intellectual encounter with the shape of human imagining. Joining two commonly opposed domains, literature and mathematics, Angus Fletcher maps the imagination’s ever-ramifying contours and dimensions, and along the way compels us to re-envision our human existence on the most unusual sphere ever imagined, Earth. Words and numbers are the twin powers that create value in our world. Poetry and other forms of creative literature stretch our ability to evaluate through the use of metaphors. In this sense, the literary imagination aligns with topology, the branch of mathematics that studies shape and space. Topology grasps the quality of geometries rather than their quantifiable measurements. It envisions how shapes can be bent, twisted, or stretched without losing contact with their original forms—one of the discoveries of the eighteenth-century mathematician Leonhard Euler, whose Polyhedron Theorem demonstrated how shapes preserve “permanence in change,” like an aging though familiar face. The mysterious dimensionality of our existence, Fletcher says, is connected to our inhabiting a world that also inhabits us. Theories of cyclical history reflect circulatory biological patterns; the day-night cycle shapes our adaptive, emergent patterns of thought; the topology of islands shapes the evolution of evolutionary theory. Connecting literature, philosophy, mathematics, and science, The Topological Imagination is an urgent and transformative work, and a profound invitation to thought.
Author: Angus Fletcher
Publisher: Harvard University Press
ISBN: 0674968867
Category : Philosophy
Languages : en
Pages : 327
Get Book Here
Book Description
Boldly original and boundary defining, The Topological Imagination clears a space for an intellectual encounter with the shape of human imagining. Joining two commonly opposed domains, literature and mathematics, Angus Fletcher maps the imagination’s ever-ramifying contours and dimensions, and along the way compels us to re-envision our human existence on the most unusual sphere ever imagined, Earth. Words and numbers are the twin powers that create value in our world. Poetry and other forms of creative literature stretch our ability to evaluate through the use of metaphors. In this sense, the literary imagination aligns with topology, the branch of mathematics that studies shape and space. Topology grasps the quality of geometries rather than their quantifiable measurements. It envisions how shapes can be bent, twisted, or stretched without losing contact with their original forms—one of the discoveries of the eighteenth-century mathematician Leonhard Euler, whose Polyhedron Theorem demonstrated how shapes preserve “permanence in change,” like an aging though familiar face. The mysterious dimensionality of our existence, Fletcher says, is connected to our inhabiting a world that also inhabits us. Theories of cyclical history reflect circulatory biological patterns; the day-night cycle shapes our adaptive, emergent patterns of thought; the topology of islands shapes the evolution of evolutionary theory. Connecting literature, philosophy, mathematics, and science, The Topological Imagination is an urgent and transformative work, and a profound invitation to thought.
Author: Dennis L Sepper
Publisher: Springer Science & Business Media
ISBN: 940076507X
Category : Science
Languages : en
Pages : 845
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Book Description
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.
Author: Angus Fletcher
Publisher: Harvard University Press
ISBN: 0674027116
Category : Literary Criticism
Languages : en
Pages : 188
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Book Description
This focused but far-reaching work by the distinguished scholar Angus Fletcher reveals how early modern science and English poetry were in many ways components of one process: discovering the secrets of motion. Beginning with the achievement of Galileo, Time, Space, and Motion identifies the problem of motion as the central cultural issue of the time, pursued through the poetry of the age, from Marlowe and Shakespeare to Ben Jonson and Milton.
Author: Angus FLETCHER
Publisher: Harvard University Press
ISBN: 0674037014
Category : Poetry
Languages : en
Pages : 331
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Book Description
Intense, resonant, and deeply literary, this account of an American poetics shows how today's consumerist and conformist culture subverts the imagination of a free people. Poetry, the author maintains, is central to any coherent vision of life.
Author: Brett Bourbon
Publisher: Harvard University Press
ISBN: 0674028597
Category : Philosophy
Languages : en
Pages : 290
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Book Description
Approaching the study of literature as a unique form of the philosophy of language and mind--as a study of how we produce nonsense and imagine it as sense--this is a book about our human ways of making and losing meaning. Brett Bourbon asserts that our complex and variable relation with language defines a domain of meaning and being that is misconstrued and missed in philosophy, in literary studies, and in our ordinary understanding of what we are and how things make sense. Accordingly, his book seeks to demonstrate how the study of literature gives us the means to understand this relationship. The book itself is framed by the literary and philosophical challenges presented by Joyce's Finnegan's Wake and Wittgenstein's Philosophical Investigations. With reference to these books and the problems of interpretation and meaning that they pose, Bourbon makes a case for the fundamental philosophical character of the study of literature, and for its dependence on theories of meaning disguised as theories of mind. Within this context, he provides original accounts of what sentences, fictions, non-fictions, and poems are; produces a new account of the logical form of fiction and of the limits of interpretation that follow from it; and delineates a new and fruitful domain of inquiry in which literature, philosophy, and science intersect. Table of Contents: Preface Note on Abbreviations Introduction: What Are We When We Are Not? Part I The Surface of Language and the Absence of Meaning 1. From Soul-Making to Person-Making 2. The Logical Form of Fiction 3. The Emptiness of Literary Interpretation 4. To Be But Not To Mean 5. How Do Oracles Mean? Part II Senses and Nonsenses: Joyce's Finnegans Wake and Wittgenstein's Philosophical Investigations 6. A Twitterlitter of Nonsense: Askesis at Finnegans Wake 7. The Analogy between Persons and Words 8. "The Human Body Is the Best Picture of the Human Soul" 9. The Senses of Time 10. Being Something and Meaning Something Bibliography Acknowledgments Index This is an adventurous and unusual book. Bourbon moves back and forth between literary and philosophical contexts with ease, showing in multifarious ways how the one can, often in unexpected ways, illuminate the other. Throughout these wide-ranging explorations Bourbon uncovers a good deal about both the nature of literary meaning and our distinctive -- if tellingly irreducible -- relations to literary texts. --Garry L. Hagberg, author of Art as Language: Wittgenstein, Meaning, and Aesthetic Theory and Meaning and Interpretation: Wittgenstein, Henry James, and Literary Knowledge
Author: Erika Fischer-Lichte
Publisher: Routledge
ISBN: 113621027X
Category : Performing Arts
Languages : en
Pages : 320
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Book Description
From its very beginnings, theatre has been both an art and a public space, shared by actors and spectators. As a result, its entity and history is intimately tied to politics: a politics of inclusion and exclusion, of distributions and placements, of spatial appropriation and utopian concepts. This collection examines what is at stake when a theatrical space is created and when a performance takes place; it asks under what circumstances the topology of theatre becomes political. The book approaches this issue from various angles, taking theatre as a cultural paradigm for political dimensions of space in its respective historical context. Visiting the political dimensions of theatrical space in both theatre history and contemporary performance, the volume responds to the so-called spatial turn in cultural and historical studies, and questions a politics of aesthetics that is discussed in continental philosophy. The book visits different levels and linkages between aesthetic theory and geography, art and sociology, architecture and political theory, and geometry and history, shedding new light on theatre, politics, and space, thereby transforming this historically intertwined triad into a transdisciplinary theme.
Author: Victoria Coldham-Fussell
Publisher: Taylor & Francis
ISBN: 1000522105
Category : Literary Criticism
Languages : en
Pages : 744
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Book Description
This collection provides an innovative and wide-ranging introduction to the world of Arthur by looking beyond the canonical texts and themes, taking instead a transversal perspective on the Arthurian narrative. Together, its thirty-four chapters explore the continuities that make the material recognizable from one century to another, as well as transformations specific to particular times and places, revealing the astonishing variety of adaptations that have made the Arthurian story popular in large parts of the world. Divided into four parts—The World of Arthur in the British Isles, The European World of Arthur, The Material World of Arthur, and The Transversal World of Arthur — the volume tracks the legend’s movement across temporal, geographical, and material boundaries. Broadly chronological, each part views the unfolding Arthurian story through its own lens, while temporal and geographical overlaps between the sections underscore the proximity of these developments in the legend’s history. Ranging from early Latin chronicles and Welsh poetry to twenty-first century anime and political conspiracies, this comprehensive and illuminating book will be of interest to anyone researching Arthurian literature or tracing the evolution of medievalism through literature, the visual arts, and popular culture.
Author: D. Hilbert
Publisher: American Mathematical Soc.
ISBN: 1470463024
Category : Education
Languages : en
Pages : 357
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Book Description
This remarkable book has endured as a true masterpiece of mathematical exposition. There are few mathematics books that are still so widely read and continue to have so much to offer—even after more than half a century has passed! The book is overflowing with mathematical ideas, which are always explained clearly and elegantly, and above all, with penetrating insight. It is a joy to read, both for beginners and experienced mathematicians. “Hilbert and Cohn-Vossen” is full of interesting facts, many of which you wish you had known before. It's also likely that you have heard those facts before, but surely wondered where they could be found. The book begins with examples of the simplest curves and surfaces, including thread constructions of certain quadrics and other surfaces. The chapter on regular systems of points leads to the crystallographic groups and the regular polyhedra in R 3 R3. In this chapter, they also discuss plane lattices. By considering unit lattices, and throwing in a small amount of number theory when necessary, they effortlessly derive Leibniz's series: π/4=1−1/3+1/5−1/7+−… π/4=1−1/3+1/5−1/7+−…. In the section on lattices in three and more dimensions, the authors consider sphere-packing problems, including the famous Kepler problem. One of the most remarkable chapters is “Projective Configurations”. In a short introductory section, Hilbert and Cohn-Vossen give perhaps the most concise and lucid description of why a general geometer would care about projective geometry and why such an ostensibly plain setup is truly rich in structure and ideas. Here, we see regular polyhedra again, from a different perspective. One of the high points of the chapter is the discussion of Schlafli's Double-Six, which leads to the description of the 27 lines on the general smooth cubic surface. As is true throughout the book, the magnificent drawings in this chapter immeasurably help the reader. A particularly intriguing section in the chapter on differential geometry is Eleven Properties of the Sphere. Which eleven properties of such a ubiquitous mathematical object caught their discerning eye and why? Many mathematicians are familiar with the plaster models of surfaces found in many mathematics departments. The book includes pictures of some of the models that are found in the Göttingen collection. Furthermore, the mysterious lines that mark these surfaces are finally explained! The chapter on kinematics includes a nice discussion of linkages and the geometry of configurations of points and rods that are connected and, perhaps, constrained in some way. This topic in geometry has become increasingly important in recent times, especially in applications to robotics. This is another example of a simple situation that leads to a rich geometry. It would be hard to overestimate the continuing influence Hilbert-Cohn-Vossen's book has had on mathematicians of this century. It surely belongs in the “pantheon” of great mathematics books.
Author: Gabriele Lolli
Publisher: Springer
ISBN: 3319104349
Category : Philosophy
Languages : en
Pages : 346
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Book Description
This book brings together young researchers from a variety of fields within mathematics, philosophy and logic. It discusses questions that arise in their work, as well as themes and reactions that appear to be similar in different contexts. The book shows that a fairly intensive activity in the philosophy of mathematics is underway, due on the one hand to the disillusionment with respect to traditional answers, on the other to exciting new features of present day mathematics. The book explains how the problem of applicability once again plays a central role in the development of mathematics. It examines how new languages different from the logical ones (mostly figural), are recognized as valid and experimented with and how unifying concepts (structure, category, set) are in competition for those who look at this form of unification. It further shows that traditional philosophies, such as constructivism, while still lively, are no longer only philosophies, but guidelines for research. Finally, the book demonstrates that the search for and validation of new axioms is analyzed with a blend of mathematical historical, philosophical, psychological considerations.
Author: Matthias Middell
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110639416
Category : History
Languages : en
Pages : 344
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Book Description
Contributions to this volume summarize and discuss the theoretical foundations of the Collaborative Research Centre at Leipzig University which address the relationship between processes of (re-)spatialization on the one hand and the establishment and characteristics of spatial formats on the other hand. Under the global condition spatial formats are products of collective negotiations on the most effective and widely acceptable balance between the claim for sovereignty and the need for interconnectedness.
